Propertys Ect. Flashcards

0
Q

Subtraction property

A

If equals are subtracted from equals the results are equal

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1
Q

Addition property

A

If equals are added to equals the results are equal

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2
Q

Multiplication property

A

If equals are multiplied by equals the results are equal

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3
Q

Division property

A

If equals are divided by non-zero equals their quotients are equal

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4
Q

Substitution property

A

If a=b than either a or b may be substituted for the other in any other equation

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5
Q

Transitive property

A

If two equals are equal to the same quantity than they are equal to each other. a=b, b=c, than a=c

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6
Q

Reflexive property

A

Any quantity is equal to itself

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7
Q

Symmetric property

A

The positions of the expressions on either side of an equals sign may be reversed

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8
Q

Adjacent angles

A

Adjacent angles are angles that have the same vertex, share a common side, and have no interior points in common

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9
Q

Complimentary angles

A

Complementary angles are angles with measures that add to 90

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10
Q

Supplementary angles

A

Supplementary angles are angles with measures that add to 180

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11
Q

A linear pair

A

A linear pair is two adjacent angles whose exterior sides form a straight line

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12
Q

Vertical angles

A

Vertical angles are a pair of nonadjacent angles formed by two intersecting lines

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13
Q

Perpendicular lines

A

Perpendicular lines are lines which intersect to form right angles

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14
Q

perpendicular bisector

A

A perpendicular bisector is a line that is perpendicular to a line segment and intersects the line segment at its midpoint

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15
Q

Theorem 1

A

Of two angles are complimentary to the same angle or equal angles, then they are equal

16
Q

Theorem 2

A

If two angles are supplementary to the same angle or equal angles, they are equal

17
Q

Theorem 3

A

If two angles are a linear pair, then they are supplementary

18
Q

Theorem 4

A

Pairs of vertical angles are equal

19
Q

Theorem 5

A

Perpendicular lines intersect to form 4 right angles

20
Q

Theorem 6

A

All right angles are equal

21
Q

Theorem 7

A

Through a given point on a line, there exists exactly one perpendicular to the given line

22
Q

Theorem 8

A

If the exterior sides of a pair of adjacent angles are perpendicular, the angles are complimentary

23
Q

Definition 20

A

Vertical angles are a pair of nonadjacent angles formed by two intersecting lines

24
Q

Theorem 4

A

Pairs of vertical angles are equal