Vocabulary for Chapter 4 - Congruent Triangles (part 2)
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
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| Auxiliary Line | A line drawn in a figure to aid in a proof.
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| Congruent Polygons | Two polygons whose corresponding sides and angles are congruent.
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| Corresponding Angles | Angles in the same position in two different polygons that have the same number of angles.
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| Corresponding Sides | Sides in the same position in two different polygons that have the same number of sides.
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| 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.
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| Included Angle | An angle formed by two adjacent sides of a polygon (aka an angle in-between two sides).
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| Included Side | The common side of two consecutive angles in a polygon (aka a side in-between two angles).
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| 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.
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| 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.
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| 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.
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| 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.
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| 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.
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| Isosceles Triangle Theorem | If two sides of a triangle are congruent, then the angles opposite the sides are congruent.
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| Converse of Isosceles Triangle Theorem | If two angles of a triangle are congruent, then the sides opposite those angles are congruent.
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| Vertex Angle | The angle formed by the legs of an isosceles triangle. It is located across from the base.
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| Base Angles | The two congruent angles of an isosceles triangle. The base is located between them.
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| Base | The noncongruent side opposite the vertex angle.
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| Legs | The two congruent sides of an isosceles triangle. The vertex angle is located between them.
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| Equilateral Triangle Corollary | If a triangle is equilateral, then it is equiangular.
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| Equiangular Triangle Corollary | If a triangle is equiangular, then it is equilateral.
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Created by:
hillap
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