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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

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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!

6.24 – NAME THE SHAPE

Give the most exact name for the shape.

rhombus

square

kite

parallelogram

trapezoid

parallelogram

square

rectangle

rhombus

6.25 – TRUE OR FALSE?

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

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

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 parallel

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

Rhombus:

4 equal sides

Diagonals are perpendicular

Diagonals bisect angles

4 right angles

Diagonals are equal

4 right angles and 4 = sides

Consecutive sides are =

Diagonals are perpendicular

One pair of opposite angles are equal

One pair of opposite sides parallel

y

a

x

b

Two consecutive interior angles are supplementary

One opposite side is equal

Both base angles are equal

AB

Diagonals are equal

D C

6.26 – VENN DIAGRAMS

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

Mark which shapes have the following properties.

1. Both pairs of opposite sides are parallel.

Mark which shapes have the following properties.

2. Both pairs of opposite sides are congruent

Mark which shapes have the following properties.

3. Both pairs of opposite angles are congruent

Mark which shapes have the following properties.

4. Exactly one pair of opposite sides are parallel

Mark which shapes have the following properties.

5. Exactly one pair of opposite sides are congruent

Mark which shapes have the following properties.

6. Exactly one pair of opposite angles are congruent

Mark which shapes have the following properties.

7. Diagonals are congruent

Mark which shapes have the following properties.

8. Diagonals are perpendicular

Class Activity

• 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