6.5

What Is It Called?Pg. 18

Identifying the Quadrilateral

6.5 – What Is It Called? _Identifying the Quadrilateral

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 SHAPEGive the most exact name for the shape.

square kite rhombus

trapezoidparallelogram

parallelogram

rectangle rhombus square

6.25 – TRUE OR FALSE?Determine if the following statements are true or false. If false, provide a counterexample.

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

falserhombus

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

falserectangle

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

falseNot all sides equal

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

false

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

kite

true

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

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

trapezoid

falsekite

Both opposite sides are parallel

Both opposite sides are equal

Both opposite angles are equal

All same-side interior angles are supplementary

xxy

y

Diagonals bisect each other

x y 180

4 equal sides

Diagonals are perpendicular

Diagonals bisect angles

Rhombus:

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

Two consecutive interior angles are supplementary

xayb

x y 180a b 180

One opposite side is equal

Both base angles are equal

Diagonals are equal

A B

D C

AC BD

6.26 – VENN DIAGRAMSUse 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.

Parallelogram Rhombus Rectangle Square Trapezoid Isosceles Trapezoid Kite

2. Both pairs of opposite sides are congruent

Mark which shapes have the following properties.

Parallelogram Rhombus Rectangle Square Trapezoid Isosceles Trapezoid Kite

3. Both pairs of opposite angles are congruent

Mark which shapes have the following properties.

Parallelogram Rhombus Rectangle Square Trapezoid Isosceles Trapezoid Kite

4. Exactly one pair of opposite sides are parallel

Mark which shapes have the following properties.

Parallelogram Rhombus Rectangle Square Trapezoid Isosceles Trapezoid Kite

5. Exactly one pair of opposite sides are congruent

Mark which shapes have the following properties.

Parallelogram Rhombus Rectangle Square Trapezoid Isosceles Trapezoid Kite

6. Exactly one pair of opposite angles are congruent

Mark which shapes have the following properties.

Parallelogram Rhombus Rectangle Square Trapezoid Isosceles Trapezoid Kite

7. Diagonals are congruent

Mark which shapes have the following properties.

Parallelogram Rhombus Rectangle Square Trapezoid Isosceles Trapezoid Kite

8. Diagonals are perpendicular

Mark which shapes have the following properties.

Parallelogram Rhombus Rectangle Square Trapezoid Isosceles Trapezoid Kite

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