Question

all squares are rectangles. *
true
false
all rectangles are squares. *
true
false
all rectangles are parallelograms. *
true
false
all trapezoids are parallelograms. *
true
false
all parallelograms are trapezoids. *
true
false
all kites are parallelograms. *
true
false

Explanation:

1. All squares are rectangles.

A rectangle is defined as a quadrilateral with four right angles. A square has four right angles and four equal sides, so it meets the criteria of a rectangle.

A square requires four equal - length sides and four right angles. A rectangle only requires four right angles; its length and width can be different (e.g., a rectangle with length 5 and width 3 is not a square).

A parallelogram is a quadrilateral with two pairs of parallel sides. A rectangle has two pairs of parallel sides (opposite sides of a rectangle are parallel) and four right angles, so it satisfies the definition of a parallelogram.

Answer:

True

2. All rectangles are squares.