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conguent polygons and congruent triangles |
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Definition
1. same number of sides 2. corresponding sides are congruent 3. corresponding angles are congruent |
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Any segment or angle is congruent to itself |
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5 Ways to Prove that Two Triangles are Congruent |
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SSS, SAS, ASA, AAS, HL Postulate |
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If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent. |
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segment whose endpoints are the center of the circle and a point on the circle |
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a segment drawn from a vertex of a triangle to the midpoint of the opposite side - 3 medians in evry triangle meet at 1 point |
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a segment drawn from a vertex of a triangle perpindicular to the line containing the opposite side |
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w/ at least 2 congruent sides |
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Note about equilateral triangles and isosceles triangles: |
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every equilateral triangle is an isosceles triangle but evry isosceles triangle isn't an equilateral triangle |
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all angles in a traingle are congruent -all equiangular triangles are also isosceles triangles |
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a triangle w/ all acute angles |
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a triangle w/ an obtuse angle |
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triangle w/ a right angle |
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side opposite right angle |
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1. longest side is opposite the longest angle 2.shortest side is opposite the smallest angle 3. middle side is opposite the middle length angle |
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isosceles triangle theorems |
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Definition
1. if 2 sides of a triangle are congruent, then the angles oppoiste the sides are congruent 2. if 2 angles in a triangle are congruent, then the sides opposite the angles are congruent |
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