Question

the following is an incomplete paragraph proving that ∠wrs ≅ ∠vqt, given the information in the figure where (overline{uv} parallel overline{wz}).

according to the given information, (overline{uv}) is parallel to (overline{wz}), while 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

Explanation:

We know $\angle VQT \cong \angle SQU$ (Vertical Angles Theorem) and $\angle SQU \cong \angle WRS$ (Corresponding Angles Theorem). To conclude $\angle VQT \cong \angle WRS$, we replace $\angle SQU$ with $\angle VQT$ in the second congruence, which uses the Substitution Property of equality/congruence.

Answer:

Substitution