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# 1. Use the figure to answer the questions.

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1. Use the figure to answer the questions.

a. Explain why the triangles are similar.

b. Find the value of y. Show your work.

2.Provide reasons for the proof of the triangle proportionality theorem.

Given: Line segment KL

Prove: KM/JK = LN/JL

Statement

Reason

1. Line segment KL box line segment MN

1. Given

2.

2.

3. box JKL two boxes JMN

3.

4. JM/JK = JN/JL

4.

5. JM = JK + KM and JN = JL + LN

5.

6. JK + KM/ JK = JL + LN/JL

6.

7. JK/JK + KM/JK = JL/JL + LN/JL

7. Rewrite as a sum.

8. 1 + KM/JK = 1 + LN/JL

8. Simplify.

9. KM/JK = LN/JL

9.

3. In the figure, k > 0.

a. Prove that box ABC two boxes PQR .

b. How does the area of box PQR compare to the area of box ABC? Explain.

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For the first one you can state that the 2 angles are the same

Then that the ratios of the given sides are the same and they are both adjacent to the congruent angles.

So they are similar.  [You need to expand on these reasons]

y/30 = 14/16   etc

Melody  Jun 10, 2017
edited by Melody  Jun 10, 2017

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