Formulas for Geometry Square:

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1

Area = S2 Perimeter = 4⋅S Triangle: Area = ½⋅B⋅H Circle: Area = π⋅R2 Circumference = 2⋅π⋅R Diameter = 2⋅R Cube: Volume = S3 Surface Area = 6⋅S2

Rectangle:

W Area = L⋅W S Perimeter = 2⋅L + 2⋅W L S Right Triangle:

Pythagorean Theorem: c a

H c2 = a2 + b2

b B Sphere:

R Surface Area = 4⋅π⋅R2 R

Volume = 34⋅π⋅R3

R Right Cylinder: Volume = π⋅R2⋅H H

S Surface Area = 2⋅π⋅R⋅H + 2⋅π⋅R2 S

S Rectangular Solid: Parallelogram: Volume = L⋅W⋅H Area = b⋅h Surface Area = 2⋅L⋅W + 2⋅L⋅H + 2⋅W⋅H

H

W L

Trapezoid: Area= )(2 21 bbh

+

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2

Right Circular Cone:

Volume = 3

2hrπ

Lateral Surface Area = 22 hrr +π Angles: Complementary Angles: Two angles whose degree measures have a sum of 90. Supplementary Angles: Two angles whose degree measures have a sum of 180. Congruent Angles: Angles that have the same measure. (Vertical angles are congruent.)

If lines M and N are parallel (M N), and they are both intersected by another line O, not being perpendicular, then: Supplementary Angles:

1 ∠ and and 2 ∠ 6 ∠ 8 ∠3 ∠ and and 4 ∠ 3 ∠ 5 ∠5 ∠ and and 6 ∠ 4 ∠ 6 ∠7 ∠ and 8 ∠1 ∠ and 3 ∠2 ∠ and 4 ∠5 ∠ and 7 ∠

Frustum of Circular Cone:

Volume = 3

)(r 22 hRrR ++π

Lateral Surface Area = π⋅s⋅(R + r) Cone: For any cone:

Volume = 3Ah

(A = area of base)

1 2 M3 4

5 6N

7 8 Congruent Angles:

1∠ and 4∠ 3 ∠ and 7 ∠2∠ and 3 ∠ 2∠ and 6 ∠5 ∠ and 8 ∠ 4∠ and 8 ∠6 ∠ and 7 ∠ 3 ∠ and 6 ∠1∠ and 8 ∠ 4 ∠ and 5 ∠2∠ and 7 ∠ 1∠ and 5 ∠