Question

1. which of the following is enough to prove a rhombus? a. congruent sides b. opposite angles complementary c. one pair of parallel sides. d. opposite angles sum to 180°

Explanation:

Step1: Recall rhombus properties

A rhombus is a parallelogram with all - sides congruent.

Step2: Analyze each option

• Option A: A quadrilateral with congruent sides is a rhombus. This is the definition - based property.
• Option B: In a rhombus, opposite angles are equal, not complementary. Complementary angles add up to 90°.
• Option C: A trapezoid has one pair of parallel sides, but it is not a rhombus. A rhombus is a parallelogram (has two pairs of parallel sides).
• Option D: In a rhombus, opposite angles are equal. In a cyclic quadrilateral (or a parallelogram with supplementary opposite angles), opposite angles sum to 180°, but this is not a defining property of a rhombus.

Answer:

A. Congruent sides