Geometry identify the property or postulate vocabulary Flashcards

0
Q

Reflexive property

A

Segment AB = Segment AB or <ABC= <BCA

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1
Q

Subtraction property

A

If a=b, then a-c=b-c

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2
Q

Substitution property

A

If a=b a can replace b or b can replace a
Ex: x+y=10 and x=2, then 2+y=10
Ex: x+y=10 and y=x,then y+y=10

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3
Q

Linear pair theorem

A

If <A and <B are a linear pair, then <A and <B are supplementary

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4
Q

Complementary angles

A

<A+<B=90°

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5
Q

Congruent angles or segments

A

<A is congruent to <B, which means <A=<B or segment AB is congruent to segment CD, which means segment AB= segment CD

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6
Q

Theorem

A

Any statement you can prove

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7
Q

Multiplication property

A

If a=b, then a(c)=b(c)

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8
Q

Symmetric property

A

If segment AB is congruent to segment to CD, them segment CD is congruent to segment AB

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9
Q

Segment addition postulate

A

segment AB + segment CD = segment AD

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10
Q

Midpoint

A

Segment DE is congruent EF; E is the _______

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11
Q

Angle bisector

A

A ray that divides an angle into two congruent angles.

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12
Q

Postulate

A

A statement that is accepted as true without proof. Also called an axiom.

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13
Q

Division property

A

If a=b, then a/c=b/c when c doesn’t =0

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14
Q

Transitive property

A

If <A is congruent to <B and <B is congruent to <C, then <A is congruent to <C or if segment AB is congruent to segment CD and CD is congruent to segment EF, then segment AB is congruent to EF

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15
Q

Angle addition postulate

A

M<ABC + M<CBD = M<ABD

16
Q

Supplementary angles

A

<A+<B=180°

17
Q

Segment bisector

A

A line, ray, or segment that divides a segment into two congruent segments.

18
Q

Proof

A

An argument that uses logic, definitions, properties, and previously proven statements to show that a conclusion is true

19
Q

Addition property

A

If a=b, the a+c=b+c