Question

Answer number 13 please

Answer 1

ΔXYP ≅ ΔZYP by SSS similarity congruence theorem.

Solution:

Given data:

$\overline{XZ} \perp \overline{WY}$ and $\overline{X Y} \cong \overline{Z Y}$

To prove $\triangle X Y P \cong \triangle Z Y P$:

In ΔXYP and ΔZYP,

$\overline {XP} \cong \overline {PZ}$ (given side)

$\overline{X Y} \cong \overline{Z Y}$ (given side)

$\overline{P Y} \cong \overline{P Y}$ (reflexive property)

Therefore ΔXYP ≅ ΔZYP by SSS similarity congruence theorem.

Hence proved.