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| three non-collinear points connected by segments |
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| Thm: If a statement is true, |
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| then its contrapositive is true. |
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| If lines, rays, or segments intersect at a 90 degree angle, then they are perpendicular. |
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| if two angle have a sum of 90 degrees, then they are complementary |
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| if two angles have a sum of 180 degrees, then they are supplementary |
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| Thm: If angles are supp(or comp) to the same angle, |
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| If two angles are supp (or comp) to congruent angles, |
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| If two collinear rays have the same endpoint and extend in different directions, then they are opposite rays. |
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| If the sides of two angles are formed by opposite rays, then they are vertical angles. |
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| all pairs of corresponding parts are congruent |
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| Any segment or angle is congruent to itself. |
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| Euclidean transformations |
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| In now way alter "the shape" of a shape. |
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| side side side congruency postulate |
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| angle, included side, angle congruency postulate |
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| side, included angle, side congruency postulate |
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| angle, angle, not included but alas corresponding side congruency theorem |
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| corresponding parts of congruent triangles are congruent |
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| a set of all points on a plane whose distance from a center point is fixed |
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| a segment from the center of a circle to the rim |
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| Thm: All radii of congruent circles |
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| a segment drawn from the vertex of a triangle to the midpoint of the opposite side |
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| a segment drawn from a vertex of a triangle to the opposite side, EXTENDED IF NECESSARY, that is perpendicular to that side. |
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| a triangle in which no sides are congruent |
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| a triangle in which at least two sides are congruent |
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| a triangle in which all three sides are congruent |
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| a triangle with one right angle |
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| Isosceles triangle theorem |
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| If two sides of a triangle are congruent, then the angles opposite them will also be congruent. |
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| converse of the isos congruency thm |
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| If two angles of a triangle are congruent, then the sides opposite them will also be congruent. |
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| All equilateral triangles are equiangular. |
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| Thm: If two sides of a triangle are not congruent |
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| then the angles opposite them are not congruent |
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| Thm: If two angles in a triangle are not congruent |
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| then the sides opposite them will also not be congruent. |
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| If a corresponding leg and hypotenuse in right triangles are congruent, then the triangles are congruent. |
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| Thm: If two angles are both supp and congruent to each other, |
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| then they are right angles. |
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| the length of the shortest path joining two objects |
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| Postulate: a segment is the shortest |
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| the LINE that is perpendicular to and bisects the segment |
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| If two points are each equidistant from the endpoints of a segment, then they determine the perp bis of that segment. |
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| If a point is on the perp bis of a segment, then the point is equidistant from the endpoints of that segment. |
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| If a point is on the angle bisector of an angle, then it is equidistant from the sides of that angle. |
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| a surface such that if any two points on that surface are connected by a line, any point on that line will also be on the surface. |
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| a LINE that intersects two COPLANAR lines at TWO distinct points |
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| two coplanar lines that do not intersect |
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| two noncoplanar lines that do not intersect |
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| maximum number of points that must be on a surface |
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| In parallel lines, must be congruent |
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| alternate interior angles, alternate exterior angles, corresponding angles |
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