List statements and proofs that show that PQ is congruent to RS. I will give brainliest to best answer

Given - PS is parallel to QR

angle QPS is congruent to angle SRQ

To prove - PQ is congruent to RS

Solution -

In triangle PSQ and SQR

Angle PSQ = Angle SQR ( Interior Angle form by the parallel lines are equal i.e PQ is parallel to QR)

Angle P = Angle R (given)

SQ = SQ ( common)

PSQ = SQR ( prove above)

By ASA Congruence criteria Triangle PQS is congruent to triangle QRS

By CPCT PS is congruent to RS

Hence, Proved

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

correct answer is b. 27/8

step-by-step explanation: