Question

1. which of the following statements is false?

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

Explanation:

Step1: Analyze the properties of a square and a rectangle

A square has four right angles and four equal sides. A rectangle has four right angles. Since a square meets the criteria of a rectangle (four right angles), all squares are rectangles.

Step2: Analyze the properties of a rhombus and a square

A rhombus has four equal sides but its angles are not necessarily right angles. A square has four equal sides and four right angles. So, not all rhombuses are squares (only when a rhombus has right angles is it a square).

Step3: Analyze the properties of a parallelogram and a quadrilateral

A parallelogram has four sides. A quadrilateral is a four - sided figure. So, all parallelograms are quadrilaterals.

Answer:

All rhombuses are squares.