Question

1. which of the following statements is false?

all squares are rhombuses.
all kites are rectangles.
all rectangles are parallelograms.
all parallelograms are quadrilaterals.

Explanation:

• A square has 4 equal sides and right angles, which fits the definition of a rhombus (4 equal-length sides), so this statement is true.
• A kite has two pairs of adjacent equal sides but does not have 4 right angles or two pairs of parallel sides, so it is not a rectangle. This statement is false.
• A rectangle has two pairs of parallel sides, which meets the definition of a parallelogram, so this statement is true.
• A parallelogram is a 4-sided polygon, so it is a quadrilateral, making this statement true.

Answer:

C. All kites are rectangles.