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Congruent angles of parallel lines cut by a transversalPowerPoint Presentation

Congruent angles of parallel lines cut by a transversal

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3 4

5 6

7 8

Congruent angles of parallel lines cut by a transversal

1 2

1 2

3 4

3 4

5 6

5 6

7 8

7 8

ALTERNATE INTERIOR ANGLES

3 6 and 4 5

VERTICAL ANGLES

1 4, 2 3

5 8, and 6 7

CORRESPONDING ANGLES

1 5, 2 6, 3 7,

and 4 8

* Cutting and sliding on top will give you corresponding angles

Congruent angles with parallel lines

OR

1

2

1

2

4

4

3

3

6

5

6

5

8

7

8

7

ALTERNATE INTERIOR ANGLES

< 4 < 6, <3 <5

CORRESPONDING ANGLES

LOOK FOR THE “F “ s:

Regular, UpsideDown, or

Backwards

VERTICAL ANGLES

<1 < 3

Complementary Angles

- You only get a compliment when you get a 90 on your math test
- Two angles whose sum is = to 90o

a + b = 90

a

b

Congruent angles with parallel lines

OR

1

2

1

2

4

4

3

3

6

5

6

5

8

7

8

7

ALTERNATE INTERIOR ANGLES

< 4 < 6, <3 <5

CORRESPONDING ANGLES

LOOK FOR THE “F “ s:

Regular, UpsideDown, or

Backwards

VERTICAL ANGLES

<1 < 3

Complementary Angles

- You only get a compliment when you get a 90 on your math test
- Two angles whose sum is = to 90o
- a b

Parallelogram

- The h or height looks like a chair
The chair has to sit flat on the floor so as not to tip over

- A = bh
- Find the area of the shape on the right

8

9

7

Congruent angles with parallel lines

C

1

c

1

2

2

C

3

4

c

4

3

C

6

c

5

5

6

8

7

8

c

C

7

CORRESPONDING ANGLES

LOOK FOR THE SMALL C’S AND THE LARGE C’S

ALTERNATE INTERIOR ANGLES

< 4 < 6, <3 <5

VERTICAL ANGLES

<1 < 3

5

2

7

1

Pythagorean TheoremRight On with Right Triangles

hypotenuse

hypotenuse

6

5

3

10

4

8

- a2 + b2 = c2
- 32 + 42 =52
- + 16 = 25
- 25 = 25

- a2 + b2 = c2
- 62 + 82 = 102
- + 64 = 100
- 100 = 100

Sin Cosine Tangent

Cos = Cah

Sin = Soh

Tan = Toa

Hypotenuse

Hypotenuse

Opposite

Opposite

Angle a

Angle a

Angle a

Adjacent

Adjacent

PeRIMe+er

- Explain what is meant by perimeter. ________________________________________________________________
- Give some possible dimensions of a yard with a perimeter of 10.
- ____________________________________________________________________________

Rectangle

- Area = base X height
A= bh

Name some rectangles with areas of 80

______________________________________________________________________________

Volume of a circle

- Volume
- paint the bottom of the can
- Find the area of circle
R2

- Multiply by the height

R2

Volume of a Prism

- Find the area of the bottom
l w

- Multiply by the height
- l w h

Paint the bottom of the box

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