which two triangles are congruent by the aas theorem? complete the congruence statement.
which two triangles are congruent by the aas theorem? complete the congruence statement.
Answer
Explanation:
Step1: Recall AAS theorem
AAS (Angle - Angle - Side) theorem states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, the two triangles are congruent.
Step2: Identify congruent parts
In (\triangle STU) and (\triangle WXY), we have (\angle S\cong\angle W), (\angle T\cong\angle Y), and side (UT\cong) side (XY) (the non - included sides with respect to the given pairs of angles).
Answer:
(\triangle STU\cong\triangle WXY)