Question

Pleaseeee helpppp...

Answer 1

The Proof is given below.

Explanation:

Given:

1.
`\overline{ZW}\ ||\ \overline{YX}`

2.
`\overline{ZW} \cong \overline{YX}`

To Prove:

Δ XYZ ≅ Δ ZWX

Proof:

`\overline{ZW}\ ||\ \overline{YX}`.........{given}

∴ ∠ WZX ≅ ∠YXZ ...{if lines are parallel then alternate angles are equal}..( 1 )

Now, In Δ XYZ and Δ ZWX

XY ≅ ZW ……….{Given}

∠ YXZ ≅ ∠ WZX ..……..{ Alternate Angles Property or From ( 1 )}

XZ ≅ ZX ……….{Reflexive Property}

∴ Δ XYZ ≅ Δ ZWX ….......{By Side-Angle-Side test}

..Proved