Given: triangle svx = triangle utx and sv || tu prove: vuts is a parallelogram. complete the two column proof.

UVTS is a parallelogram because opposite sides are equal and parallel.

Further explanation:

Given:

It is given that the side triangles are congruent.

The two sides are parallel.

Explanation:

Two-column proof is used to proof the statements in which we can use theorem and the definitions.

If the opposite sides are equal and parallel of a quadrilateral then it is a parallelogram.

1.

2. and it is given.

3. and the reason is that the corresponding parts of congruent triangles are equal.

4. VUTS is a parallelogram and the reason is that a pair of opposite sides is equal.

and implies that the opposite sides are equal and parallel. Therefore, UVTS is a parallelogram.

UVTS is a parallelogram because opposite sides are equal and parallel.

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Triangles

Keywords: triangle, two column proof, congruent, congruent triangles, parallelogram, UVTS, alternate angles, equal sides, equal angles, given, line, SV, TU, SVX, UTX, opposite sides are equal, opposite sides are parallel.

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