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Have congruent corresponding parts – their matching sides and angles. When you are naming them, you must list corresponding vertices in the same order. |
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Congruent sides of an isosceles triangle. |
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The third side of an isosceles triangle (opposite of its legs). |
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It is formed by two congruent legs. |
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The two angles opposite of a triangles vertex angle. |
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A theorem that can be proved easily using another theorem. |
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Hypotenuse Leg (HL) Theorem |
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Definition
If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent. (Works only if there are two right triangles, the triangles have congruent hypotenuses, and there is one pair of congruent legs.) |
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If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent. |
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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, then the two triangles are congruent. |
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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 two triangles are congruent. |
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Definition
If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent. |
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Definition
If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the triangles are congruent. |
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Isosceles Triangle Theorem |
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Definition
If two sides of a triangle are congruent, then the angles opposite those sides are congruent. |
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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. |
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Term
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Definition
In a right triangle, the side opposite of the rignt angle. Also, the longest side of a right triangle. |
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