Term
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Definition
| If M is the midpoint of AB, then AM = MB = 1/2 AB |
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Term
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Definition
| M is the midpoint of AB if, and only if, M, A and B are collinear and AM is congruent to MB |
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Term
| Definition of Segment Congruency |
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Definition
| AB = CD if and only if AB is congruent to CD |
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Term
| Definition of Angle Bisector |
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Definition
| BD bisects angle ABC if and only if angle ABC is congruent to DBC |
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Term
| Segment Addition Postulate |
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Definition
| B is between A and C if and only if AB+CD=AC |
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Term
| Reflexive Property of Segment Congruency |
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Definition
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Term
| Symmetric Property of Segment Congruency |
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Definition
| if AB is congruent to CD, then CD is congruent to AB |
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Term
| Transitive property of Segment Congruency |
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Definition
| If AB is congruent to CD, and CD is congruent to EF, then AB is congruent to EF |
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Term
| Definition of Supplementary Angles |
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Definition
| 2 Angles are supplementary if they = 180º |
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Term
| Definition of Complementary Angles |
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Definition
| 2 Angles are complementary if they = 90º |
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Term
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Definition
| mPQR +mRQS = mPQS if and only if R is on the interior of PQS |
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Term
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Definition
| If 2 angles form a linear pair, they are supplementary |
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Term
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Definition
| If non-common sides of 2 adjacent angles form a right angle, the the angles are complementary |
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Term
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Definition
| Angles supplementary to same angle are supplementary |
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Term
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Definition
| Angles complementary to the same angle are complementary |
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Term
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Definition
| If 2 angles are vertical, then they are congruent |
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Term
| Corresponding Angles Postulate |
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Definition
| If 2 parallel lines are cut by a transversal, then the corresponding angles are congruent |
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Term
| Alternate Interior Angles Theorem |
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Definition
| If 2 parallel lines are cut by a transversal, then the alternate interior angles are congruent |
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Term
| Consecutive Interior Angles Theorem |
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Definition
| If 2 parallel lines are cut by a transversal, then the consecutive interior angles are congruent |
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Term
| Perpendicular Transitive Theorem |
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Definition
| In a plane, if a line is perpendicular to 1 of the parallel lines, then it is perpendicular to the other |
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Term
| Converse of Corresponding Angles Postulate |
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Definition
| If corresponding angles are congruent, then lines are parallel |
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Term
| Converse of Alternate Interior Angles Theorem |
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Definition
| If Alternate Interior angles are congruent, then lines are parallel |
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Term
| Converse of Alternate Exterior Angles Theorem |
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Definition
| If Alternate Exterior angles are congruent, then lines are parallel |
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Term
| Converse of Consecutive Interior Angles Theorem |
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Definition
| If Consecutive Interior angles are congruent, then lines are parallel |
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Term
| Converse of Perpendicular Transitive Theorem |
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Definition
| If two lines are perpendicular to the same line, then they are parallel |
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Term
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Definition
| The sum of the three interior angles of a triangle=180º |
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Term
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Definition
| If two angles in one triangle are congruent to two angles in another triangle, then the third angles are congruent in both triangles |
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Term
| Exterior Triangle Theorem |
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Definition
| The measure of an exterior angle of a triangle is = to the sum of two opposite angles |
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Term
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Definition
| The acute angles of a right triangle are complementary |
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Term
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Definition
| There can be at most one obtuse or right angle in a triangle |
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Term
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Definition
| The incenter of a triangle is equidistant from each side of a triangle |
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Term
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Definition
| Any point on angle bisector is equidistant from sides of angle |
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Term
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Definition
| Any point equidistant from a side of angle is on angle bisector |
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Term
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Definition
| Any point on perpendicular bisector of a segment is equidistant from endpoint of segment |
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