Area of a trapezoid 

A=1/2h(b1+b2) 

A=1/2bh 

Area of a rectangle & Parallelogram 

A=bh

Area of rhombus or kite

A=1/2*d1*d2

Area of regular polygon

A=1/2aP

Area of a circle 

A=∏r²

Circumfrence of a circle 

2∏R

Lateral Area of Prism 

L.A=ph

Surface area of Prism 

S.A.=L.A. + 2B

Lateral Area of Cylinder 

L.A=2∏rh 

Surface Area of Cylinder

S.A=L.A. + 2B

Lateral Area of a Regular Pyramid 

L.A=1/2pl 

(P=perimeter of base ; l=slant height)  

Surface Area of a Regular Pyramid 

S.A.=L.A+B 

Lateral Area of a Cone 

L.A.= ∏rl

Surface Area of a Cone 

S.A= L.A. + B 

Volume of a Prism 

V=Bh 

Volume of Cylinder

V=∏r²h

Volume of Pyramid 

V=1/3Bh

Volume of a cone 

V=1/3Bh or

V=1/3∏r²h

Surface Area of a Sphere 

S.A=4∏r²

Volume of a Sphere 

V=4/3∏r³

Pythagorean Theorem 

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45⁰ - 45⁰ - 90⁰

Triangle Theorem 

Hypotenuse= s times the sqaure root of 2. 

Both legs are congruent 

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30⁰-60⁰-90⁰

Triangle Theorem 

Hypotenuse=2 times shorter leg

Long leg= the sqaure root of 3 times shorter leg

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Tanget Ratio 

Tan= lenght of leg oppostie/Lenght of leg adjacent to 

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When to use inverse of tanget 

When finding the angle using the inverse of tanget, 

which is tan^-1

Sine Ratio 

Sine= leg opposite/hypotenuse 

Cosine Ratio 

Cosine= leg adjacent to/ hypotenuse 

When to use inverse of cosine and sine 

Use the inverse of cosine and sine when finding angle measures 

Cos^-1

Sine-¹

Angle of Depression 

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Angle of Elevation 

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Isometries 

Dilations 

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Enlargment Blue is orignial, pink if after

Dilations 

Reduction 

when pre-image is larger than image