Term
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Definition
| 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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Term
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Definition
| 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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Term
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Definition
| If two angles of a triangle are congruent, then the sides opposite those angles are congruent. |
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Term
Theorem 4-1
The Isosceles Triangle Theorem |
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Definition
| If two sides of a triangle are congruent, then the sides opposite those sides are congruent. |
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Term
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Definition
| If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. |
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Term
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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. |
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Term
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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.
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Postulate 10
Proving Lines Parallel |
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Definition
| If two parallel lines are cut by a transversal, then corresponding angles are congruent. |
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Term
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Definition
| If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. |
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Term
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Definition
| If two angles are supplements of congruent angles (or of the same angle), then the two angles are congruent. |
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Term
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Definition
| If two lines are perpendicular, then they form congruent adjacent angles. |
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Term
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Definition
| If two lines form congruent adjacent angles, then the lines are perpendicular. |
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Term
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Definition
| Vertical angles are congruent. |
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Term
Theorem 2-2
Angle Bisector Theorem |
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Definition
| If BX is the bisector of <ABC, then m<ABX = 1/2 <ABC and m<XBC = 1/2m <ABC. |
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Term
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Definition
| If a=b and c=d, then a+c = b+d. |
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Term
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Definition
| If a=b and c=d, then a-c = b-d. |
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