Question

five quadrilaterals, labeled a through e, are shown below. which of these quadrilaterals are counterexamples to the conditional statement below? choose all that apply. if a quadrilateral has a right angle, then it is a square.

Explanation:

Step1: Recall square properties

A square has 4 right - angles and 4 equal sides.

Step2: Analyze each quadrilateral

• Quadrilateral A is a square, so it is not a counter - example.
• Quadrilateral B has a right - angle but is not a square as all sides are not equal and it doesn't have 4 right - angles.
• Quadrilateral C has a right - angle but is not a square as it doesn't have 4 right - angles and 4 equal sides.
• Quadrilateral D has 4 right - angles but is a rectangle (not all sides are equal), so it is not a square.
• Quadrilateral E has no right - angles, so it is not relevant as a counter - example to the given statement.

Answer:

B. Option B, C. Option C, D. Option D