GeoOo Flashcards

1
Q

Angle addition postulate

A

m< ABD + m< DBC= m<ABC

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2
Q

Linear pair postulate

A

If two angle form a linear pair, then they are supplementary

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3
Q

Vertical angles theorem

A

IF two angles are vertical angles then they are congruent

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4
Q

Right Angle Congruence Theorem

A

If two angles are right angles then they are congruent

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5
Q

Congruent complements Theorem

A

Congruent supplements theorem If two angles are complementary to the same angle (or congruent angles) then they are congruent.

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6
Q

Congruent supplements Theorem

A

If two angles are supplementary to the same angle (or congruent angles) then they are congruent.

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7
Q

Definition of congruent segments

A

Segments are congruent if and only if they have the same measure

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8
Q

Definition of Segment Bisector

A

The bisector of a segments divides the segment into 2 congruent parts

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9
Q

Definition of Midpoint

A

The midpoint of a segment divides the segment into 2 equal (congruent parts)

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10
Q

Definition of Congruent Segments

A

Segments are congruent if and only if they have the same measure

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11
Q

Definition of Congruent Angles

A

Angles are congruent if and only if they have the same measure

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12
Q

Definition of Perpendicular Lines

A

Perpendicular lines form right angles

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13
Q

Addition POE

A

You can add the same number (C) to both sides of an equation (a and b) and the equation will still be true.

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14
Q

Subtraction POE

A

If you subtract the same number from both sides of an equation, the equality remains true

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15
Q

Multiplication POE

A

If you multiply both sides of an equation by the same number, the resulting equation remains equal

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16
Q

Division POE

A

If you divide both sides of an equation by the same number, the resulting equation remains true.

17
Q

Substitution POE

A

If two variables are equal then you can replace one with the other in any equation or expression

18
Q

Reflexive POE

A

A value or quantity is equal to itself, in the same order.

19
Q

Transitive POE

A

if a is equal to b, and b is equal to c, then a is equal to c

20
Q

Symmetric POE

A

If two expression are equal then the expression remain equal even if their sides are switched.s

21
Q

Reflexive POC

A

States that any geometric figure is congruent to itself= a line segment is congruent to itself

22
Q

Transitive POC

A

If two geometric shapes are congruent to a third shape, then the first two shapes are also congruent to each other

23
Q

Right Angle Congruence Theorem

A

All right angles are congruent

24
Q

Congruent Complements Theorem

A

If 2 angles are complementary to the same angles (or congruent angles) then they are congruent.

25
Q

Congruent Supplements Theorem

A

If 2 angles are supplementary to the same angles (or congruent angles) then they are congruent.

26
Q

Vertical Angles Congruence Theorem

A

Vertical angles are congruent

27
Q

Linear Pair Postulate

A

If two angles form a linear pair then they are supplementary

28
Q

Adjacent Angles

A

two angles that share a common vertex and a common side but do not overlap

29
Q

Congruent

A

Angles that have equal measure