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Geometry — Shapes and Theorems

Properties, formulas, and theorems in Euclidean geometry

A
angles_everywhere 15 terms Feb 8, 2026
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Terms 15

1
Pythagorean Theorem
a² + b² = c² for right triangles; c is the hypotenuse
2
Congruent
Figures with identical shape and size
3
Similar
Figures with same shape but different size; corresponding angles equal
4
Parallel Lines
Lines in the same plane that never intersect; same slope
5
Transversal
Line crossing two or more parallel lines creating angle pairs
6
Alternate Interior Angles
Angles between parallel lines on opposite sides of transversal; always equal
7
Area of Circle
A = πr²
8
Circumference
C = 2πr or C = πd
9
Area of Triangle
A = ½bh
10
Surface Area of Sphere
A = 4πr²
11
Volume of Cylinder
V = πr²h
12
Volume of Cone
V = ⅓πr²h
13
Complementary Angles
Two angles summing to 90°
14
Supplementary Angles
Two angles summing to 180°
15
Polygon Interior Angles
Sum = (n−2) × 180°; where n is number of sides