Question

a. all quadrilaterals are squares. b. all rectangles are parallelograms. c. all quadrilaterals are rectangles. d. all parallelograms are rectangles. 1 = 170. what are m∠2

Explanation:

• Option A: False, as quadrilaterals include shapes like trapezoids, rectangles, and parallelograms that are not squares.
• Option B: True, because rectangles satisfy all properties of parallelograms (opposite sides parallel and equal, opposite angles equal) plus four right angles.
• Option C: False, since many quadrilaterals (e.g., trapezoids, rhombuses) are not rectangles.
• Option D: False, as parallelograms can have non-right angles (e.g., rhombuses), so not all are rectangles.

Answer:

B. All rectangles are parallelograms.