Term
| If B is between A and C, then AB+BC=AC. |
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Definition
| Segment Addition Postulate |
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Term
| If two segments are congruent, then their lengths are equal. |
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Definition
| Congruent segments -> equal lengths |
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Term
| If a point is the midpoint of a segment, then it divides the segment into two congruent segments. |
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Definition
| Midpoint -> 2 congruent segments |
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Term
| If a line, segment, ray, or plane is a segment bisector, then it intersects the segment at its midpoint. |
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Definition
| Segment bisector -> intersect at midpoint |
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Term
If B lies in the interior of angle AOC, then the measure of angle AOB+measure of angle BOC=the measure of angle AOC
If angle AOC is a straight angle and B is any point not on line AC, then the measure of angle AOB+the measure of angle BOC=180. |
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Definition
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Term
| If two angles are congruent, then their measures are equal. |
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Definition
| equal measures -> congruent angles |
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Term
| Definition of Adjacent Angles |
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Definition
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Term
| If an angle is a right angle, then its measure is 90. |
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Definition
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Term
| If a ray is an angle bisector, then it divides the angle into two congruent adjacent angles. |
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Definition
| angle bisector -> 2 congruent adjacent angles |
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Term
| if M is the midpoint of segment AB, then AM=0.5AB and MB=0.5AB |
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Definition
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Term
| If ray BX is the bisector of angle ABC, then the measure of angle ABX=1/2 the measure of angle ABC and the measure of angle XBC= 1/2 the measure of angle ABC |
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Definition
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Term
| if two angles are complementary, then the sum of their measures is 90. |
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Definition
| complimentary angles -> sum of 90 |
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Term
| If two angles are supplementary, then the sum of their measures is 180. |
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Definition
| supplementary angles -> sum of 180 |
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Term
| Definition of Vertical Angles |
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Definition
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Term
| Vertical angles are congruent. |
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Definition
| Vertical angles are congruent. |
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Term
| If two lines are perpendicular, then they intersect to form right angles |
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Definition
| Perpendicular lines -> right angles |
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Term
| All right angles are congruent. |
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Definition
| All right angles are congruent. |
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Term
| If two lines are perpendicular, then they form congruent adjacent angles. |
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Definition
| Perpendicular lines -> congruent adjacent angles |
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Term
| If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary. |
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Definition
| exterior sides of adjacent angles are perpendicular -> complementary angles |
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Term
| if two angles are supplements of the same angle or congruent angles, then the two angles are congruent. |
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Definition
2 angles supplement same angle -> congruent angle
2 angles supplement congruent angles -> congruent angle
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Term
| If two angles are complements of the same angle or congruent angles, then the two angles are congruent. |
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Definition
2 angles complement same angle -> congruent angles
2 angles complement congruent angles -> congruent angles |
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