Geometry EOC Cheat Sheet

A Education › Mathematics cheat sheet in English by RednBlueArtist

This is the general cheat sheet for the geometry EOC, please leave a review if you think anything needs to be added!

7,282 views 923 downloads 13 May 2025 History

Formulas of 2-D and 3-D Figures

Formulas of 2-D and 3-D Figures

Pythag­orean Theorem

a2 + b2 = c2
————
If a2 + b2 = c2, then the triangle is right
If a2 + b2 > c2, then the triangle is acute
If a2 + b2 < c2, then the triangle is obtuse

Special Right Triangles

Special Right Triangles

Arc Length and Sector Area

Arc Length
(M/360­)*2πr
Sector Area
(M/360)*πr2
M = angle measure of sector

Coordinate Formulas

Distance between 2 points
√ ((x2-x1)2+(y2-y1)2)
Midpoint of a line segment
(x2 + x1)/2,(y2 + y1)/2
Slope Formula
(y2 - y1)/(x2 - x1)

Congruent Triangles

Valid
SSS, SAS, ASA, AAS, & HL
NOT Valid
SSA or the coverse
HL only applies to right triangles

Equation of a Circle

Equation of a Circle

Parallel Lines cut by a Transv­ersal

Parallel Lines cut by a Transversal

Polygon Interi­or/­Ext­erior Angles

Sum of Int. Angles
180(n - 2)
Each Int. Angle Measure
180(n - 2)/n
Sum of Ext. Angles
360
Each Ext. Angle Measure
360/n

Condit­ionals

Condit­ional (Original)
if p, then q
Converse
If q, then p
Inverse
If not p, then not q
Contra­pos­itive
If not q, then not p
Bicond­itional
p if and only if q

Circles

Circles

Trigon­ometric Ratios

Trigonometric Ratios

Triangle

Scalene
no congruent sides
Isosceles
2 congruent sides
Equila­teral
3 sides congruent
Equian­gular
3 congruent angles (60 degrees)
Acute
all acute angle
Right
one right angle
Obtuse
one obtuse angle
Equian­gular = Equila­teral

Exterior angle of a triangle equals the sum of the 2 non-ad­jacent interior angles

Mid-se­gment of a triangle is parallel to the third side and half the length of the third side

Transf­orm­ation Rules

Transformation Rules

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Cheatography n. The art of mapping complex subjects into clear, instantly navigable reference guides.