Transcript GHSGT MATH

GHSGT MATH
QUICK REVIEW
PYTHAGOREAN’S THEOREM
***Remember – use only in a right triangle. ***
a² + b² = c²
c
a
b
C is always opposite of the right angle.
Examples
x
y
35
15
12
21
x² + 21² = 35²
x  35  21
2
2
15² + 12² = y²
y  152  122
Remember – If you are looking for c, add.
If you are given c, subtract.
The last step is always – take the square root.
Angles
Complementary angles –
2 angles that add up to 90
Supplementary angles –
2 angles that add up to 180
1
3
2
m1 + m2 = 90
4
m3 + m4 = 180
QUADRANTS
8
6
II
(-,+)
-10
4
2
-5
III
(-,-)
I(+,+)
5
-2
-4
-6
-8
IV
(+,-)
10
PARALLEL AND
PERPENDICULAR LINES
Parallel lines never cross and they have the same slope.
Perpendicular lines intersect to form right angles and
slopes are opposite reciprocals.
TYPES OF ANGLES
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Acute angle – measure is less than 90
Right angle – measure equals 90
Obtuse angle – measure is between 90 and
180
Straight angle – measure equals 180
( a straight angle is a line)
TYPES OF TRIANGLES
CLASSIFY BY SIDES
CLASSIFY BY ANGLES
Scalene – no sides
equal
Isosceles – two sides
equal
Equilateral – all sides
equal
Acute – three acute
angles
Right – one right angle
Obtuse – one obtuse
angle
Equiangular – all angles
equal
STATISTICS




Mean = average
Median = middle number
(put numbers in order first)
Mode = number that occurs most often
Range = largest number – smallest
number
PERCENT
A percent must be multiplied by a number.
25% of 60 means .25 (60) = 15
IS
OF
=
%
100
Perimeter = distance around the outside
( add up all the sides)
Area = space the figure covers
(formulas are given)
Volume = amount needed to fill a shape
(formulas are given)
Equations of Lines
Y = mx + b
m = slope
b = y-intercept
Slope = rise / run
or
Y2  Y1
Slope =
Vertical lines
Equation will look like
x=3
Slope is undefined
Horizontal lines
Equation will look like
y=5
Slope is 0
X 2  X1
TRANSFORMATIONS
Translation - slide
Rotation - turn
Reflection - flip
IT’S TEST TIME!!!
Do not rush through the test.
Take your time and think about each
question.
Make sure you answer the question that is
asked.
GOOD LUCK!