Question

the local restaurant website includes restaurant reviews and places customer usernames in rhombuses and their reviews in rectangles. which of the following statements about rhombuses and rectangles is true? both shapes have opposite angles that are supplementary. both shapes have all sides of equal length. all angles in both shapes are equal. both shapes are quadrilaterals.

Explanation:

• "Both shapes have opposite angles that are supplementary": For rectangles, opposite angles are 90°, so 90°+90°=180° (supplementary), but for rhombuses, opposite angles are equal, not supplementary (unless it's a square). This is false.
• "Both shapes have all sides of equal length": Only rhombuses have all sides equal; rectangles have opposite sides equal, not necessarily all sides. This is false.
• "All angles in both shapes are equal": Only rectangles have all angles equal (90°); rhombuses have opposite angles equal, not all angles. This is false.
• "Both shapes are quadrilaterals": A quadrilateral is a 4-sided polygon. Both rhombuses and rectangles have 4 sides, so this is true.

Answer:

Both shapes are quadrilaterals.