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# Math 4.1-4.7

### Math - Chapter 4 (4.1 - 4.7) Geometry

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

adjacent sides of a triangle | Two sides of a triangle with a common vertex |

corollary | A statement that can be proved easily using a theorem or a definition |

corollary to the triangle sum theorem | The acute angles of a right triangle are complementary |

exterior angles of a triangle | When the sides of a triangle are extended, the angles that are adjacent to the interior angles |

exterior angle theorem | The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles |

interior angles of a triangle | When the sides of a triangle are extended, the three original angles of a triangle |

sides of an isosceles triangles | The two congruent sides of an isosceles triangle are called the legs and the third side is known as the base |

sides of a right triangle | In a right triangle, the sides that form the right angle are called the legs and the side opposite the right angle is known as the hypotenuse |

triangle | A figure formed by three segments joining three noncollinear points called vertices. |

equilateral triangle | three congruent sides |

isosceles triangle | at least two congruent sides |

scalene triangle | no congruent sides |

acute triangles | three acute angles |

equiangular | three congruent angles |

right triangle | one right angle |

obtuse triangle | one obtuse triangle |

triangle sum theorem | the sum of the measures of the interior angles of a triangle is 180 degrees |

vertex of a triangle | each of the three points joining the sides of a triangle |

congruent figures | two geometric figures that have exactly the same size and shape. When two figures are congruent all pairs of corresponding angles and corresponding sides are congruent. |

corresponding angles of congruent figures | when two figures are congruent, the angles that are in corresponding positions and are congruent |

corresponding sides of congruent figures | when two figures are congruent the sides that are in corresponding positions and are congruent |

reflexive property of congruent triangles | every triangle is congruent to itself |

symmetric property of congruent triangles | if triangleABC is congruent to triangleDEF then triangleDEF is congruent to triangleABC |

transitive property of congruent triangles | If triangleABC is congruent to triangleDEF and triangleDEF is congruent to triangleJKL then triangleABC is congruent to triangleJKL |

third angles theorem | if two angles of one triangles are congruent to two angles of another triangle then the third angles are also congruent |

SAS Congruence postulate | if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle then the two triangles are congruent |

SSS congruence postulate | if three sides of one triangle are congruent to three sides of a second triangle then the two triangles are congruent |

AAS congruence theorem | if two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of a second triangle then the two triangles are congruent |

ASA congrunce postulate | if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle then the two triangles are congruent |

base angles of an isoceles triangle | the two angles that contain the base of an isoceles |

base angles theorem | if two sides of a triangle are congruent, then the angles opposite them are congruent |

corollary to base angles theorem | if a triangle is equilateral, then it is equilangular |

corollary to the converse of the base angles theorem | if a triangle is equilangular, then it is equilateral |

converse of the base angles theorem | if two angles of a triangle are congruent, then the sides opposite them are congruent |

hypotenuse-leg congruence theorem | if the hypotenuse and the leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent |

vertex angle of an isoceles triangle | the angle opposite the base of an isoceles triangle |

coordinate proof | a type of proof that involves placing geometric figures in a coordinate plane |

Created by:
jumpthemoon