This Stack will include formulas and theorems covered in the HonorsGeometry Uni
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Midpoint Formula (CH 1) | (X₁+X₂) . (Y₁+Y₂)
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2
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| Distance Formula (CH 1) | √(X₁-X₂)² + (Y₁-Y₂)²
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| Pythagorean Theorem (CH 1) | a² + b² = c²
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| Slope Formula (CH 3) | Y₂ - Y₁
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X₂ - X₁
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| 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.
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| 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.
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| Point-Slope Form (CH 3) | Y - Y₁ = m(X- X₁)
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| Slope-Intercept Form (CH 3) | Y=mX + b
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| 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.
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| 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.
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