Question

13 which of the following statements is false?
all parallelograms are quadrilaterals
all rectangles are parallelograms
all squares are rhombuses
all kites are rectangles

Explanation:

• A parallelogram is a four - sided figure (quadrilateral) with opposite sides parallel. So, all parallelograms are quadrilaterals.
• A rectangle has opposite sides parallel and equal, so all rectangles are parallelograms.
• A square has all sides equal and opposite sides parallel (like a rhombus), so all squares are rhombuses.
• A kite has two pairs of adjacent sides equal. A rectangle has four right angles and opposite sides equal. Kites do not have to have four right angles. So, not all kites are rectangles.

Answer:

All kites are rectangles.