Question

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

Explanation:

1. For "Every quadrilateral is a square."

A quadrilateral is a 4 - sided polygon. Examples of quadrilaterals include trapezoids, parallelograms, etc. A square has 4 equal sides and 4 right angles. Most quadrilaterals do not meet the square's criteria. So the statement is false.

A rectangle is defined as a quadrilateral with 4 right angles. A square has 4 right angles and 4 equal sides. Since a square meets the rectangle's criteria (4 right angles), every square is a rectangle.

A rhombus has 4 equal - length sides but its angles are not necessarily right angles. A rectangle requires 4 right angles. So not every rhombus is a rectangle (e.g., a rhombus with angles of 60° and 120°).

Answer:

False

2. For "Every square is a rectangle."