Question

The table contains the proof of the relationship between the slopes of two perpendicular lines. What is the reason for statement 2?

Answer 1

The triangles ABC and CED are similar
⇒AB/EC=BC/DE=AC/CD
The reason is the last one:
Corresponding side lengths in similar triangles are proportional in lengh.

Answer 2

Answer :- Corresponding side lengths in similar triangle are proportional in length.

Explanation:-

The property of two similar triangles are:

• Corresponding angles are congruent.

• Corresponding side lengths in similar triangle are proportional in length.

Given :- ΔABC is similar to ΔCED

then
`(AB)/(BC)=(BC)/(DE)` [Corresponding side lengths in similar triangle are proportional in length.]

Thus the reason for statement 2 is Corresponding side lengths in similar triangle are proportional in length.