Question

the following is an incomplete paragraph proving that ∠wrs≅∠vqt, given the information in the figure where (overline{uv}paralleloverline{wz}):
according to the given information, (overline{uv}) is parallel to (overline{wz}), while angles squ and vqt are vertical angles. angle vqt is congruent to angle squ by the vertical angles theorem. because angles squ and wrs are corresponding angles, they are congruent according to the corresponding angles theorem. finally, angle vqt is congruent to angle wrs by the _____ property.
which property of equality accurately completes the proof?
reflexive
substitution
subtraction
transitive

Explanation:

We know that ∠VQT≅∠SQU (vertical - angles theorem) and ∠SQU≅∠WRS (corresponding - angles theorem for parallel lines). The transitive property of equality states that if a = b and b = c, then a = c. Here, since ∠VQT≅∠SQU and ∠SQU≅∠WRS, we can conclude ∠VQT≅∠WRS using the transitive property.

Answer:

D. Transitive