Question

In triangle QRS ≅ triangle XYZ, which pairs of sides and angles are congruent?

a) QR and YZ, ∠Q and ∠Y
b) RS and XZ, ∠R and ∠X
c) QS and XZ, ∠S and ∠X
d) QR and XY, ∠Q and ∠X

Answer 1

The correct pairs of congruent sides and angles given that triangle QRS is congruent to triangle XYZ are QR and XY, and Angle Q and Angle X, thus the answer is (d).

Step-by-step explanation:

When we are given that triangle QRS ≅ triangle XYZ, it means that the two triangles are congruent; that is, they have the same size and shape. By the Correspondence of Congruent Triangles, we can match each side and angle of triangle QRS with its counterpart in triangle XYZ.

So, the correct pairs of congruent sides and angles are:

• QR is congruent to XY
• RS is congruent to YZ
• QS is congruent to XZ
• Angle Q is congruent to Angle X
• Angle R is congruent to Angle Y
• Angle S is congruent to Angle Z

Therefore, the correct answer is (d) QR and XY, ∠Q and ∠X.