Geometry Ch. 4
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Created by:
Proskillerninja on October 23, 2009
Subjects:
math, math vocabulary, mathematics, mathematics vocabulary, geometry, geometry vocab, geometry vocabulary, geometry theorems, corollaries, postulates
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36 terms
Terms | Definitions |
|---|---|
 Acute triangle | Three acute angles |
| Equiangular triangle | Three congruent acute angles |
| Right Triangle | One right angle |
| Obtuse Triangle | One obtuse angle |
| Equilateral triangle | Three congruent sides |
| Isosceles triangle | At least two congruent sides |
| Scalene triangle | No congruent sides |
| Vertices | a corner of a polygon |
| Triangle sum theorem | The sum of the angle measures of a triangle is 180 degrees |
| Corollary | A theorem whose proof follows directly from another theorem |
| Interior | The set of all points inside the figure |
| Exterior | The set of all points outside the figure |
| Interior angle | Is formed by two sides of an angle |
| Exterior angle | Is formed by one side of a triangle and the extension of the adjacent side |
| Remote Interior angles | An interior angle that is not adjacent to the exterior angle |
| Exterior angle theorem | The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles |
| Third angle theorem | If two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles are congruent |
| Watch corresponding sides and angles | Ok |
| Triangle rigidity | A shortcut for proving two triangles congruent |
| Included angle | An angle formed by two adjacent sides of a polygon |
| Side-Side-Side postulate (SSS) | If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent |
| Side-Angle-Side postulate (SAS) | If two sides and the included angle of one triangle are congruent to two sides and and the included side of another triangle, then the triangles are congruent. |
| Included Side | The common side of two consecutive angles in a polygon |
| Angle-Side-Angle postulate (ASA) | If two angles and the included side of one triangle are congruent to two angles and a included side of another triangle, then the triangles are congruent |
| Angle-Angle-Side postulate (AAS) | If two angles and a nonincluded side of one angle are congruent to the corresponding angles and nonincluded side of another triangle, then the triangles are congruent |
| Hypotenuse-Leg postulate (HL) | If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent |
| CPCTC | An abbreviation for "Corresponding parts of congruent triangles are congruent" It can be used as a justification in a proof after you have proven two triangles congruent |
| Coordinate proof | A style of proof that uses coordinate geometry and algebra |
| Legs | The congruent sides in a isosceles triangle |
| Vertex angle | The angle formed by the legs |
| Base | The side opposite to the vertex angle |
| Base angles | The two angles that have the base as a side |
| Isosceles triangle theorem | If two sides of a triangle are congruent, then the angles opposite to the sides are congruent |
| Converse of Isosceles triangle theorem | If two angles of a triangle are congruent, then the sides opposite to those angles are congruent |
| Equiangular triangle corallary | If a triangle is equiangular, then it is equilateral |
| Auxiliary line | A line that you can add to a proof that helps you prove something |
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