We have to prove that the diagonals of parallelogram bisect each other.
Consider, ABCD is a parallelogram with AC and BD as diagonals and M is the point of intersection of the two diagonals.
We have to prove that MA=MC and MB=MD.
Now, In ΔAMD and ΔBMC, we have
∠MAD=∠MCB (Alternate angles as ABCD is parallelogram and DC║AB)
AD=BC (Opposite sides of parallelogram)
∠ADM=∠MBC (Alternate angles as ABCD is parallelogram and DC║AB)
Thus, by SAS rule of congruency,
ΔAMD ≅ ΔBMC
⇒MA=MC and MB=MD (CPCT)
Therefore, we use the method of congruent triangles in order to prove that diagonals of parallelogram bisect each other.
so option A is correct.
Congruent triangles is the concept can be used to prove that the diagonals of a parallelogram bisect each other. Hence, option A is correct.
What is Congruent triangles?When the sides and angles of two triangles match, the triangles are said to be congruent. Thus, two triangles can be placed side by side and angle by angle on top of one another. ABC and PQR are congruent triangles in the image below.
One of four requirements must be satisfied for two triangles to be congruent. Each party has an equal stake. A comparable side and two angles share the same properties. The angle between the two sides is also equal, and there are two equal sides. The hypotenuse, the corresponding side, and a right angle are all equal.
Thus, option A is correct.
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George, a character in Uncle Tom’s Cabin, is enslaved. He has invented something, and his master is curious about his invention. Read the excerpt and answer the question.
What does the author reveal about enslaved people in this passage?
They are considered handsome and superior.
They are considered things, not people.
They are under the control of generous slaveholders.
[George] was a general favorite in the factory. Nevertheless, as this young man was in the eye of the law not a man, but a thing, all these superior qualifications were subject to the control of a … narrow-minded, tyrannical master.
–Uncle Tom's Cabin,
Chapter 2
Answer:
They are considered things, not people.
PLEASE HELP ME I ONLY HAAVE 5 MIN TO TURN THIS IN!!!!
WILL MARK BRAINLIEST!!!!!
Answer:
"The House of Representatives shall be composed of members chosen every second year by the people of several states"
Explanation:
this is the only excerpt that best illustrates the principle of popular sovereignty. Popular sovereignty is when the people consent to who the authority of a state and its government goes to.
Can someone plz help me? :(
Answer: I think its A
Explanation:
the war industries board had far-reaching powers, including the ability to
Answer:
Host bond rallies
Explanation:
Hope it helps:)
was the declaration of independence intended to be a formal declaration of war?
No, the Declaration of Independence was not intended to be a formal declaration of war.
The Declaration of Independence is a formal statement issued by the United States Congress. It was adopted on July 4, 1776, in Philadelphia, Pennsylvania, and declared the 13 British colonies in America as independent states.The Declaration of Independence was a justification of the American Revolution, which was a war of independence fought by the colonists against the British. However, the Declaration was not a formal declaration of war, as the colonists had already been fighting against the British for more than a year at the time of its adoption.Instead, the Declaration of Independence was intended to provide a philosophical and legal justification for the colonists' rebellion against British rule. It declared that the colonies were entitled to the same rights as any other nation and that the British government had violated those rights.In summary, the Declaration of Independence was not a formal declaration of war, but rather a statement of the colonists' reasons for declaring their independence from British rule. It was intended to provide a philosophical and legal justification for the American Revolution, rather than to declare a formal war against the British.
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How did the economy of the western Roman Empire change in the century after the barbarian invasions and the establishment of barbarian kingdoms
Factors contributed to the economic transformation of the Western Roman Empire, resulting in a less centralized, more localized, and predominantly agrarian economy in the century after the barbarian invasions and the establishment of barbarian kingdoms.
The economy of the Western Roman Empire underwent significant changes in the century following the barbarian invasions and the establishment of barbarian kingdoms. Key factors contributing to these changes include:
1. Disruption of trade routes: The invasions led to the disruption of trade routes and networks, which had previously facilitated the flow of goods and resources across the empire. This hindered economic growth and led to localized economies.
2. Decline in urbanization: The decline of major cities and urban centers, partly due to invasions and instability, contributed to a more agrarian and rural economy. Many people moved to the countryside for safety and to engage in subsistence farming.
3. Loss of centralized administration: The fragmentation of the Western Roman Empire into smaller barbarian kingdoms weakened the centralized administration and tax collection system, leading to a decline in public infrastructure and services.
4. Introduction of new economic systems: The barbarian kingdoms implemented their own economic systems and practices, which often relied more on barter and exchange rather than the previous Roman currency-based system.
5. Population decline: Wars, invasions, and diseases led to a significant decline in the population of the Western Roman Empire, which in turn reduced the overall economic output and labor force.
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topic review on the album for 4 pages long
Your topic must have had their first album in 1990 or before
(Do not use The Beatles, Elvis Presley, and Michael Jackson.)do not use these
The body of the paper should discuss your topics:
- history (early life, group formation, getting famous, major moments, controversies, breakup, etc...)
- projects (albums, tours, videos, ect...) At least three full pages on history/projects required (it is recommended that you write these sections in chronological order)
- influence on other (modern, from the last twenty years) groups/artists (this can be
based on opinion and/or research). Give examples of recent groups/artists that have taken influence from your topic. At least one full page on each.
The Rolling Stones are a British rock band formed in London in 1962. They are one of the most successful and influential rock bands in history.
The classic lineup consisted of vocalist Mick Jagger, guitarists Keith Richards and Brian Jones, bassist Bill Wyman, and drummer Charlie Watts. The band has released 25 studio albums in their career, with all of their first albums released before 1990. These albums include classics such as "Beggars Banquet" (1968), "Let it Bleed" (1969), "Sticky Fingers" (1971), and "Exile on Main Street" (1972).
The Rolling Stones have been cited as a major influence by countless bands and artists throughout the years, including Guns N' Roses, U2, Radiohead, and Black Sabbath. Their longevity and incomparable songwriting style have paved the way for generations of modern classic rock bands to come.
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What were the Union's main advantages against the confederance
Answer:
The Union's main advantages against the confederation are the fact they can can produce way more men and weapons.
Write down a few lines of conversation exactly as you hear them spoken. Please review section 3 of the lesson "Mastering Dialogue." Punctuate and capitalize your quotations appropriately, and remember to start a new paragraph when a different person speaks.
Help, 20 points, mark as Brainly.
The conversation exactly as I have heard them spoken are enumerated below.
Conversation spoken verbatim"I can't believe we're finally here," Sarahexclaimed with excitement.
"I know, it's been a long journey," replied John,glancing around in awe.
"Look at that view! It's absolutely breathtaking," Sarah gasped.
"I'm glad we made the trip. This place is truly special,"John said, taking it all in.
"We should take some photos to capture this moment," Sarah suggested, reaching for her camera.
It is to be noted that the conversation provided adheres to the guidelines of proper punctuation and capitalization for dialogue.
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The life and remarkable achievements of the Ottoman Sultan Abdel Hamid II
Answer:
➢ Abdul Hamid was the last Sultan of the Ottoman Empire to hold absolute power. He presided over 33 years of decline, during which other European countries regarded the empire as the "sick man of Europe."
Explanation:
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Sultan Abdul Hamid II was deposed by the parliament on April 26, 1909, and he was succeeded by his brother, Mohammad V (Sultan Mehmet V), on April 27, 1909. The Young Turks formed a government under a new constitution in August 1909.
pagkakaroon ng oras para magdasal at magpunta sa pook dalanginan?
Answer:
having time to pray and go to the place of prayer?
Explanation:
“To keep you is no gain; to lose you is no loss.”
explain this quote
examples of primary sources would be? choose all that apply
Diaries
fictional works
human remains
scholarly works
artifacts
Answer:
1
Explanation:
g good morning me know if you need anything you can do me ready
Answer:
Examples of primary sources would include diaries, artifacts, and scholarly works.
Explanation:
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the first important new york band to adopt the lyric themes of despair, drug addiction and violence was:____.
The first important New York band to adopt the lyric themes of despair, drug addiction, and violence was The Velvet Underground.
The Velvet Underground was a New York-based band that emerged in the mid-1960s and quickly became known for its raw, experimental sound and unconventional lyrics. One of the most striking aspects of their music was their willingness to tackle dark and taboo subjects like drug addiction, violence, and sexual deviance. This was a departure from the more upbeat and optimistic themes that had dominated popular music up to that point. With songs like "Heroin" and "Venus in Furs," The Velvet Underground paved the way for a new generation of musicians who were interested in exploring the darker side of the human experience. Their influence on the punk and alternative music scenes that followed was significant, with bands like the Sex Pistols and Sonic Youth citing them as a major inspiration. Today, The Velvet Underground is widely regarded as one of the most important and influential bands in the history of rock music, and their willingness to take on controversial subjects continues to inspire artists across all genres.
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include all the symptoms that impact humans biologically
Biological influences on human behavior examines how genetics & the environment affect overall behavior. Learn about human behaviors and the importance of twin studies in determining how genetics and environmental factors influence behavior
Human Behaviors: Sometimes I wonder if my sisters and I are really belonging to the same family. We have the same parents, and we definitely look similar, but our personalities are so different. This is because even though we have a similar genetic makeup, our external environment also plays an important role in shaping us as individuals.
Twin Studies: Because identical twins have the same DNA (Deoxyribonucleic Acid), they are often used to help scientists understanding which behaviors may be determined by genetics and which may be influenced by our environment. As exact similar of each other, sets of identical twins can be compared with other sets of identical twins to see how the environment affects their individual behaviors.
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What is the purpose of this map?
Answer:
Its cccc
Explanation:
In the 1754 political cartoon by Benjamin Franklin, what does the severed snake represent?
Answer:
The american colonies under british rule
Explanation:
what did The Marshall plan do?
A. sent aid to countries in Europe
B. Sent aid to soviet union
C. sent more ships to the pacific
D. sent atomic weapons to Asia
Answer:
A
Explanation:
Why did the Supreme Court quickly arrive at a decision in bush v. Gore
is it multiple choice?
what is 50 states and capitals
Answer:
Wyoming (Cheyenne)Wisconsin (Madison)West Virginia (Charleston)Washington (Olympia)Virginia (Richmond)Vermont (Montpelier)Utah (Salt Lake City)Texas (Austin)Tennessee (Nashville)South Dakota (Pierre)South Carolina (Columbia)Rhode Island (Providence)Pennsylvania (Harrisburg)Oregon (Salem)Oklahoma (Oklahoma City)Ohio (Columbus)North Dakota (Bismarck)North Carolina (Rayleigh)New York (Albany)New Mexico (Santa Fe)New Jersey (Trenton)New Hampshire (Concord)Nevada (Carson City)Nebraska (Lincoln)Montana (Helena)Missouri (Jefferson City)Mississippi (Jackson)Minnesota (Saint Paul)Michigan (Lansing)Massachusetts (Boston)Maryland (Annapolis)Maine (Augusta)Louisiana (Baton Rouge)Kentucky (Frankfort)Kansas (Topeka)Iowa (Des Moines)Indiana (Indianapolis)Illinois (Springfield)Idaho (Boise)Hawaii (Honolulu)Georgia (Atlanta)Florida (Tallahassee)Delaware (Dover)Connecticut (Hartford)Colorado (Denver)California (Sacramento)Arkansas (Little Rock)Arizona (Phoenix)Alaska (Juneau)Alabama (Montgomery)
Explanation:
complete the matrix. list at least five strengths or weaknesses for the north and five strengths or weaknesses for the south. include any geographic strengths or weaknesses, and put an x next to them
Strengths of the North: 1. Industrial Capacity: The North had a more developed industrial infrastructure, including factories and manufacturing capabilities, which provided them with a significant advantage in producing weapons, ammunition, and other supplies.
Population and Manpower: The North had a larger population, providing them with a larger pool of potential soldiers and workers to support their war effort.
Transportation Network: The North had a well-established network of railroads and canals, allowing for more efficient movement of troops, supplies, and communication.
Naval Power: The North had a stronger navy, enabling them to enforce blockades on Southern ports, restrict Confederate trade, and control waterways.
Financial Resources: The North had a more robust economy and greater access to financial resources, which allowed them to fund their war efforts more effectively.
Weaknesses of the North:
1. Lack of Familiarity with Southern Terrain: The North was often unfamiliar with the Southern terrain, making it more challenging to navigate and conduct military operations effectively.
2. Initial Lack of Military Leadership: At the start of the war, the North faced a shortage of experienced military leadership, which impacted early military campaigns.
3. War Weariness: As the war prolonged, the North faced challenges in maintaining public support and dealing with war weariness.
4. Dependence on Foreign Imports: The North relied on imports for certain goods, such as cotton, which were disrupted due to the Confederate blockade.
5. Political Divisions: The North had internal political divisions, with factions differing on issues such as the conduct of the war, which occasionally hindered unified decision-making.
Strengths of the South:
1. Defensive War: The South was fighting a defensive war on their home turf, which gave them an advantage in terms of familiarity with the terrain and the ability to use defensive tactics.
2. Skilled Military Leadership: The South had several experienced military leaders who were well-versed in tactics and strategies, such as Robert E. Lee and Stonewall Jackson.
3. Motivation and Resolve: The South had a strong sense of unity and motivation to defend their way of life and their homeland, which contributed to their resilience in the face of adversity.
4. Geographic Size: The South's large geographical size made it more challenging for the Union forces to conquer and occupy the entire region effectively.
5. Agrarian Economy: The South's agrarian economy, particularly its cotton production, gave it economic importance and potential diplomatic leverage.
Weaknesses of the South:
1. Limited Industrial Capacity: The South had a less developed industrial base compared to the North, resulting in limited production capabilities for weapons, ammunition, and other essential supplies.
2. Population Disparity: The South had a smaller population compared to the North, resulting in a smaller pool of potential soldiers and labor force.
3. Transportation Challenges: The South had a less developed transportation infrastructure, including fewer railroads, which hindered their ability to move troops and supplies efficiently.
4. Blockade and Trade Restrictions: The Union blockade on Southern ports severely limited the South's ability to engage in international trade and obtain necessary supplies.
5. Financial Difficulties: The South faced significant financial challenges, including inflation and difficulties in raising funds for the war effort, leading to economic hardships.
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Make a connection--what economic struggles did the Obama administration face in 2008/2009?
Answer: the situation was dire, the economy had lost nearly 3.6 million jobs in 2008 and was shedding jobs at a nearly 800,000 per month rate when he took office, during September 2008, several major financial institutions either collapsed, were forced into mergers, or were bailed-out of the government.
Explanation: hope this helps0^0
explain why externalities can cause market failures.
Explanation:
As stocks continued to fall during the early 1930s, businesses failed, and unemployment rose dramatically. By 1932, one of every four workers was unemployed. Banks failed and life savings were lost, leaving many Americans destitute. With no job and no savings, thousands of Americans lost their homes.
During the European Renaissance what
three countries specialized in copper, iron
gold, and silver
Answer:
I know one of them is Germany
Explanation:
Where is the best place to be in the Underworld, and how does one get there?
Where is the best place to be in the Underworld, and how does one get there? Hades's palace. Least amount of monstrosity found there.
who was chosen to be his co-captain on the expedition?
How does Fredrick Turner describe the american character ?
Answer:
Turner held that the American character was decisively shaped by conditions on the frontier, in particular the abundance of free land, the settling of which engendered such traits as self-reliance, individualism, inventiveness, restless energy, mobility, materialism, and optimism.
Answer:
"Turner held that the American character was decisively shaped by conditions on the frontier, in particular the abundance of free land, the settling of which engendered such traits as self-reliance, individualism, inventiveness, restless energy, mobility, materialism, and optimism."
Explanation:
source: britannica
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How was Roman theater similar to Greek theater?
i need help pleasee
Answer: Greek Theaters were cut out of a slope while Roman venues were developed from strong ground utilizing either concrete or stone.
PLEASEEEEEE HELPPPPPP ASAPPPPP
Answer:
B is the correct answer
Explanation:
what aspects of the great awakining did its critics tend to focous on?
They disapproved of its references to Catholic saints and embrace of the pope's teachings They rejected its embrace of predestination and claim that God was both male and female They rejected its calls to eliminate religion as part of daily life in the colonies They disapproved of its lack of respect for established churches and disorderly emotionalism
Critics of the Great Awakening focused on its disregard for established churches and its emotionalism.
Critics of the Great Awakening, including both Anglicans and other Protestant denominations, saw the revival as a threat to religious order and tradition. They were concerned about the emotional and often chaotic nature of the revival meetings, which they saw as lacking the dignity and decorum that they felt was appropriate for religious worship.
They also took issue with the revival's disregard for established churches and its emphasis on individual experience and emotion over religious doctrine.
Additionally, critics felt that the revival was too focused on the individual and lacked a sense of community and social responsibility. Despite these criticisms, the Great Awakening had a lasting impact on American religion and culture and played an important role in shaping the country's religious landscape.
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