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Geometry Ch.4 part 2

Vocabulary for Chapter 4 - Congruent Triangles (part 2)

TermDefinition
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.
Created by: hillap