IXL | Describe relationships among quadrilaterals

Complete the sentence below. You can use this diagram to help you.

Some

trapezoids

are rhombuses, but others are not.

trapezoids

rectangles

squares

ref_doc_title.

Learn with an example

question

Complete the sentence below. You can use this diagram to help you.

Every parallelogram is a

rectangle

trapezoid

rectangle

quadrilateral

key idea

A square is a parallelogram with four congruent sides and four right angles.

A trapezoid is a quadrilateral with exactly one pair of parallel sides.

A rectangle is a parallelogram with four right angles. So, a rectangle has two pairs of parallel sides and four right angles.

A quadrilateral is a polygon with four sides.

solution

Try each answer choice one at a time.

Start with the first answer choice:

red X symbol, Every parallelogram is a trapezoid.

Every parallelogram has two pairs of parallel sides, not one.

So, no parallelograms are trapezoids. The first answer choice is incorrect.

Next, try the second answer choice:

red X symbol, Every parallelogram is a rectangle.

Some parallelograms are not rectangles. For example, this parallelogram does not have any right angles.

So, not every parallelogram is a rectangle. The second answer choice is incorrect.

Last, try the third answer choice:

green checkmark, Every parallelogram is a quadrilateral.

Every parallelogram has four sides.

So, every parallelogram is a quadrilateral. The third answer choice is correct.

You can also answer this question by looking at the diagram. The region for parallelograms is completely inside the region for quadrilaterals. This tells you that every parallelogram is a quadrilateral.

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