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21 Cards in this Set
- Front
- Back
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Theorem 4-1
Isosceles Triangle Theorem If two sides of a triangle are congruent, then the angles opposite those sides are also congruent. |
Geometry
Rules! |
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Theorem 4-1 Corollary
Isosceles Triangle Theorem If a triangle is equilateral, then it is equiangular. |
Geometry Rules!
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Theorem 4-2
The bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base. |
Geometry Rules!
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Theorem 4-3
Converse of the Isosceles Triangle Theorem. If two angles of a triangle are congruent, then the sides opposite the angles are congruent. |
Geometry Rules!
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Theorem 4-3 Corollary
If a triangle is equiangular, then it is equilateral. |
Geometry Rules!
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Theorem 4-4
If a triangle is a right triangle, then the acute angles are complementary. |
Geometry Rules!
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Theorem 4-5
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent. |
Geometry Rules!
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Theorem 4-6
All right angles are congruent. |
Geometry Rules!
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Theorem 4-7
If two angles are congruent and supplementary, then each is a right angle. |
Geometry Rules!
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Theorem 4-8
Triangle Midsegment Theorem If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and half its length. |
Geometry Rules!
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Theorem 4-9
Triangle Inequality Theorem The sum of the lengths of any two sides of a triangle is greater than the length of the third side. |
Geometry Rules!
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Theorem 4-10
If two sides of a triangle are not congruent, then the larger angle lies opposite the larger side. |
Geometry Rules!
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Theorem 4-11
If two angles of a triangle are not congruent, then the longer side lies opposite the larger angle. |
Geometry Rules!
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Theorem 4-12
Perpendicular Bisector Theorem If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. |
Geometry Rules!
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Theorem 4-13
Converse of Perpendicular Bisector Theorem If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment. |
Geometry Rules!
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Theorem 4-14
Angle Bisector Theorem If a point is on the bisector of an angle, then it is equidistant from the sides of the angle. |
Geometry Rules!
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Theorem 4-15
Converse of Angle Bisector Theorem If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the angle bisector. |
Geometry Rules!
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Theorem 4-16
The perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from the sides. |
Geometry Rules!
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Theorem 4-18
The lines that contain the altitudes of a triangle are concurrent. |
Geometry Rules!
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Theorem 4-19
The medians of a triangle are concurrent. |
Geometry Rules!
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Theorem 2-1
Triangle Angle-Sum Theorem The sum of the measures of the angles of a triangle is 180. |
Geometry Rules!
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