Cheatography
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This is the general cheat sheet for the geometry EOC
Formulas of 2-D and 3-D Figures
Pythagorean Theorem
a2 + b2 = c2
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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 |
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
Parallel Lines cut by a Transversal
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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 |
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
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