Question

identify which property will prove these triangles congruent. asa sss aas hl sas

Explanation:

Step1: Recall congruence postulates

ASA (Angle - Side - Angle) means two angles and the included side are equal. SSS (Side - Side - Side) means all three sides are equal. AAS (Angle - Angle - Side) means two angles and a non - included side are equal. HL (Hypotenuse - Leg) is for right - triangles where hypotenuse and one leg are equal. SAS (Side - Angle - Side) means two sides and the included angle are equal.

Step2: Analyze the triangle situation

If we assume the vertical line is a perpendicular bisector of the base of the large triangle, we have two right - triangles formed. The vertical line is common (one side equal), the right - angles are equal, and the two segments of the base are equal (another side equal). This is a case of SAS as we have two sides and the included right - angle equal.

Answer:

E. SAS