Term
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Definition
| If a = b and c = d, then a c = b d. |
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Term
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Definition
| If a = b and c = d, then a - c = b - d. |
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Term
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Definition
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Term
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Definition
| If a = b and c ≠ 0, then a/c = b/c. |
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Term
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Definition
| If a = b, then either a or b may be substituted for the other in any equation (or inequality). |
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Term
| Reflexive Property of Equality |
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Definition
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Term
| Symmetric Property of Equality |
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Definition
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Term
| Transitive Property of Equality |
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Definition
| If a = b and b = c, then a = b. |
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Term
| Reflexive Property of Congruence |
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Definition
Segment DE is congruent to Segment DE.
Angle D is congruent to Angle D. |
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Term
| Symmetric Property of Congruence |
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Definition
If Segment DE is congruent to Segment FG, then Segment FG is congruent to Segment DE.
If Angle D is congruent to Angle E, then Angle E is congruent to Angle D. |
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Term
| Transitive Property of Congruence |
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Definition
If Segment DE is congruent to Segment FG and Segment FG is congruent to Segment JK, then Segment DE is congruent to Segment JK.
If Angle D is congruent to Angle E and Angle E is congruent to Angle F, then Angle D is congruent to Angle F. |
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Term
Theorem 2-1
Midpoint Theorem |
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Definition
| If M is the midpoint of Segment AB, then AM = 1/2AB and MB = 1/2AB. |
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Term
Theorem 2-2
Angle Bisector Theorem |
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Definition
| If ray BX is the bisector of angle ABC, then measured angle ABX = 1/2 measured angle ABC and measured angle XBC = 1/2 measured angle ABC. |
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Term
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Definition
| Vertical angles are congruent. |
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Term
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Definition
| If two perpendicular, then they form congruent adjacent angles. |
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Term
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Definition
| If two lines form congruent adjacent angles, then the lines are perpendicular. |
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Term
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Definition
| If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary. |
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Term
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Definition
| If two angles are supplements of congruent angles (or of the same angle), then the two angles are congruent. |
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Term
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Definition
| If two angles are complements of congruent angles (or of the same), then the two angles are congruent. |
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