Question

answer attempt 1 out of 2
the quadrilateral is most specifically a rectangle, because
all sides meet at right angles
all sides are congruent
no sides are congruent or parallel
all sides are of equal measure and it is equiangular

Explanation:

Step1: Analyze the quadrilateral's angles

The quadrilateral has four \(90^\circ\) angles, so it's a rectangle (since rectangles have four right angles). Now check the side conditions. The sides are 15, 24, 15, 24 – so opposite sides are congruent, but not all sides.

Step2: Evaluate each option

• "all sides meet at right angles": Correct, as all angles are \(90^\circ\), so sides meet at right angles.
• "all sides are congruent": Incorrect, sides are 15 and 24, not all congruent.
• "no sides are congruent or parallel": Incorrect, opposite sides are congruent and parallel.
• "all sides are of equal measure and it is equiangular": Incorrect, sides are not all equal (15 ≠ 24).

Answer:

The quadrilateral is most specifically a rectangle, because all sides meet at right angles.