ABCD, GB is parallel to AK, AC is congruent to DB, GB is perpendicular to BD, KC is perpendicular to AC
Prove: GB is congruent to KC

USE STATEMENT AND REASONS

Answers

Answer 1

Answer:

The two column proof is given as follows;

Statement              [tex]{}[/tex]                                 Reason

1. [tex]\overline {ABCD}[/tex], [tex]\overline{GD}[/tex] \\ [tex]\overline {AK}[/tex], [tex]\overline{AC}[/tex] ≅ [tex]\overline {DB}[/tex]      [tex]{}[/tex]       Given

[tex]\overline{GB}[/tex] ⊥ [tex]\overline {BD}[/tex], [tex]\overline{KC}[/tex] ⊥ [tex]\overline {BD}[/tex]

2. ∠KCA = ∠GBD = 90°            [tex]{}[/tex]              Given

3. Therefore,

4. ∠KAB = ∠GDC             [tex]{}[/tex]                       Alternate interior angles

5. ΔGBD ≅ ΔKCA            [tex]{}[/tex]                      By ASA rule of congruency

6. [tex]\overline{GB}[/tex] ≅ [tex]\overline {KC}[/tex]             [tex]{}[/tex]                              By CPCTC

Explanation:

Given that two angles and an included side of triangle ΔGBD are equal to the corresponding two angles and an included side of triangle ΔKCA, therefore, ΔGBD ≅ ΔKCA by the Ange-Side-Angle rule of congruency, therefore, we have;

Segment [tex]\overline{GB}[/tex] is congruent to segment [tex]\overline {KC}[/tex] by Congruent Parts of Congruent Triangles are Congruent, CPCTC.


Related Questions

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Answer:

The answer is "The Last choice".

Explanation:

She may arrange several ideas on even a subject in an overview. It is an outline that allows you not only to meet your goals but to also prepare for certain aspects of their reading. Its aim of this overview is to help organize a document by checking if and how ideas interlink or whether certain items need further support, that's why the last choice is correct.

Answer:

D. she needs to revise step 4

Explanation:

EDGE 2020 BABBYYY

Using complete sentences, explain how Germany was partitioned following World War II.

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Answer:

After World War II, Germany was divided into two states: East Germany and West Germany. East Germany fell under the influence and control of the Soviet Union, while West Germany was aligned with Western Europe and the United States.

Explanation:

Which phrase best describes the structure of the executive branch? A. Dozens of legislators making laws that affect all Americans B. A cabinet of elected leaders who serve an appointed president C. One appointed leader who guides the work of many elected leaders D. Two elected leaders in charge of millions of appointed workers SUBMIT​

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Answer:

its c

Explanation:

i took the test

Was the directory, 1795-99 successful or not ?

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Answer:

Directory law has failed in France because of the problems the country is facing, including civil war, internal corruption, famine and war with neighboring nations. To bring peace, the Directory has used its power to put down tensions and cancel elections if they do not agree with the results.

hope it helps!

7.Which single factor generally has the greatest effect
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A) the distance from the Equator
B) the extent of vegetative cover
Cthe degrees of longitude
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Answers

Answer:

A) the distance from the Equator

Explanation:

Which planet has high temperatures due to the runaway greenhouse effect?
O A. Earth
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O D. Venus

Answers

Answer:

You answer is D, Venus.

Explanation:

Answer:

Venus

Explanation:

A few billion years ago, high levels of carbon dioxide in the Venusian atmosphere may have trapped enough heat to trigger a global SGE that boiled away the oceans. This is known as a runaway greenhouse effect. Today, the surface of Venus is hot enough to melt lead.

His response was so______ that I thought he be angry at my question.

Answers

I’ll answer you ur question but what are the choices to it

Answer:

Condensed

Explanation:

Jim’s clothes were a bit outgrown, and the tan velvet of his overcoat was frayed and worn. He was tall and thin, with a narrow chest and longer-than-average arms. He wore a mother-of-pearl clip on his tie, and a white carnation in his buttonhole. He was nervous, but he was sure he could convince Mr. Waller to take him back as an agent. After a short wait, Betty ushered him into Waller’s office so he could make his case. Write four sensory details that could describe Jim.

Answers

Answer:

Touch: Jim's overcoat was frayed and worn.

Sight: Jim's clothes were a bit overgrown

Sight: Jim was tall and thin, with a narrow chest and longer-than-average arms.

Sight: Jim's mother-of-pearl clip on his tie, and a carnation in his buttonhole.

Explanation:

I could only find sensory details that were Sight and touch. I hope my answer helps.

I NEED HELP WITH WORLD GEO
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Answers

Answer:

what are the questions tho lol

Explanation:

As surface winds in the Norther Hemisphere blow southward, they are deflected to the left.
True or False

Answers

Answer:

True

Explanation:

The North Helisphere is deflected right, and south to the left.

Why do the US and Canada share many cultural characteristics?​

Answers

A culture trait shared by Canada and the United States is the English language. The beliefs and customs of a group of people, is their culture. A very important reason for limiting the power of government is to protect civil rights. A form of government known as a monarchy is rule by a king.

i hope this helped <3

Answer:

The United States and Canada have a profound and multifaceted partnership and alliance, strengthened by shared values and interests. Our bilateral cooperation reflects our common history, ideals, and mutual commitment to address the most challenging bilateral, multilateral and global issues.

How does a meander form in a river?

Answers

Answer:

A meander forms in a river by eroding laterally, to the right side then the left side and the left side again, this forms large bends, which then horseshoe like loops called meanders. The force of the water then erodes and undercuts the river bank on the outside of the bend which is where the water flows and it has the most energy due to the decreasing friction.

hope this helps :)

Please Help, Five Star, Brainliest, thanks

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Answer:

C. Tertiary -> Eastern Virginia

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The Tertiary Period (yellow) is most present in the eastern part of Virginia

The Earth is broken into pieces called plates that are different sizes and shapes. true or false

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Answer:

it's called Continental Drift!

what you said it's fails

Plants use sunlight to convert nutrients into energy. What form of energy transfer is taking place? energy of the Sun is converted into energy by the plants.​

Answers

the radiant energy of the sun is converted into chemical energy by the plants:)

Answer: radiant to chemical

Explanation:

Conquistadores were natives of what country?

A.
England

B.
Mexico

C.
Spain

D.
France

Answers

Answer:

Conquistadors came from all over Europe. Some were German, Greek, Flemish, and so on, but most of them came from Spain, particularly southern and southwestern Spain. The conquistadors typically came from families ranging from the poor to the lower nobility. The very high-born rarely needed to set off in search of adventure.

Explanation:

Answer:

Spain

I hope this helps

Fishing and farming are examples of which type of industry?

Answers

Agriculture, forestry, and fishing industries.

Answer:

The primary industry.

Explanation:

Other scientists didn't believe Wegener's theory because he couldn't explain how the continents moved.

True
False

Answers

Answer:

this is indeed true

Explanation:

Alfred Wegener produced evidence in 1912 that the continents are in motion, but because he could not explain what forces could move them, geologists rejected his ideas. Almost 50 years later Harry Hess confirmed Wegener's ideas by using the evidence of seafloor spreading to explain what moved continents.

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Answers

Answer:

re do this question

Explanation:

At the Summer Solstice the Sun's rays directly perpendicular to what location on the Earth?

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B. Arctic Circle
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Answers

Answer:

Tropic of cancer

Explanation:

This happens because in the northern hemisphere experiences summer

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.C.directly above the focus
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Answers

I think its A but I honestly don’t know

Answer:

A. Along a fault

Explanation:

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Answers

Answer:

Concurrent powers are powers shared by the federal government and the states. Only the federal government can coin money, regulate the mail, declare war, or conduct foreign affairs.

Explanation:

Two very important elements found in the lithosphere are __________.

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B. Oxygen and Silicon
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Answers

Answer:

B. Oxygen and Silicon

Explanation:

Answer:The eight commonly occurring elements that are found in Earth's lithosphere include oxygen, silicon, calcium, sodium, magnesium, aluminum, potassium and iron.

Explanation: hi

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Answers

Answer:

Ivory is a mineral with a hardness of 3 out of 10

Explanation:

Answer:

yes

Explanation:

i need the best hero story for my arts class and it needs to not be copyed because she know

Answers

Answer: what about thor

Explanation:

Answer:

the best hero story then, huh?

Explanation:

Well it all began on a night like tonight, with lightning and a labratory. the old scientist was making a potion that would start an old, dead, body into a new light of life. As he was creating a potion, he looked away. This man was no ordinary human. His name was Captain DC. He fought for truth and Justice and he was a superhero. He had a mask similar to batman, but not quite the same. His suit was a neon green and black with a black and blue DC symbol. his favorite thing to do in his spare time was to be in the lab with the old scientist. He learned to make weapons for his suit. When he got older, he joined the US military and got a camouflage and black super hero suit. When he got out, he went to metropolis and fought crime. From then on, Metropolis city had a very good defense. And Metropolis city finally knew what it was like to have a superhero protect them from evil.

Will give brainliest Question on picture

Answers

C is correct.

Have a good day!

Explain:
In order, It’s D,A,C,B so A is second.

15 POINTS
Which type of government has a powerful central government that does not
allow smaller local governments to exercise much power or independence?
A. Unitary
B. Parliamentary
C. Federal
D. Confederal

Answers

Answer:

Unitary

Explanation:

In a unitary form of government, all the power rests in a central government. The country  may be divided into states or other sub-units, but they have no power of their own

How does a meander form in a river?

Answers

Answer:

As the river erodes laterally, to the right side then the left side, it forms large bends, and then horseshoe-like loops called meanders . ... The force of the water erodes and undercuts the river bank on the outside of the bend where water flow has most energy due to decreased friction.

I need some help plssssss!

Answers

Answer:

The answer is B.

Explanation:

Selective breeding (keyword 'selective') individuals 'choose' what they would like to be bred in order to achieve a desired goal.

Which sequence of change in rock type occurs as
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Answers

Answer:

Metamorphic rocks

Explanation:

Not surre if i spelled it right lol

The sequence of the Metamorphic rock occurs when the shale is subjected to increasing heat and pressure.

Basically, when Igneous rock are formed through Molten Magna, the process called Erosion, Weathering and other natural process turns the into Sedimentary rock.

The Sedimentary rock also called the Shale also transformed into the Metamorphic rock under increasing heat and pressure.

Therefore, in conclusion, the answer is Metamorphic rock.

Read more on this here

brainly.com/question/2901820

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