Question

triangle TUV and triangle SWX are drawn below. if TV congruent SX, angle V congruent angle X and angle U congruent angle W, use dropdown boxes below to determine a sequence of two transformations that maps traingle TUV onto triangle SwX. then use a congruence statement to explain why this is possible

Answer 1

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

By this postulate, those two triangles are congruents.

We can get SWX from TUV first by a reflection on the segment VU, and then a translation to the position of SWX.