go over homework notes: trapezoids and kites identify special...

- Go over homework

- Notes:

-Trapezoids and kites

- Identify

special quads and

coordinate geometry

- Practice with quads

Warm - Up

Parallelogram: both pairs opposite

sides/angles congruent

Rectangle: all right angles

Rhombus: all sides congruent

Square: both a rectangle and rhombus!

x = 2; y = 1

Parallelogram: both pairs opposite

sides congruent

Rhombus: all sides congruent

x = 27; y = 4

8.4 homework

ELABORATE

1) 24º, 90º, 78º

2) 5, 78º, 12º

3) CD = 132

4) AB = 20

5) x= 7, y = 6

EVALUATE

1) Square

2) Rectangle

3) Rhombus

4) AB = 40, AC = 41

5) WY = 44

6) x = 5, y = 12

7) CD = 36 or 25

8) m<ABC=81º or 25º

m<BDC=40.5º or 12.5º

8.5 Notes: Use Properties of

Trapezoids and Kites

Objective: Learn the properties of

trapezoids and kites to solve

problems.

Properties of

Trapezoids –

For your

Flipbook…

Properties of Trapezoids On the back, you will have two examples:

1. Given trapezoid EZOI

with median AB, find x.

Properties of Trapezoids 2. Given IEZO is an isosceles trapezoid, and

EO = 4x + 6 and IZ = 10x – 18, find x.

Properties of Trapezoids

On a coordinate plane, you can use the SLOPE

FORMULA to prove that one pair of opposite sides is

parallel.

Coordinate Proofs:

Trapezoid class work

Properties of Kites –

For your Flipbook

Properties of Kites On the back, you will have one example:

Given the kite, find TE, EX,

XS, ST,AT, EA, and AS.

Mark your picture with

what you know about

kites.

ΔTEA is a 45-45-90 triangle.

TA = 10 because TA = AX.

EA = 10 because TA = EA.

TE = 210 by using the 45-45-90 formula

EX = 210 because TE = EX

AS = 310 by using the 30-60-90

formula

TS = 20 by using the 30-60-90 formula

XS = 20 because TS = XS

KITES –

CLASSWORK

8.6 Notes: Identify Special

Quadrilaterals

Objective: Apply the characteristics of specific quadrilaterals to identify what kind of quadrilateral you are given.

What is it???

See if it’s a parallelogram by deciding if one of the five

characteristics is marked in the picture:

Are both pairs of opposite sides parallel?

Are both pairs of opposite sides congruent?

Are both pairs of opposite angles congruent?

Are the diagonals congruent?

Is there one pair of sides that is both parallel and congruent?

SOLUTION:

Therefore, it is a parallelogram. Can it be anything else?

See if it’s a rectangle by deciding if one of the two

characteristics is marked in the picture:

Are there 4 right angles?

Are the diagonals congruent?

yes

no

no

no

no

yes

yes

Therefore, it is a rectangle. Can it be anything else?

What is it???

See if it’s a rhombus by deciding if one of the two main

characteristics is marked in the picture:

Are all sides congruent?

Are diagonals perpendicular?

no

no

If it doesn’t have a characteristic of a rhombus,

then it cannot be a square either! Therefore, the

figure is only a rectangle!

What is it???

Try these with your group:

rhombus square

parallelogram

isosceles

trapezoid square

Activity

• Homework/ Practice

WS 8.5 & 8.6