Question

Write a two column proof

Answer 1

Explanation:

Given:

TU ≅ WU

∠T ≅ ∠W

To Prove:

`\overline{TS} \cong \overline{WV}`

Proof:

In Δ TUS and Δ WUV

STATEMENT REASON

1. TU ≅ WU 1. Given

2. ∠T ≅ ∠W 2. Given

3.∠TUS ≅ ∠WUV 3. Vertically Opposite Angles are equal

4. ΔTUS ≅ ΔWUV 4. Angle-Side-Angle congruence test.

5. ∴ TS ≅ WV 5. Corresponding parts of congruent triangles.

`\overline{TS} \cong \overline{WV}`.......Proved