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29 Cards in this Set
- Front
- Back
Addition Property |
a=b c=d ----------------- a + c = b + d |
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Subtraction Property |
a + c = b + d a = b ----------------- c = d |
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Multiplication Property |
a = b c = d ---------- ac = bd |
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Division Property |
a = b c = d ---------------- a / c = b / d |
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Substitution Property |
a = b a + c = d ------------ b + c = d |
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Angle Addition Postulate |
If B is in the interior of AOC, thenm∠AOB+m∠BOC=m∠AOC
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Reflexive Property |
a = a |
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Transitive Property |
a = b b = c ------- a = c |
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Symmetric Property |
a = b ------- b = a |
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Definition of a midpoint |
A midpoint divides a segment into two segments equal in measure |
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Midpoint |
A midpoint divides a segment into two segments, each half the length of the given segment |
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Definition of a bisector |
A bisector intersects a segment at its midpoint |
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Definition of an angle bisector |
A bisector of an angle divides an angle into two angles equal in measure. |
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Angle bisector |
An angle bisector divides an angle into two angles, each half the measure of the given angles. |
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Definition of perpendicular lines |
Perpendicular lines form right angles |
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Definition of complementary angles |
If two angles are complementary the sum of their angles is 90 degrees. |
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Definition of supplementary angles |
If two angles are supplementary, the sum of their measures is 180 degrees. |
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If the exterior sides of two adjacent angles are opposite rays, then the angles are |
Supplementary |
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If the exterior sides of two acute adjacent angles are perpendicular, then the angles are
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complementary.
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Complements of the same angle are
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equal in measure.
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Complements of angles equal in measure are
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equal in measure. |
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Supplements of the same angle are
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equal in measure. |
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Supplements of angles equal in measure are
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equal in measure. |
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Definition of linear pair
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used to state two angles form a linear pair in the diagram
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Definition of vertical angles
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used to state two angles are vertical angles in the diagram
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All right angles are
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equal in measure. |
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Vertical angles are
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equal in measure. |
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If two angles form a linear pair then they are
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supplementary.
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If two lines intersect to form adjacent congruent angles, then the lines are
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perpendicular.
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