Math-Logic and Proofs Unit-Postulates of Geometry, Arithmetic, and Equality Flashcards

1
Q

LIne Postulate

A

You can construct exactly one line through any two points; two points determine a line

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2
Q

Line Intersection Postulate

A

The intersection of two distinct lines is exactly one point

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3
Q

Segment Duplication Postulate

A

You can construct a segment congruent to another segment

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4
Q

Angle Duplication Postulate

A

You can construct an angle congruent to another angle

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5
Q

Midpoint Postulate

A

You can construct exactly one midpoint on any line segment

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6
Q

Angle Bisector Postulate

A

You can construct exactly one angle bisector in any angle.

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7
Q

Parallel Postulate

A

Through a point not on a given line, you can construct exactly one line parallel to the given line

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8
Q

Perpendicular Postulate

A

Through a point not on a given line, you can construct exactly one line perpendicular to the given line.

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9
Q

Segment Addition Postulate

A

If point B is on AC and between points A and C, then AB+BC=AC

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10
Q

Angle Addition Postulate

A

If point D lies in the interior of Angle ABC the and ABD+ angle DBC=angle ABC

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11
Q

Linear Pair Postulate

A

If two angles are a linear pair, then they are supplementary; also applies to linear trios.

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12
Q

Corresponding Angles Postulate

A

If two parallel lines are cut by a transversal forming congruent corresponding anlges, then the lines are parallel.

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13
Q

SSS, SAS, and ASA Congruence Postulate

A

If the afore mentioned values (S for side, A for angles), are congruent in two or more triangles, those triangles are congruent.

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14
Q
Bonus: What is a... (when E is an even integer and O is an odd integer)
ExE
ExO
OxO
E+E
E+O
O+O
A
Even
Even
Odd
Even
Odd
Even
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