Melissa drew two triangles; triangle ABC and triangle PQR, on a coordinate grid. The coordinates of the vertices of triangle PQR are P(3, 3), Q(3, -1), and R(9, -1). The coordinates of the vertices of triangle ABC are A(2, 9), B(2, 5), C(8, 5).

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

Question

Melissa drew two triangles; triangle ABC and triangle PQR, on a coordinate grid. The coordinates of the vertices of triangle PQR are P(3, 3), Q(3, -1), and R(9, -1). The coordinates of the vertices of triangle ABC are A(2, 9), B(2, 5), C(8, 5).
 
Which postulate can be used to prove that the two triangles are congruent?

zeesbrat3 · Answer

SAS, because Measure of angle PQR is equal to measure of angle ABC is equal to 90, 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 is equal to 90, measure of angle QPR is equal to measure of angle BAC is equal to 45, measure of angle PRQ is equal to measure of angle ACB is equal to 45.

SSS, because AB is equal to PQ is equal to 4, BC is equal to QR is equal to 6, AC is equal to PR is equal to 6.

SSA, because Measure of angle PQR is equal to measure of angle ABC is equal to 90, AC is equal to PR is equal to sqrt (52) units, BC is equal to QR is equal to 6.