congruent angles of parallel lines cut by a transversal 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 1 2 3 4 5 6...
TRANSCRIPT
Congruent angles of parallel lines cut by a transversal
1 2
3 4
5 6
7 8
1 2
3 4
5 6 7 8
1 2
3 4
5 6
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
1 2
345 6
78
ALTERNATE INTERIOR ANGLES
< 4 < 6, <3 <5
VERTICAL ANGLES
<1 < 3
CORRESPONDING ANGLES
LOOK FOR THE “ F “ s:Regular, UpsideDown, orBackwards
1 2
345 6
78
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
a + b = 90
Congruent angles with parallel lines
1 2
345 6
78
ALTERNATE INTERIOR ANGLES
< 4 < 6, <3 <5
VERTICAL ANGLES
<1 < 3
CORRESPONDING ANGLES
LOOK FOR THE “ F “ s:Regular, UpsideDown, orBackwards
1 2
345 6
78
Pe RIM -et er
Cherry Pies Delicious
• Circumference =
• x Diameter
= Circumference
Diameter
AERA
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 right7
9 8
Congruent angles with parallel lines
1
1
2
2
34
5
56
7
78
12
34
5 6
78
c
c
C
C
C
cCc
ALTERNATE INTERIOR ANGLES
< 4 < 6, <3 <5
VERTICAL ANGLES
<1 < 3
CORRESPONDING ANGLES
LOOK FOR THE SMALL C’S AND THE LARGE C’S
Pythagorean TheoremRight On with Right Triangles
3
4
5
a2 + b2 = c2
32 + 42 = 52
9 + 16 = 25
25 = 25
6
8
10
a2 + b2 = c2
62 + 82 = 102
36 + 64 = 100
100 = 100
hypotenusehypotenuse
Sin Cosine Tangent
HypotenuseOpposite
Angle a
Sin = Soh Cos = Cah
Angle aAdjacent
Hypotenuse
Angle a
Tan = Toa
Opposite
Adjacent
Special Quadrilateral Family
_____________ ____________
_________________ ________
____________
Pe RIM e + 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= bhName some rectangles with
areas of 80_________________________
_____________________________________________________
E
ROTATION
E
EE
E
E
EE
0
4590
135
180
225
270315
TRANSLATION
Before
After
Reflection
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