Term
| Thm 4-2-1 "Triangle Sum Theorem" |
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Definition
| The sum of the angles measures of a triangle is 180 degrees. (p. 223) |
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Term
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Definition
| The acute angels of a right triangle are complementary. (p. 224) |
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Term
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Definition
| The measure of each angel of an equiangular triangle is 60 degrees. (p. 224) |
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Term
| Thm. 4-2-4 "Exterior Angle Theorem" |
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Definition
| The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles. |
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Term
| Thm 4-2-5 "Third Angles Theorem" |
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Definition
| If two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles are congruent. (p. 226) |
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Term
| Post 4-4-1 "Side-Side-Side (SSS) Congruence Postulate" |
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Definition
| If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. (p. 242) |
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Term
| Post 4-4-2 "Side-Angle-Side (SAS) Congruence Postulates" |
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Definition
| 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. (p. 243) |
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Term
| Post 4-5-1 "Angel-Side-Angle (ASA) Congruence Postulates" |
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Definition
| 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. (p. 252) |
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Term
| Thm 4-5-2 "Angle-Angle-Side (AAS) Congruence Theorem" |
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Definition
| If two angles and a nonincluded side of one triangle are congruent to the corresponding angles and nonincluded side of another triangle, then the triangles are congruent. (p. 254) |
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Term
| Thm 4-5-3 "Hypontenuse-Leg (HL) Congruence Theorem" |
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Definition
| 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. (p. 255) |
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Term
| Thm 4-8-1 "Isosceles Triangle Theorem" |
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Definition
| If two sides of a triangle are congruent, then the angles opposite the sides are congruent. (p. 273) |
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Term
| Thm 4-8-2 "Converse of the Isosceles Triangle Theorem" |
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Definition
| If two angles of a triangle are congruent, then the sides opposite those angles are congruent. (p. 273) |
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Term
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Definition
| If a triangle is equilateral, then it is equiangular. (p. 274) |
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Term
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Definition
| If a triangle is equiangular, then it is equilateral. (p. 275) |
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