Question

The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT given the information in the figure where segment UV is parallel to segment WZ.:
Segments UV and WZ are parallel with line ST intersecting both at points Q and R respectively

According to the given information, segment UV is parallel to segment 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 Postulate. Finally, angle VQT is congruent to angle WRS by the _____________________.

Which Property of Equality accurately completes the proof?

Reflexive

Substitution

Subtraction

Transitive

Answer 1

the answer is transitive

Answer 2

We are given a line of thought trying to prove different entities proven to be congruent by different argument or proof. Evenutally, the two are associated using a property called transitivity. This property is used to associate A and C when A is equal to B and B is equal to C