Question

compare the triangles and determine whether they can be proven congruent, if possible, by sss, sas, asa, aas, or hl.
fill in the blank 1 point
congruent: choose your answer...
congruent rule: choose your answer...

Explanation:

Step1: Recall triangle congruence rules

• AAS (Angle - Angle - Side): If two angles and a non - included side of one triangle are equal to the corresponding two angles and non - included side of another triangle, the triangles are congruent.
• ASA (Angle - Side - Angle): If two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle, the triangles are congruent.
• SAS (Side - Angle - Side): If two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle, the triangles are congruent.
• SSS (Side - Side - Side): If three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.
• HL (Hypotenuse - Leg): For right - angled triangles, if the hypotenuse and a leg of one right - angled triangle are equal to the hypotenuse and a leg of another right - angled triangle, the triangles are congruent.

Step2: Analyze the given triangles

From the figure, we can see that there are two angles and a non - included side (AAS) that are equal for the two triangles.

Answer:

Congruent: yes; Congruent Rule: AAS