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
Congruent Supplements Theorem
If 2 angles are supplementary to the same angles (or congruent angles) then they are congruent.
26
Vertical Angles Congruence Theorem
Vertical angles are congruent
27
Linear Pair Postulate
If two angles form a linear pair then they are supplementary
28
Adjacent Angles
two angles that share a common vertex and a common side but do not overlap
29
Congruent
Angles that have equal measure