Download Yards, Feet and Inches - The Norman Howard School

Yards, Feet and Inches
King
Henry
Doesn't Usually Drink Chocolate Milk
Kilo Hecto
Deca Unit
Deci Centi Milli
is a dot
has arrows at the end and goes on forever
has one endpoint and one arrow
are dots at the end of rays and segments
has two endpoints
a flat surface that is endless in all directions
lines that cross
are lines that are the same distance apart and never cross
How to read a protractor
When the angle
opens to the right.
Use the lower or inside scale.
When the angle
opens to the left.
Use the upper or outside scale.
Solving for Missing Angles
Complementary Angles
Supplementary Angles
x = 57
missing angle
x
missing angle
x
x = 14
Two angles that add up to 180
x + 166 = 180
-166 -166
Two angles that add up to 90
33 + x = 90
-33
-33
x = 57
the missing angle
x = 14
Vertical Angles
= 107
the missing angle
Two diagonal angles are congruent
the missing angle
Triangle
Hexagon
Quadrilateral
Pentagon
Octagon
Inside
Acute
3 equal
Right
one right
Obtuse
one obtuse
Outside
Equilateral
three
equal
Isosceles
Scalene
two
NO
equal
equal
parallelogram
2 pairs of parallel sides
Rectangle
4 right angles, 2 pairs of parallel sides
Rhombus
4 equal sides, 2 pairs of parallel sides
Square
4 rights angles
4 equal sides
2 pairs of parallel sides
is equal to 90
is between 0 and 90
is between 90 and 180
is equal to 180
are on diagonal sides and are congruent (same)
two angles that add up to 90
two angles that add up to 180
Perimeter and Area Formulas
Square:
Perimeter
Area
P = 4s
A = s2
side
Area
side
Perimeter
Rectangle:
Area
Perimeter
A=LxW
P= 2L + 2w
Length
Area
Width
Length
Width
Perimeter
Parallelogram and Trapezoid
Area of a Trapezoid
Area of a Parallelogram
A = bh
Area
A = 1 (b1 + b2) h
height
2
base height
base1
Triangle
Area
A = 1 bh
2
base
height
base2
3 sided
40 + 95 + x = 180
135 + x = 180
-135
-135
x = 45
All triangles add up to 180
58 + 108 + 130 + x = 360
296 + x = 360
-296
-296
x = 64
All quadrilaterals add up to 360
Circle Formulas
C = 2(3.14)(r)
A = 3.14(r2)
C = 3.14(d)
A = .25(3.14)(d2)
Coordinate Graph (Plane)
Plotting coordinate points (x,y) on a graph
Qudrant II
+y axis
6
y
5
(-x,+y)
(+x,+y)
(2,4)
4
(-2,3)
Qudrant I
3
2
1
-x axis
­6
­5
­4
­3
­2
­1
(0,0)
origin
0
­1
x
1
­2
(-5,-3)
2
3
4
5
(3, -2)
­3
­4
(-x,-y)
(+x,-y)
­5
Qudrant III
­6
-y axis
Qudrant IV
Step 1: Start at the origin
Step 2: Move right (positive x) or left (negative x).
Step 3: Move up (positive y) or down (negative y)
Step 4: Plot your point and label
6
+x axis
directions x­axis
directions
y­axis
9 units to the right 2 units down
y
3
( x, y) = (x +/­ a, y +/­ b)
2
(­2 , 1)
1
x
start
x­axis
start
y­axis
­3
­2
­1
0
1
­1
Solve for the end poitns
­2
­3
( x, y) = (­2 +9, 1­ 2)
end point
(7,­1)
2
3
(-x,y)
(x,y)
II
I
(-x,-y)
III
x and y switch spots
(x,-y)
IV
x and y stay
x and y switch spots
11
12
1
11
2
10
3
9
4
8
7
6
5
12
1
2
10
3
9
4
8
7
6
5
coordinate graphs will always run counterclockwise except when it states clockwise. Is a mirror image.
reflection over the x-axis: x stays the same and the sign on y changes
reflection over the y-axis: y stays the same and the sign on x changes
reflection over the origin (both axis): both signs change on x and y.
Dilation
to make a dilation larger (whole number) - multiply
to make a dilation smaller (fraction) - divide