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12 Cards in this Set
- Front
- Back
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Theorem 4-1:
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If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
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Theorem 4-1 corollary 1:
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An equilateral triangle is also equiangular.
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Theorem 4-1 corollary 2:
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An equilateral triangle has three 60 degree angles.
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Theorem 4-1 corollary 3:
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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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Theorem 4-2:
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If two angles of a triangle are congruent, then the sides opposite those angles are congruent.
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Theorem 4-2 corollary:
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An equiangular triangle is also equilateral.
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Theorem 4-3 (AAS Theorem):
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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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Theorem 4-4 (HL Theorem):
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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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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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Theorem 4-6:
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If a point is equidistant from the endpoints of a segment, then the point is on the perpendicular bisector of the segment
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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 the angle.
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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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