Area of a Triangle

[image]

Area of a parallellogram

are of parallelogram = bh

[image]

Area of rhombus or kite

[image]

Area of regular polygon

area = (½)(apothem)(perimeter)

[image]

Area of a Trapezoid

trapezoid = 1/2 H (b₁ + b₂)

[image]

Geometric Mean

Multiply the 2 numbers and take the square root

Distance Formula

[image]

Midpoint Formula

[image]

Volume Prism

Volume of prism = Area of base × height

Volume of Pyramid

The volume of a pyramid is given by the formula:

Volume of pyramid = [image] base × heigh

Volume of Cylinder

V = [image] r²h

Surface Area Cylinder

Surface Area of a Cylinder = 2 pi r ² + 2 pi r

Volume of Cone

[image]

Surface Area Cone

SA=s∏r+∏r²

Volume Sphere

[image]

Surface Area Sphere

SA=[image]

Polygon

Sum of Interior Angles

180(n-2)

Polygon (regular)

Each interior angle

[image]

Polygon

Sum of exterior angles

360°

Regular Polygon

Each exterior Angle

[image]

Converse

Switch If and Then

Inverse

Negate If and Then

Contrapositive

Inverse of the Converse

Pythagorean Theorem

[image]

Tetrahedron

4 Faces

Cube

6 faces

Octohedron

8 Faces

Congruent Triangles

( 6 ways of proving)

SSS

SAS

ASA

AAS

HL

CPCTC

NO SSA or ASS!!!

Scalene Triangle

No congruent Sides

Isoceles Triangle

2 congruent sides

Equilateral Triangle

3 congruent Sides

Acute Triangle

All acute angles

Right Triangle

One right angle

Obtuse Triangle

One obtuse angle

Equiangular triangle

3 congruent angles

60°

Equilateral=Equiangular

Exterior angle of a triangle =

the sume of the 2 non-adjacent interior angles

Midsegment of a triangle

Midsegment of a triangle is parallell to the third side and half the length of the third side

Sin

[image]

COS

[image]

TAN

[image]

Probability

V^part            A^part

V^whole         A^whole

Reflection over the:X axis

Change Y

Reflection over the:Y Axis

Change X

Reflection :Y=X

Switch X and Y

Reflection:Y=-X

Switch and Change Y

Rotations 90

Switch and Change x

Rotations 180

change signs

Rotations 270

Switch and change Y

Translations <a,b>

Add a to x Add b to y

Dilation K=scale Factor

Multiply x and y by k