GHSGT MATHQUICK REVIEW

PYTHAGOREAN’S THEOREM

c

b

a

***Remember – use only in a right triangle. ***

a² + b² = c²

C is always opposite of the right angle.

Examples15

12

y

x35

21

x² + 21² = 35² 15² + 12² = y²

Remember – If you are looking for c, add.

If you are given c, subtract.

The last step is always – take the square root.

x 3 5 2 12 2 2 215 12y

Angles

Complementary angles – 2 angles that add up to 90

Supplementary angles –

2 angles that add up to 180

2

1

m1 + m2 = 90

43

m3 + m4 = 180

QUADRANTS8

6

4

2

-2

-4

-6

-8

-10 -5 5 10

IV(+,-)

III(-,-)

II(-,+)

I(+,+)

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 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 TRIANGLESCLASSIFY BY SIDES

Scalene – no sides equal

Isosceles – two sides equal

Equilateral – all sides equal

CLASSIFY BY ANGLES

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)

Volume = amount needed to fill a shape

(formulas are given)

Area = space the figure covers(formulas are given)

Equations of Lines

Y = mx + bm = slopeb = y-intercept

Slope = rise / run orSlope =

Vertical linesEquation will look like x = 3Slope is undefined

Horizontal linesEquation will look likey = 5Slope is 0

2 1

2 1

Y Y

X X

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!