If two triangles are similar by the AA condition, what can you conclude about their corresponding sides?

Prepare for the Geometry CBE Exam with targeted resources. Access interactive quizzes and detailed explanations to master geometric concepts effectively and excel in your test!

Multiple Choice

If two triangles are similar by the AA condition, what can you conclude about their corresponding sides?

Similar triangles have the same shape, so their corresponding sides are in a constant ratio. When two triangles are similar by the AA condition, the angles match in a one-to-one way, which forces every side in one triangle to be a fixed multiple (a scale factor) of the corresponding side in the other. So the lengths of corresponding sides are proportional. They would be congruent only if that scale factor is 1 (meaning the triangles are the same size and shape). The ideas of being supplementary or perpendicular relate to angles, not the proportionality of corresponding sides, so those properties don’t describe the side relationships here.

Similar triangles have the same shape, so their corresponding sides are in a constant ratio. When two triangles are similar by the AA condition, the angles match in a one-to-one way, which forces every side in one triangle to be a fixed multiple (a scale factor) of the corresponding side in the other. So the lengths of corresponding sides are proportional.

They would be congruent only if that scale factor is 1 (meaning the triangles are the same size and shape). The ideas of being supplementary or perpendicular relate to angles, not the proportionality of corresponding sides, so those properties don’t describe the side relationships here.

More practice questions