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