two triangles
Use the triangles.
Name one pair of congruent angles.
A. ∠PQR and ∠VST
B. ∠PRQ and ∠SVT
C. ∠RQP and ∠TVS
D. ∠QPR and ∠STV
Unfortunately this cannot be answered without seeing/describing each triangle.
To determine the pair of congruent angles, we need more information about the triangles.
To determine which pair of angles are congruent, we need to compare the triangles and identify any pairs of angles that have the same measurement. To do this, we can use the congruence postulate, which states that corresponding parts of congruent triangles are congruent.
In this case, we have two triangles, which we can denote as Triangle PQR and Triangle VST. We need to find the angles in each triangle that correspond to each other.
Looking at the answer choices:
A. ∠PQR and ∠VST
B. ∠PRQ and ∠SVT
C. ∠RQP and ∠TVS
D. ∠QPR and ∠STV
To determine the correct answer, we need to compare the angles in Triangle PQR with the angles in Triangle VST. We need to see if the angles have the same measurement.
From the answer choices, we can immediately eliminate options A and C because they have different angle letters (e.g., PQR and VST) and therefore cannot be corresponding angles.
Now we are left with options B and D. To verify which one is correct, we can compare the angles in each triangle.
In Triangle PQR, ∠PRQ is adjacent to side QR, while in Triangle VST, ∠SVT is adjacent to side VT. Since corresponding angles are the angles that correspond to each other in congruent triangles, we can conclude that:
∠PRQ corresponds to ∠SVT
Therefore, the correct answer is:
B. ∠PRQ and ∠SVT