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HG Formulas&Theorems

This Stack will include formulas and theorems covered in the HonorsGeometry Uni

QuestionAnswer
Midpoint Formula (CH 1) (X₁+X₂) . (Y₁+Y₂) ---------------- 2
Distance Formula (CH 1) √(X₁-X₂)² + (Y₁-Y₂)²
Pythagorean Theorem (CH 1) a² + b² = c²
Slope Formula (CH 3) Y₂ - Y₁ ------- X₂ - X₁
3-5-1 Parallel Line Theorem In a coordinate plane, two non-vertical lines are parallel if and only if they have the same slope.
3-5-2 Perpendicular Lines Theorem In a coordinate plane, two non-vertical lines are perpendicular if and only if the product of their slopes is -1.
Point-Slope Form (CH 3) Y - Y₁ = m(X- X₁)
Slope-Intercept Form (CH 3) Y=mX + b
5-8-1 45°-45°-90° Triangle Theorem In a 45°-45°-90° triangle, both legs are congruent, and the length of the hypotenuse is the length of a leg times √2.
5-8-2 30°-60°-90° Triangle Theorem In a 30°-60°-90° Triangle, the length of the hypotenuse is 2 times the length of the shorter leg, and the length of the longer leg is the length of the shorter leg times √3.
Created by: camshl11