Question

Complete the pairs of corresponding parts if △ RST ≅ △ TXY.

∠ R =
∠ XYT
∠ XTY
∠ TXY

Answer 1

To complete the pairs of corresponding parts of congruent triangles, use the fact that congruent triangles have corresponding angles with the same measure.

Step-by-step explanation:

To complete the pairs of corresponding parts, we need to determine the angles in the congruent triangles △RST and △TXY. Since the triangles are congruent, the corresponding angles will have the same measure.

• ∠R = ∠XYT
• ∠S = ∠YT
• ∠T = ∠TX

In other words, the angle R in triangle RST corresponds to the angle XYT in triangle TXY. Similarly, the angle S corresponds to angle YT, and the angle T corresponds to angle TX.

Answer 2

So, two triangles are similar. Ordering of letters matters when you are writing this down. So, RST~TXY, then ∠R = ∠T, or ∠TRS = ∠YTX = ∠XTY