Question

problem 5: lesson 36) complete this sentence with the best of the choices given. according to the ________ shortcut, two triangles are congruent if all three of their corresponding sides are congruent. a b c d e side - angle - side

Explanation:

Step1: Recall triangle congruence rules

There are several rules for triangle congruence such as SAS (Side - Angle - Side), SSS (Side - Side - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side) and HL (Hypotenuse - Leg) for right - angled triangles.

Step2: Identify rule for side - side - side

The SSS rule states that if the three sides of one triangle are equal in length to the three corresponding sides of another triangle, then the two triangles are congruent. This matches the description in the problem statement.

Answer:

None of the options are shown completely. But the correct answer for the statement "According to the shortcut, two triangles are congruent if all three of their corresponding sides are congruent" is Side - Side - Side (SSS). If we assume the options are:
A. Side - Angle - Side
B. Side - Side - Side
C. Angle - Side - Angle
D. Angle - Angle - Side
E. Hypotenuse - Leg
The answer is B. Side - Side - Side.