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| The segment connecting the midpoints of two sides of a triangle is parallel to the third side and it half as long as that side. |
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| Distributive Property POE |
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| Segment Addition Postulate |
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Segment AB is congruent to segment AB
AB=AB
(works w/ angles) |
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| If segment AB is congruent to segment CD and segment CD is congruent to segment EF, then segmnet AB is congruent to segment EF |
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| If two angles form a linear pair, then they are supplementary |
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| Vertical Angles Congruence Theorem |
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| If two angles are vertical angles, then they are congruent |
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| Congruent Supplements/Complements Theorem |
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| If angles 1 and 2 are supplementary/complementary and angles 2 and 3 are supplementary/complementary, then angles 1 and 3 are congruent |
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| Corresponding Angles Postulate |
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| If two parallel lines are intersected by a transversal, then the corresponding angles will have the same measure/be congruent |
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| Alternate Interior Angles Theorem |
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| If two parallel lines are intersected by a transversal, then the Alternate Interior Angles are congruent |
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| Alternate Exterior Angles Theorem |
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| If two parallel lines are intersected by a transversal, then the Alternate Exterior Angles are congruent |
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| Same Side Interior Angles/Consecutive Interior Angles Theorem |
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| If two parallel lines are intersected by a transversal, then the Same Side Interior Angles/Consecutive Interior Angles are supplementary |
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| Transitive Property of Parallel Lines |
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| If pllr and pllq, then rllq |
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| Congruent Linear Pair Theorem |
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| If the angles in a linear pair are congruent, then the lines that form them are perpendicular |
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| Adjacents Complements Theorem |
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| If two angles are adjacent and complementary, then the lines that form them are perpendicular |
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| A figure that creates two congruent angles |
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| Perpendicular Segment Bisector |
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| A figure that creates 2 congruent segments and a right angle |
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| A figure that connects a vertex to its opposite side perpendicularly |
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| A segment that connects the midpoint of two sides |
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| If 2 pairs of angles are congruent, then the thrid pair is congruent |
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| Angle Side Angle-included side |
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| Side Angle Side-included angle |
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| Hypotnuse Leg-right triangles |
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| Shortcuts To Proving Triangle Congruency |
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| If 2 sides of a triangle are congruent, then the angles opposite of them are congruent |
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| Equilateral Triangles Theorem |
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| If a triangle is equilateral, then it is equiangular |
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| Perpendicular Bisector-Point Of Concurrency |
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| Medians-Point Of Concurrency |
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| Angle Bisectors-Point Of Concurrency |
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| Altitude-Point Of Concurrency |
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| Concurrency of Perpendicular Bisectors Theorem |
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| The circumcenter is equidistant to the verticies of the triangle |
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| Concurrency of Medians Theorem |
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Divides each median into 1/3 and 2/3 of the hole
Little piece is half the big piece
Big piece is 2 times the little piece |
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| Concurrency of Angle Bisectors Theorem |
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The incenter is equidistant to the sides
(perpendicular distance) |
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| Concurrency of Altitude Theorem |
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