# Congruent angles of parallel lines cut by a transversal - PowerPoint PPT Presentation

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1 2. 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

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Congruent angles of parallel lines cut by a transversal

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#### Presentation Transcript

1 2

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

R I M

P E

E T

E R

### Pe RIM -et er

Circumference =

p x Diameter

p = Circumference

Diameter

A

R

E

A

### 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

Cos = Cah

Sin = Soh

Tan = Toa

Hypotenuse

Hypotenuse

Opposite

Opposite

Angle a

Angle a

Angle a

____________

_____________

________

________

_________

____________

### 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

______________________________________________________________________________

E

90

E

135

45

180

0

E

E

225

315

E

270

E

E

ROTATION

Turn around a central point

E

TRANSLATION

Slide to a new location along a straight line

After

Before

Reflection

Flip over a line of symmetry

M

M

M

M

### 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