Question

brayden is working on a report in which he will compare and contrast the different types of quadrilaterals. which statement should not be included in his report? all rhombuses are squares. all squares and rectangles have opposite sides that are congruent. all squares are parallelograms. all parallelograms, rectangles, and squares have opposite angles that are congruent.

Explanation:

To determine which statement should not be included, we analyze each option based on the definitions of quadrilaterals:

• A rhombus has four equal - length sides, but its angles are not necessarily right angles. A square has four equal - length sides and four right angles. So, not all rhombuses are squares.
• Squares and rectangles are both parallelograms (a quadrilateral with opposite sides parallel). In a parallelogram, opposite sides are congruent, so this statement is true.
• A square has two pairs of parallel sides, which fits the definition of a parallelogram (a quadrilateral with two pairs of parallel sides), so this statement is true.
• Parallelograms have opposite angles congruent. Rectangles (a type of parallelogram with right angles) and squares (a type of rectangle with equal - length sides) also have opposite angles congruent, so this statement is true.

Answer:

A. All rhombuses are squares