Unit A Flashcards

0
Q

Space

A

Set of all points

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1
Q

Point

A

It is a location that doesn’t have a size. It’s represented by a small dot and it is named by a capital letter.

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2
Q

Line

A

It is a series of points that extends in two opposite directions without an end. It is named by any two points on a line or with a single lowercase letter.

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3
Q

Collinear Points

A

Points that lie on the same line

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4
Q

Plane

A

It is a flat surface that has no thickness. It contains many lines and extends without end in the direction of all its lines. It is named by at least 3 non - collinear points or a single capital letter.

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5
Q

Coplanar

A

Points and lines in the same plane

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6
Q

Postulate/Axiom

A

Accepted statement or fact

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7
Q

Segment

A

It is a part of a line consisting of 2 endpoints and all points in between them.

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8
Q

Ray

A

Part of a line consisting of 1 endpoint and all the points of the line on one side of the endpoint.

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9
Q

Opposite Rays

A

Two collinear rays with the same endpoint. Opposite rays always form a line.

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10
Q

Parallel Lines

A

Coplanar lines that do not intersect.

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11
Q

Skew Lines

A

Non-coplanar lines that are not parallel and they do not intersect.

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12
Q

Parallel Planes

A

Planes that do not intersect

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13
Q

Congruent Segments

A

Two segments with the same length

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14
Q

Midpoint

A
  • a point that divides a segment into 2 segments.
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15
Q

Angle

A

Formed by 2 rays with the same endpoint

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16
Q

Congruent Angles

A

Angles with the same measure

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17
Q

Postulate 1-1

A

Through any 2 points there is exactly 1 line

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17
Q

Postulate 1-2

A

If 2 lines intersect, then they intersect in exactly 1 point

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18
Q

Postulate 1-3

A

If 2 planes intersect, then they intersect in exactly 1 line

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18
Q

Postulate 1-4

A

Through any 3 collinear points there is exactly 1 plane

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21
Q

Ruler Postulate

A

The points of a line can be put into 1-1 correspondence with the real numbers so that the distance between any 2 points is the absolute value of the difference of the corresponding numbers.

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22
Q

Segment Addition Postulate

A

If 3 points A, B, and C are collinear and B is between A and C, then
AB + BC = AC.

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23
Q

Bisect

A

A line, ray, or other segment through a midpoint.

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25
Perpendicular Lines
2 lines that intersect to form right angles
26
Angle Bisector
Ray that divides an angle into 2 congruent coplanar angles. Its endpoint is at the angle vertex. Within a ray, a segment with the same endpoint is also an angle bisector. The ray or segment bisects the angle.
27
Perpendicular Bisector
Line, segment, or ray that is perpendicular to the segment at its midpoint, which bisects the segment into 2 congruent segments.
28
Compass
Geometric tool used to draw circles and parts of circles called arcs
29
Construction
Use a straightedge and a compass to draw a geometric figure.
29
Straightedge
Ruler with no markings on it
30
Protractor Postulate
Rays can be paired with degrees on protractors
31
Angle Addition Postulate
m
32
Theorem
Statement that must be justified with logical reasoning
33
Vertical Angle Theorem
Vertical angles are congruent
34
Congruent Complements Theorem
If 2 angles are complements of the same angle, then they are congruent.
35
Congruent Supplements Theorem
If 2 angles are supplements of the same angle, then they are congruent.
36
Theorem 2-4
All right angles are congruent
37
Theorem 2-5
If 2 angles are congruent and supplementary, then they are right angles
38
Vertical Angle
2 angles whose sides form opposite rays. | They are non-adjacent angles that are formed by intersecting lines.
39
Adjacent Angle
2 coplanar angles that have a common vertex, common side, and no common interior points.
40
Complementary Angle
2 angles that have measures that add up to 90 degrees.
41
Supplementary Angle
2 angles with a sum of 180 degrees
42
Linear Pair of Angles
2 angles that are adjacent and supplementary.
43
Interior Angle
Angles that lie between the 2 lines
44
Exterior Angles
Angles that lie outside the 2 lines
45
Alternate Interior Angles
Angles that are on opposite sides of the transversal and are between the 2 lines
46
Alternate Exterior Angles
Angles that are on opposite sides of the transversal and are outside the 2 lines
47
Same Side Interior Angles
Angles that lie between the 2 lines and are on the same side of the transversal
48
Same Side Exterior Angles
Angles that are on the same side of the transversal and lie outside the 2 lines
49
Corresponding Angles
Angles that are on the same side of the transversal and have corresponding positions
50
Corresponding Angles Postulate
If a transversal intersects 2 parallel lines, then corresponding angles are congruent.
51
Alternate Interior Angles Theorem
If a transversal intersects 2 parallel lines, then alternate interior angles are congruent.
52
Alternate Exterior Angles Theorem
If a transversal intersects 2 parallel lines, then alternate exterior angles are congruent.
53
Same Side Interior Angles
If a transversal intersects 2 parallel lines, then same side interior angles are supplementary.
54
Same Side Exterior Angles Theorem
If a transversal intersects 2 parallel lines, then same side exterior angles are supplementary.
55
Addition Property
If a=b, then a+c=b+c
56
Subtraction Property
If a=b, then a-c=b-c
57
Multiplication Property
If a=b, then a times c=b times c
58
Division Property
If a=b, then a/c=b/c
59
Reflexive Property
Any geometric figure is congruent to itself.
60
Symmetric Property
If one figure is congruent to another figure, then the second figure is congruent to the first. If
61
Transitive Property
If one figure is congruent to the second figure and the second figure is congruent to the third figure, then the first figure is congruent to the third.