High School

Given: ∠T ≅ ∠V; ST || UV
Prove: TU || VW

Complete the two-column proof.

1. ∠T ≅ ∠V
**Reason:** Given

2. ST || UV
**Reason:** Given

3. ∠STU ≅ ∠VUW
**Reason:** Corresponding angles are congruent when lines are parallel

4. TU || VW
**Reason:** If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel

Answer :

Answer:

Given: ∠T ≅ ∠V; ST || UV

Prove: TU || VW

4 connected lines are shown. A line from point S goes slightly down and to the left to point T to form S T. A line from point T goes slightly down and to the right to point U to form T U. A line from point U goes slightly down and to the left to point V to form U T. A line goes slightly down and to the right to point W to form point W.

Complete the two-column proof.

♣ =

✔ alternate interior angles theorem

♦ =

✔ transitive property

♠ =

✔ converse alternate interior angles theorem

Step-by-step explanation:

The respective missing proofs are; Alternate interior; Transitive property; Converse alternate interior angles theore

How to complete two column proof?

We are given that;

∠T ≅ ∠V and ST || UV

From images seen online, the first missing proof is Alternate Interior angles because they are formed when a transversal intersects two coplanar lines.

The second missing proof is Transitive property because angles are congruent to the same angle.

The last missing proof is Converse alternate interior angles theorem

because two lines are intersected by a transversal forming congruent alternate interior angles, then the lines are parallel.

Read more about Two Column Proof at; https://brainly.com/question/1788884

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