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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.

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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 s class=

Respuesta :

We have proven that line TU is parallel to line VW as shown below. That is, TU || VW

Proof of angles

From the question, we are to prove that TU || VW

In the given image,

   Statements           Reasons

1. ST || UV                  Given

2. ∠T ≅ ∠U                Alternate angles

3. ∠T ≅ ∠V                Given

4. ∠U≅ ∠V                 Substitution property

5. TU || VW                 Alternate interior angles theorem

NOTE: If the alternate interior angles formed by a transversal of two lines are equal, then the lines are parallel

Hence, we have proven that line TU is parallel to line VW. That is, TU || VW

Learn more on Proof of angles here: https://brainly.com/question/2141319

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