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14 Cards in this Set
- Front
- Back
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What is the SSS postulate (postulate 12)?
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If three sides of a triangle are congruent to three sides of another triangle the triangles are congruent.
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What is the SAS postulate (postulate 13)?
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If two sides and the included angle of one triangle are congruent to two side and the included angle of another triangle, the triangles are congruent.
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What is the ASA postulate (postulate 14)?
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If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent.
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What is the Isosceles Triangle Theorem?
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If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
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What is Corollary 1? (In chapter 4)
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An equilateral triangle is also equiangular or an equiangular triangle is also equilateral.
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What is Corollary 2? (In chapter 4)
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AN equilateral triangle has three 60 degrees angles.
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What is Corollary 3? (In chapter 4)
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The bisector of the vertex angle of an isosceles triangle is perpendicular to the base at its midpoint.
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What is theorem 4-2?
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If two angles of a triangle are congruent, then the sides opposite those angles are also congruent
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What is the AAS theorem? (Theorem 4-3)
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If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
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what is the HL theorem? (4-4)
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If the hypotenuse and a leg of one right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.
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what is theorem 4-5?
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If a point lies on the perpendicular bisector of a segment, then the point is equidistant from the endpoints of the segment.
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What is theorem 4-6?
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If point is equidistant from the endpoints of a segment, then the point lies on the perpendicular bisector of the segment.
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What is theorem 4-7?
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If a point lies on the bisector of an angle, then the point is equidistant from the sides of an angle.
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What is theorem 4-8?
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If a point is equidistant from the sides of an angle, then the point lies on the bisector of the angle.
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