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Chapter 2
Honors Geometry Chapter 2
23
Mathematics
9th Grade
09/09/2010

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Cards

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