Question

Provide reasons for the proof of the triangle proportionality theorem.

Answer 1

Explanation:

1. Given

2. Corresponding angles are congruent.

3. Triangle JKL is similar to triangle JMN

3. AA similarity.

4. Corresponding sides of similar triangles are in proportion.

5. segment addition postulate

6. Substitute 5 into 4.

9. Subtraction property of equality

Explanation:

Answer 2

Explanation:

1. Given

2. Corresponding angles are congruent.

3. Triangle JKL is similar to triangle JMN

3. AA similarity.

4. Corresponding sides of similar triangles are in proportion.

5. segment addition postulate

6. Substitute 5 into 4.