Question

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

Explanation:

1. A quadrilateral is any 4-sided shape (e.g., trapezoid, parallelogram), not just squares.
2. Parallelograms only need opposite sides parallel; they don't require right angles (e.g., rhombus).
3. Rectangles have 2 pairs of parallel sides, satisfying parallelogram criteria.
4. A rhombus with 4 right angles has all sides equal and all angles 90°, which defines a square.

Answer:

1. Every quadrilateral is a square.: False
2. Every parallelogram is a rectangle.: False
3. Every rectangle is a parallelogram.: True
4. Every rhombus with four right angles is a square.: True