Question

Use the image to answer the question.

2 right triangles are drawn in a coordinate plane where the axes are unlabeled. 1 of the triangles is made up of points upper A, upper B, and upper C, while the other is made up of points upper A prime, upper B prime, and upper C prime.

Triangles ABC
and A′B′C′
both have a 90-degree angle at points B
and B′
; given this information and the image displayed, which criterion proves that the triangles are similar? Enter the number of the correct option.

Option #1: SAS because there are two given sides and an included angle measure of 90 degrees

Option #2: AA because all angles of similar triangles are similar as well

Option #3: SSS because the two given side lengths are proportional

(1 point)

Answer 1

2

Both triangles are right triangles (one angle each is 90°) and they share a corresponding acute angle, so two angles are congruent → AA similarity.