Question

2. Which statement is true?

A) all quadrilaterals are rectangles
B) all quadrilaterals are squares
C) all rectangles are quadrilaterals
D) all rectangles are parallelograms

Answer 1

Answer:

True statements are:

C) All rectangles are quadrilaterals.

D) All rectangles are parallelograms.

Step-by-step explanation:

Quadrilateral is a shape with four sides, not necessarily equal.

Rectangle is a quadrilateral (that has four sides) and also the opposite sides are of equal length.

So, All rectangles are quadrilaterals but all quadrilaterals cannot be rectangles.

Parallelogram is quadrilateral with opposite sides equal and parallel, but angles not necessarily at right angles.

All rectangles are parallelograms with opposite sides equal and parallel and also form a right angle with adjacent sides.

Note:

All Squares, all Rectangles and all Parallelograms are Quadrilaterals.