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6.5. What Is It Called? Pg. 17 Identifying the Quadrilateral. 6.5 – What Is It Called? _ Identifying the Quadrilateral.

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### 6.5

What Is It Called?

Pg. 17

6.5 – What Is It Called? _

In this chapter you have studied many different types of quadrilaterals. Use the properties you have learned to answer the questions in this section. Be careful to not ASSuME anything!

Give the most exact name for the shape.

rhombus

square

kite

trapezoid

parallelogram

rectangle

rhombus

Determine if the following statements are true or false. If false, provide a counterexample.

false

rhombus

• If a quadrilateral is equiangular, then it is equilateral.

false

rectangle

• c. If a quadrilateral is a square, then it is a rectangle.

true

• d. If a quadrilateral is a rectangle, then it is a square

false

Not all sides equal

• e. If the diagonals of a quadrilateral are perpendicular, then it is a rhombus.

false

kite

• f. If the quadrilateral is a rhombus, then its diagonals are perpendicular.

true

• g. If a quadrilateral has one pair of opposite sides parallel, then it is a parallelogram.

false

trapezoid

• h. If a quadrilateral has consecutive sides congruent, then it is a rhombus.

false

kite

Both opposite sides are equal

Both opposite angles are equal

All same-side interior angles are supplementary

y

x

y

x

Diagonals bisect each other

4 equal sides

Diagonals are perpendicular

Diagonals bisect angles

Diagonals are equal

Diagonals are perpendicular

One pair of opposite angles are equal

y

a

x

b

Two consecutive interior angles are supplementary

Both base angles are equal

A B

Diagonals are equal

D C

Use your knowledge of shapes to complete the following Venn Diagrams. Use each shape only once.

1. Both pairs of opposite sides are parallel.

2. Both pairs of opposite sides are congruent

3. Both pairs of opposite angles are congruent

4. Exactly one pair of opposite sides are parallel

5. Exactly one pair of opposite sides are congruent

6. Exactly one pair of opposite angles are congruent

7. Diagonals are congruent

8. Diagonals are perpendicular

• Make a square

• Make a rhombus w/ no right angles

• Make a rectangle

• Make a parallelogram w/ no right angles

• Make a kite

• Make a trapezoid

• Make an isosceles trapezoid

• Make an isosceles triangle

• Make a equilateral triangle