Question

true or false? every parallelogram is a square. true false every rhombus with four right angles is a square. true false every rectangle is a quadrilateral. true false every quadrilateral is a rectangle. true false

Explanation:

Step1: Recall parallelogram properties

A parallelogram has opposite - sides parallel. A square has all sides equal and all angles equal to 90 degrees. Not all parallelograms have these properties, so "Every parallelogram is a square" is false.

Step2: Recall rhombus and square properties

A rhombus has all sides equal. When it has four right - angles, it satisfies the properties of a square. So "Every rhombus with four right angles is a square" is true.

Step3: Recall rectangle and quadrilateral definitions

A rectangle is a four - sided polygon (quadrilateral) with four right angles. So "Every rectangle is a quadrilateral" is true.

Step4: Recall quadrilateral and rectangle definitions

A quadrilateral is any four - sided polygon. Not all quadrilaterals have four right angles like a rectangle. So "Every quadrilateral is a rectangle" is false.

Answer:

1. False
2. True
3. True
4. False