Question

quadrilateral abcd has 2 pairs of parallel sides, and perpendicular diagonals. what is the most specific label we can be sure applies to abcd? a parallelogram b rectangle c rhombus d square

Explanation:

Step1: Recall properties of quadrilaterals

A parallelogram has two pairs of parallel sides. A rectangle is a parallelogram with four right angles. A rhombus is a parallelogram with perpendicular diagonals. A square is a parallelogram with four right angles and perpendicular diagonals.

Step2: Analyze given properties

Quadrilateral \(ABCD\) has two pairs of parallel sides (so it is a parallelogram) and perpendicular diagonals. A rhombus is defined as a parallelogram with perpendicular diagonals. A rectangle has diagonals that are equal in length (not necessarily perpendicular unless it is a square). A square has both perpendicular diagonals and four right angles (which is not mentioned here).

Answer:

C. rhombus