The following is an incomplete paragraph proving that ∠wrs ≅ ∠vqt given the information in the figure where segment uv is parallel to segment wz.:

I have found a graph for this problem and it showed that segment UV is parallel to segment WZ while angles SQU and VQT are vertical angles. According to the Vertical Angles Theorem, 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. So the answer is ∠ SQU ≅∠ VQT.

B-simple yes/no questions

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.