Terra writes the following proof for the theorem: If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram:

Terra's proof

1. AO = OC because it is given that diagonals bisect each other.

2. BO = OD because it is given that diagonals bisect each other.

3. For triangles AOB and COD, angle 1 is equal to angle 2 as they are

4. Therefore, the triangles AOB and COD are congruent by SAS postulate.

5. Similarly, triangles AOD and COB are congruent.

6. By CPCTC, angle ABD is equal to angle BDC and angle ADB is equal to angle DBC.

7. As the alternate interior angles are congruent the opposite sides of quadrilateral ABCD are parallel

8. Therefore, ABCD is a parallelogram.

Which is the missing phrase in Terra's proof? (6 points)

alternate interior angles

Oь

corresponding angles

same-side interior angles

d

vertical angles

Answers

Answer 1

Answer:

Vertical angles or contrary angles are the statement that Terra's proof is still absent. The angles formed opposite to each other when two lines cross each other are equal.

The missing word in Terra's proof is described as :

Terra describes the parallelogram nature of the diagram. Because they are vertical or opposite angles, these angles are equal.

The angles formed opposite to each other when two lines cross each other are equal. As a result, we have discovered that either vertical angles or opposite angles make up Terra's proof.

Answer 2

The missing phrase in Terra's proof is "corresponding angles." The correct option is b.

In step 6, Terra uses the CPCTC (Corresponding Parts of Congruent Triangles are Congruent) to establish that angle ABD is equal to angle BDC and angle ADB is equal to angle DBC. This conclusion is based on the fact that triangles AOB and COD, as well as triangles AOD and COB, are congruent. When two parallel lines are intersected by a transversal (the diagonals in this case), the corresponding angles formed are congruent.

Therefore, Terra's proof relies on the congruence of corresponding angles to show that the opposite sides of quadrilateral ABCD are parallel, leading to the conclusion that ABCD is a parallelogram.

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Related Questions

Zach looked at data displayed in a table on his local health district. People were asked questions about certain health behaviors. It compared the number of people answering “yes” in Zach’s district to the state average.

CANN SoME ONE HELP ME WITH MY k12 quiz??

Answers

Heyy I also go to K12
But Is there a chart or anything?

I’m confused is there a chart

In a baseball game, a batter hits a ball that bounces to you in center-left field. A runner is on first base. The correct play is to throw to the second baseman. Why? Give two reasons.

Answers

Because it is a forced play at 2nd and 2nd base is closer to make the play to

2nd base is close and the runner on first will have to run to second because they are forced to.

WORTH 40 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: it is worth 20 liar but anway i will still answer it

Explanation: 1,6,9

1. Anorexia

Anemic

N ot going to live very long

O nly surviving

Relapsing

Emicated

X starving to death

I gnored

C old

I did 1

Sad
Health
Medical
Doctor
Physical

Discuss at least three negative behaviors that you participate in that are not
environmentally conscious and that you will change in order to benefit the
environment.

Answers

Simple Explanation:
1.Hyperventilating is a under seen action that will change the environment with rapid Oxygen intake and rapid Co2 influx
2. Secreting any bodily fluid is production of matter that will change the environment based on the situation (;
3. Smoking, that’s a given, you are inhaling toxic material and also putting smoke toxins into the atmosphere damaging the earth little by little.

1. One is keeping lights on
2. Keeping fridges open
3. Having a lot of stuff plugged in

Explain the difference between short term and long term goals. List one example of each

Answers

Answer: short term goal: getting a good grade on a test tomorrow

long term goal: eating healthy for 2 years

Explanation:

Long Term- is something you want for a long time

Which is considered normal blood pressure?
A) 129/89
B) 118/76
C) 135/85
D) 145/90

Answers

Answer:

Explanation:

Answer : 118/76

Explanation: B

Which of the following is not helpful in preventing heart disease?
a
Focusing on muscle strengthening activities two days per week.
b
Engaging in cardio activities five days per week.
c
Limiting intake of fatty foods.
d
Eating more sugary and salty foods.

Answers

Answer:

Explanation:

The option that is not helpful in preventing heart disease is:

d) Eating more sugary and salty foods.

Consuming excessive amounts of sugary and salty foods is not helpful in preventing heart disease. High sugar intake can contribute to obesity, diabetes, and metabolic disorders, which are risk factors for heart disease. Additionally, a diet high in sodium (salt) can increase blood pressure, which is a major risk factor for cardiovascular problems.

Answer: D
Eating more sugary and salty foods

How do molecules from food and air get to the cells in the body?

Answers

Answer:

Molecules from food and molecules of oxygen move from the mouth and the nose to cells of the body through a series of blood vessels, including veins, arteries, and microscopically small blood vessels (capillaries), that extend throughout the body.Explanation:

Food having a small monomer of biomolecules and oxygen in the air is travel through the circulatory system into the cell.

How do molecules reach the cell?

Through a network of blood vessels, which include veins, arteries, and tiny blood vessels (capillaries), that stretch throughout the body, food and oxygen molecules go from the mouth and nose to body cells.

One of the human body's eleven organ systems is the circulatory system. Its primary job is to move waste products away from cells and nutrients toward them.

Through chemical processes, food is transformed, creating new molecules that release energy as it passes through an organism.

Therefore small molecules from food and air travel through the circulatory system.

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Question 13 (1 point)
To stop severe bleeding, you should first cover the wound in gauze and then position the wound higher than the heart to slow blood loss.
True
False
Question 14 (1 point)
Most people who are stung by insects can be treated at home, but people who experience anaphylaxis require immediate emergency care.
True
False
Question 15 (1 point)
After moving electrical wires and checking that a person with electrical shock is safe, you then call 911.
True
False
Question 16 (1 point)
Automated external defibrillators and Hands-Only CPR should be used only by people with training to restore breathing and heartbeat.
True
False

Answers

Answer: False, and then the rest after that are true

Answer:

Question 13 Answer: True

Question 14 Answer: True

Question 15 Answer: False

Question 16 Answer: True

What are proper uses of a prescription medicine?

Select all that apply.

reading and following the instructions on the package insert

taking more than the doctor prescribes

giving the medicine to a sibling who is sick with the same illness

asking the doctor how to take the medicine

Answers

Reading and following the instructions on the package insert
Asking the doctor how to take the medicine

The proper use of prescription medicine is reading and following the instructions on the package insert and asking the doctor how to take the medicine. The correct options are a and d.

What is a prescription?

A prescription drug is one that can only be given to a patient under the written direction of a licensed healthcare provider. Blood pressure pills, cancer medications, and potent analgesics are a few examples of prescription medications.

Simply put, failing to take your medication as directed by your doctor or pharmacist could cause your condition to worsen, necessitate hospitalization, or even result in your death.

Therefore, the correct options are a, reading and following the instructions on the package insert, and d, asking the doctor how to take the medicine.

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What is a benefit of living in a mixed-use development over a suburb

Answers

Answer:

The creation of better spaces, more affordable, and safer neighborhoods that are accessible on foot is made possible by the establishment of mixed-use developments. Green space creation or preservation is favored by reducing urban use areas. They use less energy and produce fewer emissions.

Explanation:

Hope you found this answer helpful!

Answer:

It is cheaper safer with accesability of foot trafic

is it true that humen have 5 scenes

Answers

If you mean humans have 5 senses (taste touch hear smell see) YES

Answer:

Humans have 5 senses

Explanation:

Touch Smell vision hearing Touch

Hello i have a question in science, could you help me please ? it's very important, thank you very much !
Explain how the leukocytes of the immune system act against an infection and result in the elimination of its pathogens (antigens).
A written and argued synthesis using the following keywords :
immune system, infection, pathogen, immune response, phagocytosis, "kiss of death", antibody, antigen, immune complex, B lymphocytes, T lymphocytes, memory lymphocytes.

Answers

As the white blood cells (leukocytes) travel though the bloodstream and tissues, they find the infection and notify other white blood cells while they protect the body of infection from an unknown organism. Then the white blood cells arrive they attack the invader by making antibody proteins to attach to the organism and destroy it.

The immune system is like an army of defenders inside our bodies that helps protect us from germs and harmful invaders. These invaders are tiny creatures called pathogens, such as bacteria and viruses, that can make us sick. Our immune system's job is to recognize these invaders and get rid of them.

White blood cells, also known as leukocytes, are the heroes of our immune system. They are like the soldiers that fight against the bad guys. This is how they do it:

1. Recognizing the Invaders: When a germ enters our body, some white blood cells called phagocytes quickly detect them. They act like detectives, searching for any sign of the bad guys.

2. Eating the Invaders: The phagocytes are hungry for action! They surround and swallow the germs in a process called phagocytosis. It's like eating the invaders to protect us.

3. Sending "Kiss of Death": Other white blood cells, called natural killer (NK) cells, are like the special forces of our immune system. When they find infected cells, they release special chemicals that tell those cells to destroy themselves, like giving them a "kiss of death."

4. Antibodies, the Tag Team: Another group of white blood cells, called B lymphocytes, are like the architects of our defense. When they spot the invaders, they create special proteins called antibodies. These antibodies stick to the germs, like putting tags on them, so other white blood cells can find and destroy them.

5. Killer T Cells: Some white blood cells, called T lymphocytes or T cells, are like the assassins. They find infected cells and directly attack and destroy them, making sure the germs can't spread.

6. Immune Memory: Our immune system is clever! After fighting off an infection, it remembers the germs it encountered. This way, if the same germs try to attack us again, our immune system is ready to fight them faster and better, like having a secret plan to defeat the invaders.

So, thanks to our amazing white blood cells, our immune system works hard day and night to keep us healthy and protect us from infections! It's like having a superhero team inside our bodies, fighting off the bad guys and keeping us safe.

How do you cope with anger issues?

Answers

breathe! drink water, stay positive :)

Surrounded your self In a good environment with good people.

NEED HELP ASAP!!!!!!!!!!!!!!!!!!!

Answers

a c d, possibly b if i’m correct

All of the above, so abcd

plz help ,having a gap between the frisbee and the web of your thumb is critical for air flow

false

true

Answers

This is actually true

this answer is true.

Write one paragraph on something that has recently made you happy (also I'm in Grade 8 so it would be nice if you could write something an eighth grader would write).

Answers

The thing that recently really made me happy was one act of kindness. Last week I was walking down the street, and I found a homeless family, it looked like they didn't have food in a while, so I decided to go to the convenience store to get them something to eat. When I came back, I saw that one of their kids had fainted, so I rushed to them and gave them a bottle of water and the food that i bought them, thankfully the kid woke up, and the family thanked me for this, they said that the child didn't eat for two days and was about to die from starvation. I had no idea how such a small act of kindness could save a person, but it really made me happy, how I got a chance to experience this and realise the importance of kindness.

(I'm sorry I don't know the exact level of 8th)

One thing that made me happy was when we rescued a kitten. We have neighbors that has a lot of cats and they roam around the whole neighborhood. But this kitten was left behind. He followed his dad to our house and the kitten stayed behind and got scared when my dad left for work so he climbed up in my brothers car engine. My mom went outside to water her flowers and heard a meowing sound. She quickly ran over to it and found the kitten. As soon as she freed it, the kitten was shaking and scared. She took it inside and it’s been out cat ever since. It’s a boy and we named him Scout. He has brought us joy and laughter when we need it the most. We love him so much. The is orange and blue eyes. He is healthy and doing good. That’s one thing that made us so happy.

(Btw I’m 8th grader too so sry if I did bad… I don’t know if the story was meant to be made for you or just a random story… have a good day.)

How does bicycling build fitness?

Answers

Answer:

It stimulates your blood flow and makes you legs stronger. It can also help prevent cardiovascular diseases. Also, strengthens your heart muscles, lowers resting pulse and reduces blood fat levels.

Explanation:

Hope it helps! =D

What are 10 differences between the heart and the brain?
Hopefullly this helps someone XD

Answers

Answer:

the brain thinks and the heart feels

The brain is an organ that controls thoughts,memory, emotion, touch, motor skills, vision, breathing, temperature, hunger and every process that regulates our body.
The heart is a pump usually beating about 70 to 100 times a minute With each heartbeat, the heart sends blood throughout our bodies, carrying oxygen to every cell. After delivering the oxygen, the blood returns to the heart. The heart then sends the blood to the lungs to pick up more oxygen.

Which of the following describes an outcome variable (dependent variable)?

A. the item or subject that the experiment is conducted on

B. a variable that changes in an experiment due to another factor

C. the variable that the experimenter is changing

D. any condition or event that could affect the outcome of an experiment

Answers

I’m pretty sure it’s B. A variable that changes in an experiment due to another factor. Please let me know if you get it right or not!

The answer should be B

What is the fastest heart beat?

Answers

Answer:

fastest is 480 beats per minute

Answer:

The fastest heartbeat recorded to date is 480 beats per minute

Explanation:

what is the normal heart rate for a 7th grader age 12 to 13?

Answers

Answer:

60-100

Explanation:

I took a health class:)

The normal heart rate for a 7th grader who is between the ages of 12 and 13 is around 70 to 100 beats per minute (bpm). It is important to note that heart rate can vary depending on a number of factors, such as activity level, stress, and overall health.

ℍ! ℍ '? . , ℕ , , , , .

Answers

Answer: hellooooooooooooooo

Answer:

Oh, oh

Oh, I can't get it back

But I don't want it back

I realized that she don't know how to act

Never been a du m b dude, no, I'm not dense

I just had a slight lack of common sense

I was the good guy

She was the bad girl

I'm thinking one girl

She thinking me, Earl, James, and Jimmy

Yep, she had plenty

But love for me, she didn't have any

I was inviting (her into my heart)

Hmm, but she was out riding (in some other man's car uh)

She was my night time (thought I was her star)

Guess I was wrong, but see, I'm strong

Won't take long for me to move on

Oh, please, don't worry 'bout me, I'm fine

(Please, don't worry 'bout me, I'm fine)

Only gonna play the fool one time

(Only gonna play the fool one time)

Trust me when I say that I'll be okay

Go on, girl (go on, girl)

Go on, girl

I can't get it back

But I don't want it back

I realized that she don't know how to act

Tried to settle down and look what I get

Thought it was my time, but I guess not yet

She at the b a r getting drinks from many men

I'm in the house, thinking she's with her gi rlfri end s

Just not knowin', truly not knowin'

I look back now like, "Man, I was open"

I was inviting (her into my heart), hey

But she was out riding (in some other man's car)

She was my night time (thought I was her star)

Guess I was wrong, but see, I'm strong

Won't take long for me to move on

Oh, please, don't worry 'bout me, I'm fine

(Please, don't worry 'bout me, I'm fine)

Only gonna play the fool one time

(Only gonna play the fool one time)

Trust me when I say that I'll be okay

Go on, girl (go on, girl)

Go on, girl

Ooh, the mistake I made was clear

(We never should've been together)

That's the reason you're not here

(I know that I can do much better)

Hey, not a single salty tear

Not a feelin' in my chest

Baby, I'm feelin' no stress

I'm too fly to be depressed

Go on, girl (go on, girl)

Mmm

Go on, girl, go on, girl

Oh, oh, oh, oh, hey, oh

Please, don't worry 'bout me, I'm fine

(Please, don't worry 'bout me, I'm fine)

Only gonna play the fool one time

(Only gonna play the fool one time)

Trust me when I say that I'll be okay

Go on, girl (go on, girl)

Go on, girl

Oh, please, don't worry 'bout me, I'm fine

(Please, don't worry 'bout me, I'm fine)

Only gonna play the fool one time

(Only gonna play the fool one time)

Trust me when I say that I'll be okay

Go on, girl (go on, girl)

Go on, girl

Mmm, go on, girl, go on, girl, go on, girl

I'll be fine

Explanation:

How does squatting help your overall health and well-being? How do you feel before stretching? How do you feel after stretching?

Answers

Answer:

Stretching has been shown to activate your parasympathetic nervous system. When this system is activated, it can result in a feeling of calmness and relaxation.

Stretching helps you relax your body and muscles so you feel relaxed and regenerated afterwards.

There is something where you have to touch you wrist or neck but I don’t know what it is for is it for your heart rate??

Answers

Answer:

its ur pulse.

you can touch ur wrist or ur neck

it’s you’re pulse and you can check it in your wrist or on your neck.

“Everybody’s getting on my case! I asked my best friend if I could borrow some money to get some chewing tobacco and he told me he’s not going to hang out with me if I keep using chew. Who cares? I don’t need him as a friend! And my mom grounded me because she found a tin in the back pocket of the jeans I threw in the wash. What’s her problem? Then this morning I saw a weird white spot in my mouth. But if I tell anyone, they’re just going to hassle me about using tobacco. I’ll wait and see if it gets better. It’s probably nothing to worry about...”

Which stage of addiction is this person in?

A. First Use

B. Continued Use

C. Tolerance

D. Dependence

Answers

Answer:D

Pls change its not good for your health it may leas to respiratory disease

Explanation:

The person is in the stage of Dependence .

What is dependence ?

"dependence is the state of relying on or being controlled by someone or something else".

What is the long term effect of tobacco dependence?

People who are dependent on nicotine products are at a greatly increased risk of respiratory diseases, cancers (especially lung cancer), stroke, and heart disease.

Hence ,option D is correct

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How does being malnourished affect other aspects of their neighbors' lives, like mental and physical growth, prenatal care and educational achievement?

Answers

Being malnourished can have significant negative impacts on physical and mental growth, as well as educational achievement and prenatal care, among other things. Malnourished individuals may experience stunted growth and development, weakened immune systems, and decreased cognitive function. This can make it more difficult for them to succeed in school, find and maintain employment, and have healthy pregnancies.

Malnutrition can result in unplanned weight loss, a low body mass index (BMI) and vitamin and mineral deficiencies.

Question 18 (1 point)
Which of the following groups is capable of using peer pressure to influence you to drink alcohol?
a
Your favorite celebrities.
b
Your parents.
c
Your older siblings.
d
Your friends who want you to try it with them.
Question 19 (1 point)
What is the most obvious and effective government approach to preventing alcohol use disorders among young people?
a
Setting the minimum legal drinking age to 21.
b
Drinking prevention programs.
c
Limiting access to alcohol.
d
Making it illegal to use a fake ID to purchase alcohol.

Answers

B. Your parents
19) d. making it illegal to use a fake ID to purchase alcohol

Question 18. Your friends who want you to try it with them.
Explanation: if you have friends who drink you may want to try to fit in with them.

Which of the following is an example of using effective speaking skills? look in comments

Answers

Effective speaking skills is knowing more languages and speaking fluently or knowing how to motivate you listener and speaking with a good strong tone

Effective speaking skills are being bilingual and speaking fluently. Also being able to have your audience engaged

Question 11 (1 point)
Which of the following is an example of a disease caused by bacteria?
a
Measles.
b
Influenza.
c
Malaria.
d
Food poisoning.
Question 12 (1 point)
Which of the following is not a transmission method for communicable diseases?
a
Heredity.
b
Coughing.
c
Mosquitoes.
d
Contaminated objects.
Question 13 (1 point)
Sore throat, fever, painful swallowing, and voice changes are all symptoms of ____.
a
mononucleosis
b
conjunctivitis
c
influenza
d
tonsillitis

Answers

11) d. Food poisoning
12) a. Heredity
13) d. Tonsillitis

Food poisoning is caused by bacteria in food and mostly leaves you on the toilet for a day

Other Questions

The ratio of the number of peanuts to the number of cashews in a trail mix recipe is 5:3.Complete the table to show the relationship between peanuts and cashews in the trail mix recipe. Enter a number in each box. why did kant think it necessary to hypothesize the existence of the noumenal world as a response to what he called a ""scandal in philosophy""? Describe the best place to put your long term goals. weather and climate fill in the blank i need help with pressure and pascals principle for science The cost of installing lights in a company's parking lot should be recorded as a cost of A. land improvements B. leaseholds C. leasehold improvements D. land Based on the stated expectations of the sit-and-reach test, which of the following is TRUE?A.Men are generally more flexible than women.B.Women are generally more flexible than men.C.Men and women are about equally flexible.D.No broad conclusions can be drawn about flexibility. Its almost lunchtime and an exchange student from Paraguay is asking for directions to the cafeteria. Give them directions (using the phrases you learned in the tutorial) from your Spanish class to the cafeteria. Make sure that you include at least 4 commands that you learned in this unit, and if you need to, be creative with the route they will take (we wont call your principal to verify). Remember, the main goal is to practice directions vocabulary! Mrs. Lee needs 15 batches of cookies for a bake sale. She uses 1 cups of sugar for each batch. If she made of the batches yesterday, how many cups of sugar will she need to finish the rest of the batches? What kinds of activities have women's rights activists engaged in to make progress in Indonesia Which group role encourages the interaction of the other members?A. timekeeperB. note-takerC. facilitator What is the job of a cells plasma membrane Solve the equation: 3x-1/5-2/9x=124/5 Which best explains why words that are randomly put together may still seemto have meaning?A. Meaningless words can help make a short, dense poem longer.B. We expect words to be random, so we do not look for meaning.C. Random words are more interesting than regular words.D. Our minds naturally try to find connections between words. plzzzzzzz help for a brainly Why is the meeting between pollitzer and stieglitz described as fateful This passage is an example of persuasive writing becausees )LA)the author uses figurative language to describe a setting.B)the author uses figurative language to narrate a personal story,the author uses figurative language to appeal to the audience's emotions.)the author uses figurative language to keep his audience guessing abouthis intent. Democracy ,oligarchy,tyranny,aristocrats which one not related . Help me pls Reflect on the political, social, and economic climate of the Cold War era. Which of these statements is not an accurate statement of the time? a. Public trust in the U.S. government was at an all-time high.b. Tensions due to nuclear proliferation were felt throughout the world.c. Containing communism was a driving force in U.S. foreign policy. d. The United States experienced economic prosperity in the years immediately following WWII.thanks Explain why you should elaborate when writing a short story