Question

Moris drew two triangles; triangle ABC and triangle PQR, on a coordinate grid. The coordinates of the vertices of triangle PQR are P(-3, -2), Q(-3, -4), and R(-1, -4). The coordinates of the vertices of triangle ABC are A(-3, 4), B(-1, 4), C(-3, 2).

Which postulate can be used to prove that the two triangles are congruent?

Answer 1

SAS, because Measure of angle PQR is equal to measure of angle ABC is equal to 90 degrees, AB is equal to PQ is equal to 4, BC is equal to QR is equal to 6.

AAA, because Measure of angle PQR is equal to measure of angle ABC , measure of angle QPR is equal to measure of angle BAC , measure of angle PRQ is equal to measure of angle ACB.

ASA, because Measure of angle RPQ is equal to measure of angle ABC, measure of angle PQR is equal to measure of angle ACB, and PR is equal to AB is equal to sqrt (13).

SSS, because Length of segment AB, PQ, AC, and QR is equal to 2, and the length of segment BC is equal to the length of segment PR, both being equal to square root of 8 is equal to 2 multiplied by the square root of 2.

Answer 2

hint-
if you're given coordinates, its easy to calculate the length of SIDES

Answer 3

so is it SSS, because Length of segment AB, PQ, AC, and QR is equal to 2, and the length of segment BC is equal to the length of segment PR, both being equal to square root of 8 is equal to 2 multiplied by the square root of 2. ?