The quadrilateral family tree

Name: _____________________ Date: __________

Show your thinking with numbers, words, or a drawing.

1. This shape is a rhombus. A square is a quadrilateral with four equal sides and four right angles. Is every rhombus a square?

1. no

A square is a quadrilateral with four equal sides and four right angles.

A rhombus can lean over, so its corners need not be right angles.

So the answer is no.

2. no

A rhombus is a quadrilateral with four equal sides.

A parallelogram can have two long sides and two short sides.

So the answer is no.

3. no

A square is a quadrilateral with four equal sides and four right angles.

A parallelogram need not have equal sides or right angles.

So the answer is no.

4. yes

A parallelogram is a quadrilateral with two pairs of parallel sides.

A rhombus's opposite sides are parallel, which is all a parallelogram needs.

So the answer is yes.

5. yes

A rectangle is a quadrilateral with four right angles.

A square has four right angles, which is all a rectangle needs.

So the answer is yes.

Choose a question from the printable. Use objects or a drawing to show your thinking, then explain your method to someone at home.