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51 Cards in this Set

  • Front
  • Back
Segment Addition Postulate
If B is between A and C,then AB+BC=AC. If AB+BC=AC, then B is between A and C.
Angle Addition Postulate
If P is in the interior of ∠RST, then m∠RSP+m∠PST=m∠RST.
N/A
Through any two points there exists exactly one line.
N/A
A line contains at least two points.
N/A
If two lines intersect, then their intersection is exactly one point.
N/A
Through any three noncollinear points there exists exactly one plane.
N/A
A plane contains at least three noncollinear points.
N/A
If two points lie in a plane, then the line containing them lies in the plane.
N/A
If two planes intersect, then their intersection is a line.
Linear Pair Postulate
If two angles form a linear pair, then they are supplementary.
Parallel Postulate
If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.
Perpendicular Postulate
If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line.
Corresponding Angles Postulate
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
Corresponding Angles Converse
If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.
Slopes of Parallel Lines
In a coordinate plane, two nonvertical lines are parallel if and only if they have the same slope. Any two vertical lines are parallel.
Slopes of Perpendicular Lines
In a coordinate plane, two nonvertical lines are perpendicular if and only if the product of their slopes is -1. Vertical and horizontal lines are perpendicular.
Side-Side-Side Congruence Postulate
If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent.
Side-Angle-Side Congruence Postulate
If two sides and the included side of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.
Angles-Side-Angle Congruence Postulate
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.
Area of a Square Postulate
The area of a square is the square of the length of its side, or A=s².
Area Congruence Postulate
If two polygons are congruent,then they have the same area.
Area Addition Postulate
The area of a region is the sum of the areas of its nonoverlapping parts.
Angle-Angle Similarity Postulate
If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.
Arc Addition Postulate
The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs.
Volume of a Cube
The volume of a cube is the cube of the length of its side.
Volume Congruence Postulate
If two polyhedra are congruent, then they have the same volume.
Volume Addition Postulate
The volume of a solid is the sum of the volumes of all its nonoverlapping parts.
Properties of Segment Congruence
Segment congruence is reflexive, symmetric, and transitive.
Properties of Angle Congruence
Angle congruence is reflexive, symmetric, and transitive.
Right Angle Congruence Theorem
All right angles are congruent.
Congruent Supplements Theorem
If two angles are supplementary to the same angle then they are congruent.
Congruent Supplements Theorem
If two angles are complementary to the same angle then the two angles are congruent.
Vertical Angles Theorem
Vertical angles are congruent.
N/A
If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.
N/A
If two sides of two adjacent acute angles are perpendicular, then the angles are complementary.
N/A
If two lines are perpendicular, then they intersect to form four right angles.
Alternate Interior Angles
If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
Consecutive Interior Angles
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.
Alternate Exterior Angles
If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.
Perpendicular Transversal
If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other.
Alternate Interior Angles Converse
If two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel.
Consecutive Interior Angles Converse
If two lines are cut by a transversal so that consecutive interior angles are supplementary, then the lines are parallel.
Alternate Interior Angle Converse
If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel.
N/A
If two lines are parallel to the same line, then they are parallel to each other.
N/A
In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.
Triangle Sum Theorem
The sum of the measures of the interior angles of a triangle is 180°.
Exterior Angle Theorem
the measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles.
Third Angles Theorem
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.
Reflexive Property of Congruent Triangles
Every triangle is congruent to itself.
Symmetric Property of Congruent Triangles
If △ABC congruent △DEF, then △DEF congruent △ABC
Transitive Property of Congruent Triangles
If △ABC congruent △DEF and △DEF congruent △JKL, then △ABC congruent △JKL.