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Def. of Complementary Angles |
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Two angles whose measures have the sum 90 degrees. |
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Def. of Supplementary Angles |
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Two angles whose measures have the sum 180 degrees. |
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Def. of Perpendicular Lines |
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Two intersecting lines that form right angles. |
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If M is the midpoint of segment AB, then AM = 1/2 AB and MB = 1/2 AB |
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If Ray BX is the bisector of Angle ABC, then mAngle ABX = 1/2 mAngle ABC and mAngle XBC = 1/2 mAngle ABC. |
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Vertical Angles are congruent. |
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If two lines are perpendicular, |
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then they form congruent adjacent angles. |
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If two lines form congruent adjacent angles, |
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then the lines are perpendicular. |
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If the exterior sides of two adjacent acute angles are perpendicular, |
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then the angles are complementary. |
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If two angles are supplements of congruent angles or of the same angle, |
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then the two angles are congruent. |
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If two angles are complements of congruent angles or of the same angle, |
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then the two angles are congruent. |
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Definition
If a = b and c = d, then a + c = b + d. |
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If a = b and c = d, then a - c = b - d. |
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Definition
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If a = b and c is not equal to 0, then a/c = b/d. |
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Substitution Property (CAN ONLY BE USED IN = !!!) |
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Definition
If a = b, then either a or b may be substituted for the other in any equation. |
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If a = b and b = c, then a = c. |
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Segment DE is congruent to Segment DE or Angle D is congruent to Angle D. |
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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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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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