Answer:
see the explanation
Step-by-step 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
[tex]\frac{XY}{PD}=\frac{YZ}{DQ}=\frac{XZ}{PQ}[/tex]
Corresponding angles are
∠X and ∠P
∠Y and ∠D
∠Z and ∠Q
so
∠X ≅ ∠P
∠Y ≅ ∠D
∠Z ≅ ∠Q