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46 Cards in this Set
- Front
- Back
Through any 2 points ________
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there exists one line.
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A line contains ______
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at least 2 points.
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If two lines intersect, _____
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then their intersection is exactly one point.
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Through any three noncollinear points _____
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there exists exactly one plane.
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A plane contains ____
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at least three noncollinear points.
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If two points lie in a plane, ____
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then the line containing them lies in the plane.
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If two planes intersect, ____
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then their intersection is a line.
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If two angles from a linear pair,____
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then they are supplementary.
Linear Pair Postulate |
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If there is a line and a point not on the line,_____
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then there is exactly one line through the point parallel/perpendicular to the given line.
Parallel/Perpendicular Postulate |
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If two parallel lines are cut by a transversal,_____
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then the corresponding angles-
/AIA/AEA/slopes are congruent, CIA are supplementary Corresponding Angles Postulate |
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If two lines are cut by a transversal like the corresponding angles-/AIA/AEA/slopes are congruent, CIA are supplementary__
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then the lines are parallel
Corresponding Angles Converse |
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In a coordinate plane, two nonvertical lines are parallel if and only if____
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they have the same slope. Any two vertical lines are parallel.
Slopes of Parallel Lines |
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In a coordinate plane, two nonvertical lines are perpendicular if and only if___
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the product of their slopes is -1. Vertical and horizontal lines are perpendicular.
Slopes of Perpendicular Lines |
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SSS Congruence Postulate
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If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent.
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SAS Congruence Postulate
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If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangle are congruent.
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ASA Congruence Postulate
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If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.
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All right angles___
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are congruent.
Right Angle Congruence Theorem |
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If two angles are supplementary to the same angle___
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then they are congruent.
Congruent Supplements Theorem |
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If two angles are complementary to the same angle_____
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then the two angles are congruent.
Congruent Complements Theorem |
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Vertical Angles Theorem
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Vertical angles are congruent.
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If two lines intersect to form a linear pair of congruent angles,___
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then the lines are perpendicular.
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If two sides of two adjacent acute angles are perpendicular,___
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then the angles are complementary.
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If a transversal is perpendicular to one of two parallel lines,_____
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then it is perpendicular to the other.
Perpendicular Transversal |
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If two lines are parallel to the same line,___
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then they are parallel to each other.
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In a plane, if two lines are perpendicular to the same line,___
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then they are parallel to each other.
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The sum of the measures of the interior angles of a triangle___
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is 180 degrees.
Triangle Sum Theorem |
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The measure of an exterior angle of a triangle____
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is equal to the sum of the measures of the two nonadjacent interior angles.
Exterior Angle Theorem |
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The acute angles of a right triangle____
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are complementary.
Corolary |
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If two angles of one triangle are congruent to two angle of another triangle_____
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then the third angles are also congruent.
Third Angles Theorem |
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AAS Congruence Theorem
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If two angles and nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of a second triangle, then the two triangles are congruent.
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If two sides of a triangle are congruent,_____
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then the angles opposite them are congruent.
Base Angles Theorem |
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If a triangle is equilateral,____
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then it is equiangular.
Corollary |
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If a triangle is equiangular____
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then it is equilateral.
Corollary |
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If two angles of a triangle are congruent,____
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then the sides opposite them are congruent.
Converse Base Angles Theorem |
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HL Congruence Theorem
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If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second triangle, then the two angles are congruent.
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if a=b, then c-a=c-b
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Subtraction Property
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if a=b, then ca=cb where c does not = 0
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Multiplication Property
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if a=b, then c+a=c+b
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Addition Property
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if a=b, then c/a=c/b where a,b, and c does not = 0
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Division Property
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a(b+c)=ab+ac
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Distributive Property
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x=x
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Reflexive Property
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if a=b and b=c than a=c
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Transitive Property
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(a+b)+c=a+(b+c)
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Associative Property
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a+b+c=c+a+b
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Communitive Property
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if a=b the a can replace b
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Substitution Property
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if a=b then b=a
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Symmetric Property
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