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.