Question

what minimum information is sufficient to determine congruency for each of the following? a) two rectangles b) two convex kites c) two isosceles triangles a) what minimum information is sufficient to determine congruency for two rectangles? a. two pairs of adjacent corresponding angles congruent b. two pairs of corresponding sides congruent c. two pairs of adjacent corresponding sides congruent d. four pairs of corresponding angles congruent

Explanation:

Step1: Recall rectangle properties

Rectangles have all angles equal to 90 degrees. So, angle - congruence is always there for rectangles. To prove two rectangles congruent, we need side - congruence.

Step2: Analyze side - congruence for rectangles

For two rectangles, if two pairs of adjacent corresponding sides are congruent, then by the Side - Side - Side (SSS) or Side - Angle - Side (SAS) congruence postulates (since angles are right - angles), the rectangles are congruent.

Answer:

C. Two pairs of adjacent corresponding sides congruent