Question

1. Using the information that ∆XYZ ~ ∆PDQ, list 4 similarity statements that can be made.

(Hint: what angles are congruent and which sides are proportional. There are more than 4 – just give 4.)

Answer 1

see the explanation

Explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

Corresponding sides are

XY and PD

YZ and DQ

XZ and PQ

so

`(XY)/(PD)=(YZ)/(DQ)=(XZ)/(PQ)`

Corresponding angles are

∠X and ∠P

∠Y and ∠D

∠Z and ∠Q

so

∠X ≅ ∠P

∠Y ≅ ∠D

∠Z ≅ ∠Q