Question

If ∆ABC ≅ ∆XYZ, what are the six pairs of corresponding congruent parts?

Answer 1

When two triangles are congruent, their corresponding sides and angles are equal. In the case of ∆ABC and ∆XYZ, the six pairs of corresponding congruent parts are: AB = XY, BC = YZ, AC = XZ, ∠A = ∠X, ∠B = ∠Y, and ∠C = ∠Z.

Step-by-step explanation:

When two triangles are congruent, it means that their corresponding sides and angles are equal.

In the case of ΔABC and ΔXYZ, the six pairs of corresponding congruent parts are:

• AB = XY: The corresponding sides AB and XY are equal in length.
• BC = YZ: The corresponding sides BC and YZ are equal in length.
• AC = XZ: The corresponding sides AC and XZ are equal in length.
• ∠A = ∠X: The corresponding angles A and X are equal in measure.
• ∠B = ∠Y: The corresponding angles B and Y are equal in measure.
• ∠C = ∠Z: The corresponding angles C and Z are equal in measure.