Question

Which is a logical conclusion based on the given information?

A. Figure ABCD is a rhombus by the definition of a rhombus.
B. Segment AC is congruent to segment DC by CPCTC.
C. Angle ACB is congruent to angle ADC by the Angle-Side-Angle Theorem.
D. Triangle ACD is congruent to triangle CAB by the Hypotenuse-Leg Theorem.

Answer 1

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Explanation:

Answer 2

D. Triangle ACD is congruent to triangle CAB by the Hypotenuse-Leg Theorem.

Explanation:

The Hypotenuse leg theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent. The hypotenuse is AC for both triangles so it is the same. We are given AB = CD so ACD is congruent to CAB