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Space contains at least _ _ points. (what theorem?)
4 noncollinear; 9

A plane contains at least _ _points. (What postulate?)
3 noncollinear points; 9

a line containing at least _ points. (What postulate?)
2; 9

if 2 points line on a plane, then the line containing the points lies in the _. (What postulate?)
plane; 8

if two planes intersect then their intersection is a _. (What postulate?)
line; 7

if two lines intersect, then there exists exactly _ plane that contains them. (what theorem)
1; 43

If there is a line and a point not on the line, then exactly _ plane contains them. (what theorem?)
1; 42

how many points does a plane have? (also what postulate is this?)
3 noncollinear; 6

What is a line only?
a straight line

If two lines intersect, they will intersect at exactly _ point. (Also what THEOREM is this?)
1; 41

Through any two points there is exactly _line. (Also what postulate is this?)
1; 5

unlike postulates, theorems must be proved to be accepted as _.
true

ray that divides an angle into 2 congruent angles
angle bisector

to divide into 2 congruent parts
Bisect

The measurement of <RST=22 and M<TSU<69. Find m<RSU. (scratch paper)
91 degrees

What do you do in percent problems of postulate 4?
1) measure the angle with protractor. 2) put that # over the entire degrees of the circle. 3)multiply that by the # they give you

What postulate is it when if point D is in the interior of <ABC then m<ABD+m<DBC=m<ABC
Postulate 4: The angle addition postulate

what degrees is a straight angle?
180

what degrees is an obtuse?
more than 90, less than 180

what degrees is an acute angle?
less than 90

What degrees is a right angle?
90

What postulate is it when it says given a point X on PR, consider rays XP and XR as well as all the other rays that can be drawn with X as an endpoint on one side of PR. These rays can be paired with the real numbers 0180 such that: Xp is paired with 0and XR is paired with 180. If XA is paired with a C and XB is paired with an D then M<axb=1cd1
postulate 3: protractor postulate

a tool used to measure angles
protractor

what are the sides of the angles called?
rays

the common endpoint in the angle
vertex

a figure formed by 2 rays with a common endpoint
angle

how is a ray named?
by its endpoint and any other point on the ray

a part of a line that starts at an endpoint and extends infinitely in one direction
ray

Whats the formula for midpoint?
AB+BC=AC

the point that divides the segment into 2 congruent parts
Midpoint

What postulate is it when B is btween A and C then AB+BC=AC
Postulate 2: Segment addition postulate

Which postulate is it when the points on a line can be paired in one to one correspondence with the real #s such that: 1) any 2 given points can have coordinates 0 and 1 and 2) the distance btween 2 points is the absolute value of the difference of their coordinates?
postulate 1: the ruler postulate

Whats the formula for distance?
Absolute value of (point A point B)

the measure of the segment connecting 2 points. Always positive #
distance

AB ~= CD and CD ~= EF then AB ~= EF
transitive property of congruence

AB ~= CD then CD ~= AB
symmetric property of congruence

AB ~ AB
=
reflexive property of congruence

shows that segments are congruent
congruence statement

have the same length
congruent segments

two geometric objects that have the same size and shape are _.
congruent

a part of a line consisting of 2 endpoints and all points between them
line segment

what do planes intersect at?
a line

what do lines intersect at?
a point

the point or set of points in which 2 figures meet
intersection

lines or points that arent in the same plane
noncoplaner

lines or points that are in the same plane
coplaner

How is a plane named?
by an uppercase letter or 3 noncollinear points

flat surface that has no thickness and extends forever
plane

if points dont land on the same line
noncollinear

any set of points that lie on the same line
collinear points

How many points make up a line?
at least 2, yet can be infinite

a straight path that has no thickness and extends forever.
Line

Names a location and has no size
Point

What 3 terms define others?
Point, Line, and Plane

