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

Explanation:

Step1: Analyze the properties of rhombus and rectangle

• A rhombus has all sides equal, opposite angles equal, and is a quadrilateral.
• A rectangle has opposite sides equal, all angles equal (90 degrees), and is a quadrilateral.

Step2: Check each option

• Option 1: In a rhombus, opposite angles are equal, not all angles (unless it is a square). So, this is false.
• Option 2: In a rectangle, opposite sides are equal, not all sides. So, this is false.
• Option 3: A rhombus and a rectangle both have 4 sides. By definition, a quadrilateral is a 4 - sided polygon. So, this is true.
• Option 4: In a rhombus, opposite angles are equal. In a rectangle, all angles are 90 degrees (adjacent angles are supplementary, but opposite angles are equal). So, this is false.

Answer:

Both shapes are quadrilaterals.