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Geometry Ch.4 part 2
Vocabulary for Chapter 4 - Congruent Triangles (part 2)
| Term | Definition |
|---|---|
| Auxiliary Line | A line drawn in a figure to aid in a proof. |
| Congruent Polygons | Two polygons whose corresponding sides and angles are congruent. |
| Corresponding Angles | Angles in the same position in two different polygons that have the same number of angles. |
| Corresponding Sides | Sides in the same position in two different polygons that have the same number of sides. |
| CPCTC | An abbreviation for the phrase "Corresponding Parts of Congruent Triangles are Congruent". It can be used as a justification in a proof after you have proven two triangles congruent. |
| Included Angle | An angle formed by two adjacent sides of a polygon (aka an angle in-between two sides). |
| Included Side | The common side of two consecutive angles in a polygon (aka a side in-between two angles). |
| Side-Side-Side (SSS) Congruence Postulate | If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. |
| Side-Angle-Side (SAS) Congruence Postulate | If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. |
| Angle-Side-Angle (ASA) Congruence Postulate | If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. |
| Angle-Angle-Side (AAS) Congruence Theorem | If two angles and a nonincluded side of one traingle are congruent to the corresponding angles and nonincluded side of another triangle, then the triangles are congruent. |
| Hypotenuse-Leg (HL) Congruence Theorem | 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. |
| Isosceles Triangle Theorem | If two sides of a triangle are congruent, then the angles opposite the sides are congruent. |
| Converse of Isosceles Triangle Theorem | If two angles of a triangle are congruent, then the sides opposite those angles are congruent. |
| Vertex Angle | The angle formed by the legs of an isosceles triangle. It is located across from the base. |
| Base Angles | The two congruent angles of an isosceles triangle. The base is located between them. |
| Base | The noncongruent side opposite the vertex angle. |
| Legs | The two congruent sides of an isosceles triangle. The vertex angle is located between them. |
| Equilateral Triangle Corollary | If a triangle is equilateral, then it is equiangular. |
| Equiangular Triangle Corollary | If a triangle is equiangular, then it is equilateral. |
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