Chapter 2 Flashcards

0
Q

Ray

A

The ray AB consists of the initial point a and all points on line AB that lie on the same side of a as B lies

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1
Q

Line segment

A

Segment AB consists of the endpoints a and B all-points on the line AB that lie between a and B

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2
Q

Opposite rays

A

On the line AB, if C is between a and B then CA and CB are opposite rays

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3
Q

Collinear

A

Points, segments, or rays on the same line

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4
Q

Angle

A

Consists of two different rays that have the same initial point. the rays are the sides of the angle and the initial point is the vertex of the angle

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5
Q

Interior of an angle

A

A point that lies between the sides of the angle

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6
Q

Exterior of an angle

A

A point that is not on or inside of the angle

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7
Q

Adjacent angle

A

Two angles are adjacent if they share a common vertex and side but have no common interior points

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8
Q

Congruent segments

A

Two segments that have the same length

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9
Q

Congruent angles

A

Two angles that have the same measure

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10
Q

Segment bisector

A

A segment, ray, line or ray that intersects a segment at its midpoint

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11
Q

Angle bisector

A

A ray that divides the angle into two congruent angles

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12
Q

Perpendicular lines

A

Two lines that intersect to form a right angle

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13
Q

A line is perpendicular to a plane if..

A

If it is perpendicular to each line in the plane that intersects it

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14
Q

Postulate 5

Through any two distinct points…

A

Through any two distinct points there exists exactly one line

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15
Q

Post 6 a line contains…

A

At least two points

16
Q

Post 7 through any three noncollinear points…

A

There exists exactly one plane

17
Q

Post 8 a plane contains…

A

At least three points

18
Q

Post 9 if two distinct points lie in a plane…

A

Then the line containing them lies in the plane

19
Q

Post 10 if two distinct planes intersect…

A

Them their intersection is a line

20
Q

Vertical angles

A

Two angles whose sides form two pairs of opposite rays

21
Q

Linear pair

A

Two adjacent angles whose noncommon sides are opposite rays

22
Q

Complementary angles

A

Two angles are complementary if the sum of their measures is 90°

23
Q

supplementary angles

A

Two angles are supplementary if the sum of the angles equals 180°

24
Q

Linear pair postulate

A

If two angles form a linear pair then they are supplementary

25
Q

Congruent supplements theorem

A

If two angles are supplementary to the same angle or congruent angles than they are congruent

26
Q

Congruent complements theorem

A

If two angles are complementary to the same angle or congruent angles then they are congruent

27
Q

Vertical angles theorem

A

If two angles are vertical angles then they are congruent