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Carl wants to prove that if a line is parallel to one side of a triangle, then it divides the other two sides

proportionally.

Select the appropriate rephrased statement for Carl’s proof.

Choose 1 answer:

A.) In UVW, if XY || then UX/XV= UY/ YW.

B.) In UVW, if UX/XV=UY/YW, then XY || VW.

C.) In UVW, if XY || VW, then UX/XV= XY/WV.

D.) In UVW, if UX/XV = XY/WV, then XY || VW.

Question

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Respuesta :

ckennedy5868 ckennedy5868 · Answer 1 · 2021-05-20T18:58:05+02:00

Answer:

A. is the appropriate answer to carl's proof

Answer Link

jainveenamrata jainveenamrata · Answer 2 · 2022-08-16T13:03:45+02:00

In UVW, if XY || VW then UX/XV= UY/ YW. Then the correct option is A.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Carl wants to prove that if a line is parallel to one side of a triangle, then it divides the other two sides proportionally.

We know that if two triangles are similar, then the ratio of the corresponding sides will remain constant.

Let the triangle UVW and XY is parallel to the side VW.

Then the triangle UVW and UXY will be similar triangle.

Then the ratio of their corresponding sides will be

UX / XV = UY / YW

In UVW, if XY || VW then UX/XV= UY/ YW.

Then the correct option is A.

More about the triangle link is given below.

https://brainly.com/question/25813512

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