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 are quadrilaterals. both shapes have opposite angles that are supplementary. both shapes have all sides of equal length. all angles in both shapes are equal.

Explanation:

1. Analyze Option 1: A quadrilateral is a 4-sided polygon. Rhombuses have 4 sides, rectangles have 4 sides, so both are quadrilaterals.
2. Analyze Option 2: Opposite angles in both shapes are congruent (equal), not supplementary (adding to 180°). Supplementary angles describe adjacent angles in these shapes, not opposite ones.
3. Analyze Option 3: Only rhombuses have all sides equal; rectangles have 2 pairs of equal sides (length and width) that are not necessarily the same.
4. Analyze Option 4: Only rectangles have all angles equal (all 90°); rhombuses have 2 pairs of equal angles that are not necessarily 90°.

Answer:

Both shapes are quadrilaterals.