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

As air rises, it cools and provides abundant rain in the tropics.
True or False

Answers

Answer:

TRUE

Explanation:

Answer:

True

Explanation:

When it cools, it causes water vapor to water liquid. Forming clouds, and precipitation.

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Answer:

Volcanoes go dormant because magma from the Earth's mantle can no longer reach the volcano.The landform nearest to it is rocky mainly consist of igneous and metamorphic rocks. A dormant volcano is an active volcano that is not erupting, but supposed to erupt again and it's also called the "sleeping giant".

I've attached a picture too which shows the landforms near a dormant volcano.

Because magma from the Earth's mantle can no longer reach the volcano, it goes dormant. The "sleeping giant" term refers to a dormant volcano, which is an active volcano that is not currently erupting but is predicted to do so in the future.

What is a volcano?

A volcano is a hole in a planet's or moon's surface through which material from the interior of the object, which is warmer than its surroundings, may escape. Eruption results from this material escaping. The material that is ejected into the sky during an eruption may be explosive. Alternately, it might be more subdued with smoother material flows.

The various layers of rock, ash, or other substances that accumulate around these volcanic sites typically result in mountains. Volcanoes can be inactive, extinct, or active. Volcanoes that have recently erupted or are predicted to do so soon are considered active volcanoes. Volcanoes that are dormant no longer erupt, yet they could do so in the future. It's likely that extinct volcanoes will never erupt again.

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Solve for x*
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X 13 Z
O 20
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O 7.5

Answers

Answer:

re do this question

Explanation:

What evidence is used to support the theory of plate tectonics?
A.) The continental drift hypothesis
B.) The process of erosion and deposition
C.) The presence of molten iron in the Earth’s core
D.) The magnetic reversals found in the oceanic crust


help me pleaseeeee

Answers

Answer:

D

Explanation:

I think this is correct been a year since I have done this so if I get wrong sorry ;C

Answer:

A.

Explanation: Because tectonic plates move every country or continent 7 cm from its original spot every year since that is how Earths land moved since the beginning of the Earth.

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Answers

500m


Just do 50 x 10 = 500

He will fall 50 m every 10 seconds so you have to do ratios.

two indian economic sectors that are rapidly expanding to the international market are:

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B. CUSTOMER SERVICE AND SOFTWARE DEVELOPMENT.

C. SCIENTIFIC RESEARCH AND MEDICINE.

D. ALTERNATIVE FUELS AND AEROSPACE.

Answers

The Customer support and software development sectors of the Indian economy are the meat in demand around the world.

What are the main sectors of Indian economy?In terms of ownership, the Indian economy is split in two. Both the public and private sectors are involved. The primary, secondary, and tertiary economies are the three sectors that make up the Indian economy. The Indian economy is split into two types of operations: organized and unorganized. The public and private sectors are separated when it comes to ownership.In general, an economy that is making the transition to a developed market economy is referred to as an emerging market economy. It has a developed financial system infrastructure, a growing per capita income and GDP, and rising debt and stock market liquidity.

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PLEASE HELP!!!! I WILL MARK BRAINLY

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Answer:

its B

Explanation:

the summer solstice happens when the northern hemisphere is tilted towards the sun

Answer:

B

Explanation:

i just passed this answer lol

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D the Purenees I did this in school very easy

Answer:

D

Explanation:

Took the test

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Answer:

The answer to this question is B. By terraces.

Answer:

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The US, Canada, & Mexico all share a similar set up in government. Why? And where are the origins of Mexico culture from? Spanish & what other language is spoken in Guatemala?

Answers

Let's understand this :

Canada could be a constitutional autocracy. The Queen, pictured by the governor, is that the head of state and also the Prime Minister is that the head of state. The U.S. could be a republic. the top of state and head of the govt. ar a similar person: the President. The Politics of Mexico surface in an exceedingly framework of a federal presidential representative democratic republic whose government relies on a law-makers system, whereby the President of Mexico is each head of state and head of state, and of a multi-party system. All three sets of government run in a democratic way, held elections and the representative is chosen by the people.

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Which factors that affect the Florida peninsula can result from human activity? the formation of sand dunes and springs the formation of springs and drilling of artesian wells the intrusion of salt water and formation of sand dunes the mining of phosphate and erosion of the coast

Answers

Answer:

the mining of phosphate and erosion of the coast

Explanation:

The Florida peninsula is the porous plateau of a karst limestone which is sitting atop of a bedrock called as the Florida Platform. Much of the land of Florida State is surrounded by water on its three sides namely, Gulf of Mexico, The Straits of Florida and the Atlantic Ocean.

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D

Explanation:

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Answers

Answer:

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Answers

Answer:

Tropic of cancer

Explanation:

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Answers

For decreasing the expanding weight of detonating populace on our creating economy, quick industrialization is an unquestionable requirement. We can utilize more capital and advances.

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Answers

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decomposing materials

Explanation:

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Answers

Answer:

True

Explanation:

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hat causes Greg and Lemon Brown's relationship to change in “The Treasure of Lemon Brown?”

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The first one is builds character and the second one is moves the story forward the

I'll even prove it to ya

Answer:

the first one is builds character and the second one is moving the story forward

Explanation:

have an awesome day everyone

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Answer:

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 A warm pond.

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Answer:

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Answers

Answer:

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Answers

Answer:

due to their good work and their contribution in everything

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China's deeply ingrained traditions and its recent, fast modernization have a particularly strong influence on the culture of today. The differing mindsets between young and old, as well as urban and rural people, demonstrate the stark socioeconomic division that exists today.

There is little doubt that Imperial China had a significant cultural and political impact on East Asia. It gave the neighboring states features of Confucian statecraft, a well-known Confucian religion, and Confucian ideals in family and interpersonal relationships.

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Will give brainliest Question on picture

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The second option is the answer
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Which of the following is probably not an effect of urban sprawl?

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C. increased temperatures in summer months

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A
B
C
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Answers

Answer: B

Explanation:

Answer:

The answer is B ^^

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Answer:it’s b

Explanation:

Your welcome I took the test :)

Answer:b

Explanation:

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Answers

B. Theory of the continental drift

Define Erosion and give an example of where it takes place.

Answers

Answer:

Erosion is the wearing away of an object or substance through an external force. ... The banks of creeks and rivers erode over time as the water moves past it, carrying away sediment and depositing it elsewhere. An example of where a erosion takes place is the Grand Canyon, which was worn away over the course of tens of millions of years by the Colorado River with the help of winds whipping through the formed canyon; the Rocky Mountains in Colorado have also been the subject of intense geological study, with some...

I hope this really helps :)

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Answers

Answer:

Rain and wind will cause granite to break down and form soil over time.

Explanation:

Granite is an igneous rock, and it is one of the hardest rocks for that matter. Being an igneous and very hard rock, granite is not easy to break down and it takes a very long time, tens of millions of years in fact, and that is only if it is on the surface and exposed to the outside elements. Basically, this rock needs a very long period of time to get transformed into soil, but like any other rock it is not unbreakable and eventually, it starts to break up.

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Answers

Answer:

low cost services are one of the primary advantages that you can leverage by outsourcing to India.

Explanation:

my bad if it doesn't help

Answer:

IT jobs

Explanation:

For good pay and working conditions make IT jobs attractive to Indians. It hires someone outside the company to do work that was once done inside the company. many Indians enjoy a high standard of living despite pay that seems low to Americans.
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