Question

1. which of the following statements is false?

all squares are rhombuses.
all rhombuses are parallelograms
all quadrilaterals are trapezoids

Explanation:

Step1: Analyze the properties of squares and rhombuses

A square has all sides equal and all angles equal to \(90^{\circ}\). A rhombus has all sides equal. Since a square satisfies the property of a rhombus (all - sides - equal), all squares are rhombuses.

Step2: Analyze the properties of rhombuses and parallelograms

A rhombus has opposite sides parallel. A parallelogram is defined as a quadrilateral with opposite sides parallel. So, all rhombuses are parallelograms.

Step3: Analyze the properties of quadrilaterals and trapezoids

A trapezoid is a quadrilateral with at least one pair of parallel sides. A quadrilateral like a kite (in a non - isosceles and non - parallelogram case) has no parallel sides. So, not all quadrilaterals are trapezoids.

Answer:

All quadrilaterals are trapezoids