QuestionCan you conclude that these triangles are congruent? yes no
Studdy Solution
STEP 1
1. Triangles △ABC and △GFH are given.
2. Each pair of corresponding angles in the triangles is congruent.
STEP 2
1. Recall the Angle-Angle-Angle (AAA) criterion for triangle similarity.
2. Determine if AAA implies congruence.
3. Conclude if the triangles are congruent.
STEP 3
Recall the Angle-Angle-Angle (AAA) criterion for triangle similarity:
The AAA criterion states that if all three pairs of corresponding angles in two triangles are congruent, then the triangles are similar.
STEP 4
Determine if AAA implies congruence:
The AAA criterion only implies similarity, not congruence. For triangles to be congruent, they must be similar and have corresponding sides of equal length.
STEP 5
Conclude if the triangles are congruent:
Since AAA only establishes similarity and not congruence, we cannot conclude that the triangles are congruent based solely on angle congruence.
The conclusion is:
Was this helpful?
