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Geo :/ > Unit 1 > Flashcards

Unit 1 Flashcards

1
Q

Point

A

Location, like a dot on a map or computer

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2
Q

Line

A

Infinite set of points, the idea of straightness

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3
Q

Plane

A

Infinite set of points, idea of flatness extending in all directions

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4
Q

Space

A

set of all points

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5
Q

Collinear points

A

points that all lie on the same line

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6
Q

Coplanar points

A

points that all lie on the same plane

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7
Q

Intersection

A

of 2 figures, it is the set of points that both figures have in common

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8
Q

Line segment/ segment LINE AB

A

LINE AB consists of the endpoints of A & B and all points on LINE AB that are between A & B

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9
Q

RAY AB

A

initial point A and all points on RAY AB that lie on the same side of A as point B

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10
Q

Opposite Rays

A

Start on same point, goes in different directions

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11
Q

————————————>
A B

A

Ray, RAY AB

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12
Q

<—————–————-————*—————->
A C B

A

Opposite ray= RAY CA and RAY CB

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13
Q

Postulate

A

Statement that’s accepted as truth without proof

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14
Q

Postulate #1

A

Ruler Postulate - Points in a line can be matched with 1:1 real numbers. The real number corresponds to a point is the coordinate of the point

The distance between points A & B is written as LINE AB. It is calculated as the absolute value of the difference between the coordinates of A & B. This is called the length of LINE AB

EX:
5 Units
—————————-
<–|—-|—-|—-|—-|—-|—-|—-|—>
1 2 3 4 5 6 7 8

|2-7|=5, this means the line’s length is 5 units long.

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15
Q

Length of the line?

 *---------------------------------* <--|----|----|----|----|----|----|----|--->
-1    0     1     2     3     4     5     6
A

|-1-5|= 6

6 units

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16
Q

Postulate #2

A

Segment Addition Postulate - If B is between A & C, then AB + BC = AC, if Ab + BC = AC, then B is between A & C

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17
Q

Congruent segments

A

Segments that have the same lengths, symbol ≌

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18
Q

Midpoint of a segment

A

The point that divides the segment into 2 congruent segments

19
Q

Bisector of a segment

A

a line, segment, ray, or plane that intersects the segment at its midpoint

20
Q

Angle

A

Consists of 2 different rays that have the same initial point

21
Q

Sides of the angle

A

Rays

22
Q

Vertex of the angle

A

initial point

23
Q

Measure of an angle

A

m<a

24
Q

Congruent angles

A

angles that are equal in measure

25
Q

Between

A

a point that is on a line between two other lines

EX:
Point B IS between points A & C

<——————-—————–*———>
A B C

Point B IS NOT between points A & C

<————————————-———>
A C
*
B

26
Q

Postulate #4

A

Angle Addition Postulate

If point B lies in the interior of ∠AOC then
m∠AOB + m∠BOC = m∠AOC

27
Q

Linear pair postulate

A

If ∠AOC is a straight angle and B is any point not on AC, then
m∠AOB + m∠BOC = 180

28
Q

Adjacent Angles

A

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

29
Q

Postulate #5

A

-A line contains at least two points
-A plane contains at least three points not all in one line
-Space contains at least four points not all in one place

30
Q

Postulate #6

A

Through any two points there is exactly one line

31
Q

Postulate #7

A

Trough any three points there is at least one (infinite) plane, nd through any three noncollinear points there is exactly one plane (only one).

32
Q

Postulate #8

A

If two points are in a plane, then the line that contains the points is in that plane

33
Q

Postulate #9

A

If two planes intersect, then their intersection is a line

34
Q

Theorems

A

Important statements in geometry that are proved

35
Q

Theorem #1

A

If two lines intersect, then they intersect in exactly one point

36
Q

Theorem #2

A

Through a line and a point not in the line there is exactly one plane

37
Q

Theorem #3

A

If two lines intersect, then exactly one plane contains the lines

38
Q

TRUE OR FALSE: Two points can lie in each of two different lines

A

False

39
Q

TRUE OR FALSE: Three noncollinear points can lie in each of two different planes

A

False

40
Q

TRUE OR FALSE: Three collinear points lie in only one plane

A

False

41
Q

TRUE OR FALSE: Two intersecting lines are contained in exactly one plane

A

True

42
Q

If two lines intersect, then they intersect in exactly one point

A

True

43
Q

If two planes intersect, then their intersection is a line

A

True

Geo :/ (17 decks)

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