Question

which of the following statements are true about rectangles? select all that apply. opposite sides are parallel. they must have four equal sides. they must have four right angles. they are quadrilaterals.

Explanation:

Step1: Analyze "Opposite sides are parallel"

A rectangle is a type of parallelogram, and in a parallelogram, opposite sides are parallel. So this statement is true.

Step2: Analyze "They must have four equal sides"

A rectangle has opposite sides equal, but a square (a special rectangle) has four equal sides. A general rectangle (non - square) has length and width of different lengths. So this statement is false.

Step3: Analyze "They must have four right angles"

By definition, a rectangle is a quadrilateral with four right angles. So this statement is true.

Step4: Analyze "They are quadrilaterals"

A quadrilateral is a four - sided polygon. A rectangle has four sides, so it is a quadrilateral. This statement is true.

Answer:

• Opposite sides are parallel.
• They must have four right angles.
• They are quadrilaterals.