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The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where :

According to the given information, is parallel to while angles SQU and VQT are vertical angles. ________________ by the Vertical Angles Theorem. Because angles SQU and WRS are corresponding angles, they are congruent according to the Corresponding Angles Postulate. Finally, angle VQT is congruent to angle WRS by the Transitive Property of Equality.

Which phrase accurately completes the proof?
∠SQU ≅ ∠VQT
∠SQU ≅ ∠WRS
∠WRS ≅ ∠VQT
∠WRS ≅ ∠ZRT

The congruency is the triangles is determined by the angles in he sides. This involves the measuring of the lengths of the subsequent sides and the angles. For two angles to be congruent, several factors must be satisfied:

Both lines must be on the same base - this is true for right-angled triangles
The triangles should have lines that are expressed as a constant ratio.

This means that the areas of the triangles by ratio must be constant. Thus, as one triangle can be scaled, then the triangles and angles are congruent.