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# Geometry

### Chapter 7

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

Area Of A Rectangle | the product of its base and height A=bh |

Area Of A Parallelogram | the product of a base and the corresponding height A=bh |

Base Of A Parallelogram | any of its sides |

Corresponding Altitude | a segment perpendicular to the line containing that base drawn from the side opposite the base |

Height (Parallelogram) | the length of an altitude |

A Diagonal | divides any parallelogram into two congruent triangles |

Theorem 7-3 | the area of a triangle is half the product of a base and the corresponding height A=1/2bh |

Base Of A Triangle | any of its sides |

Corresponding Height (Triangle) | the length of the altitude to the line containing that base |

Theorem 7-4 | in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse a2+b2=c2 |

Pythagorean Triple | a set of nonzero whole numbers a,b, and c that satisfy the equation a2+b2=c2 |

Note About The Pythagorean Triple | if you multiply each number in a Pythagorean triple by the same whole number, the three numbers that result also form a Pythagorean triple |

Theorem 7-5 (Converse Of The Pythagorean Theorem) | if the square of the length of one side of a triangle is equal to the sum of the squares of the lengths of the other two sides, the triangle is obtuse, if c2<a2+b2, the triangle is acute |

Theorem 7-6 | if the square of the length of the longest side of a triangle is greater than the sum of the squares of the lengths of the other two sides, the triangle is obtuse, if c2>a2+b2, the triangle is obtuse |

Theorem 7-7 | if the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides,the triangle is acute, if c2<a2+b2, the triangle is acute |

Bases Of A Trapezoid | the parallel sides |

Legs Of A Trapezoid | the nonparallel sides |

Height Of A Trapezoid | the perpendicular distance h between the bases |

Theorem 7-10 (Area Of A Trapezoid) | the area of a trapezoid is half the product of the height and the sum of the bases |

What do rhombuses and kites have in common? | both have perpendicular diagonals |

Theorem 7-11 (Area Of A Rhombus Or A Kite) | the area of a rhombus or a kite is half the product of the lengths of its diagonals A=1/2d1d2 |

Theorem 7-12 (Area Of A Regular Polygon) | the area of a regular polygon is half the product of the apothem and the perimeter |

Center Of A Regular Polygon | the center of the circumscribed circle |

Radius | the distance from the center to a vertex |

Apothem | the perpendicular distance from the center to a side, the apothem bisects the vertex angle of the isosceles triangle formed by the radii |

Created by:
jordinlevy