Unit 1

Question 1

Point

Answer 1

Location, like a dot on a map or computer

Question 2

Line

Answer 2

Infinite set of points, the idea of straightness

Question 3

Plane

Answer 3

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

Question 4

Space

Answer 4

set of all points

Question 5

Collinear points

Answer 5

points that all lie on the same line

Question 6

Coplanar points

Answer 6

points that all lie on the same plane

Question 7

Intersection

Answer 7

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

Question 8

Line segment/ segment LINE AB

Answer 8

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

Question 9

RAY AB

Answer 9

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

Question 10

Opposite Rays

Answer 10

Start on same point, goes in different directions

Question 11

————————————>
A B

Answer 11

Ray, RAY AB

Question 12

<—————–————-————*—————->
A C B

Answer 12

Opposite ray= RAY CA and RAY CB

Question 13

Postulate

Answer 13

Statement that’s accepted as truth without proof

Question 14

Postulate #1

Answer 14

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.

Question 15

Length of the line?

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

Answer 15

|-1-5|= 6

6 units

Question 16

Postulate #2

Answer 16

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

Question 17

Congruent segments

Answer 17

Segments that have the same lengths, symbol ≌

Question 18

Midpoint of a segment

Answer 18

The point that divides the segment into 2 congruent segments

Question 19

Bisector of a segment

Answer 19

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

Question 20

Angle

Answer 20

Consists of 2 different rays that have the same initial point

Question 21

Sides of the angle

Answer 21

Rays

Question 22

Vertex of the angle

Answer 22

initial point

Question 23

Measure of an angle

Answer 23

m<a

Question 24

Congruent angles

Answer 24

angles that are equal in measure

Question 25

Between

Answer 25

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

Question 26

Postulate #4

Answer 26

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

Question 27

Linear pair postulate

Answer 27

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

Question 28

Adjacent Angles

Answer 28

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

Question 29

Postulate #5

Answer 29

-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

Question 30

Postulate #6

Answer 30

Through any two points there is exactly one line

Question 31

Postulate #7

Answer 31

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

Question 32

Postulate #8

Answer 32

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

Question 33

Postulate #9

Answer 33

If two planes intersect, then their intersection is a line

Question 34

Theorems

Answer 34

Important statements in geometry that are proved

Question 35

Theorem #1

Answer 35

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

Question 36

Theorem #2

Answer 36

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

Question 37

Theorem #3

Answer 37

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

Question 38

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

Answer 38

False

Question 39

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

Answer 39

False

Question 40

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

Answer 40

False

Question 41

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

Answer 41

True

Question 42

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

Answer 42

True

Question 43

If two planes intersect, then their intersection is a line

Answer 43

True