CHAPTER 6 – Quadrilaterals

QuadrilateralsQuadrilaterals are any polygons which have

four sides. We will be looking at the following polygons:

Parallelograms, Kites, Rhombuses, Rectangles, Squares, Trapezoids, Isosceles Trapezoids.

Classifying PolygonsPolygons are easier to understand when we

organize them in to a family tree.

How are you at classifying things?Organize the following words in tree shaped

organizerDog, Mammal, Cat, German Shepherd,

Animal, Reptile Animal

Mammal

Reptile

DogCat

German Shepherd

This arrangement puts topics in order from large categories to smaller ones.

ParallelogramsParallelogram is a quadrilateral with two sets

of parallel sides

Why is there a rectangle included here?

What other shapes could also be displayed here?

RectanglesRectangles are parallelograms with four right

angles.

RhombusA Rhombus is a parallelogram with 4

congruent sides.

Why is there a square included on this slide?

SquaresSquares are parallelograms with 4 congruent

sides and 4 rights angles.

TrapezoidsTrapezoids are quadrilaterals with exactly

one set of parallel sides

Isosceles TrapezoidsIsosceles Trapezoids are trapezoids with two

congruent legs

KitesKites are quadrilaterals with no sets of

parallel sides and 2 sets of congruent sides which are adjacent to each other.

Note: There are many other quadrilaterals which also have no sets of parallel sides that we do not give names to

Quadrilateral Family TreeYou and a partner now have 10 minutes to

organize each of the quadrilaterals into a family tree. Use the following words: quadrilateral, parallelogram, rectangle, square, trapezoid, isosceles trapezoids, kite.

Complete the graphic organizer.

Quadrilateral Q’s – True or FalseAll Squares are Rectangles.

TrueA trapezoid is a parallelogram.

FalseA rhombus can be a kite.

FalseSome parallelograms are squares.

TrueEvery Quadrilateral is a parallelogram.

False

More Quadrilateral Q’sWhat are all of the possible names one could

use for a square?Rhombus, Rectangle, Parallelogram,

Quadrilateral

Find x and y.Kite

x + 3 14

y-72x - 1

Find x and yRhombus

10 + 2x

4y- 2

8x-2

2y+6

HomeworkP 290 (1-12,19-26,36,46-49)