Question

Write a two column proof

Answer 1

Answer:

Step-by-step 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