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# HG Formulas&Theorems

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

Question | Answer |
---|---|

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