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Bates Geom U1

Unit one vocabulary terms and concepts

Equidistant Equally distant
The shape formed when finding all points that are 2 cm from a point Circle
Location in space that is infinitely small. Point
A point has this many dimensions. 0
A straight, infinitely thin, infinitely long geometrical object. Line
A line has this many dimensions. 1
A flat surface that is infinitely large and infinitely thin. Plane
A plane has this many dimensions 2
When a line can be drawn that includes all of the points, then the points are said to be this. Collinear
When a plane can be drawn that includes all of the points, then the points are said to be this. Coplanar
All collinear points are necessarily coplanar. True or False. True
All coplanar points necessarily are collinear. True or False. False.
Two planes always intersect at this. A line
AB (with no line above it) denotes what? The distance between A and B.
The distance formula is what? ABSOLUTE VALUE of (coordinate 1 - coordinate 2)
In Ray AC (pretend there's a ray above the A and the C), which point is the endpoint? A
Opposite rays must point 180 degrees from one another. True or False. True
Could Ray ST and Ray TR be opposite rays? No
This postulate says that you can always create a number by pairing two points to numbers and then using the distant between those two points to determine the location of other points? Ruler Postulate
What postulate says AB + BC = AC Segment Addition Postulate
Objects of the same shape and size are said to be this. Congruent
Segments of the same length. Congruent Segments
The point which divides a segment into two congruent segments. Midpoint of a Segment
The line, segment, ray, or plane that intersects a segment at its midpoint. Bisector of a Segment
Figure formed by two rays that share an endpoint. Angle
The vertex in angle ABC B
Angles less than 90 degrees Acute
Angles that are 90 degrees Right Angle
Angles between 90 and 180 degrees Obtuse Angle
Angles that are 180 degrees Straight Angle
If point B lies in the interior of angle AOC, then measure of angle AOB + measure of angle BOC = measure of angle AOC Angle Addition Postulate
Angles that have equal measures Congruent Angles
Two angles in a plane that share a vertex and a common side but no interior points (so they are next to each other) Adjacent Angles
The ray that divides an angle into two congruent, adjacent angles Bisector of an Angle
A bisector of an angle divides is a (WHAT?) that divides an angle into two (WHAT?) and (WHAT?) angles. ray, congruent, adjacent
True or False? Alex Webb has one eyeball. TRUE
True or False? Alex Webb has exactly one eyeball. FALSE
A line contains at least (HOW MANY?) points. 2
A plane contains at least (HOW MANY?) points. 3
A space contains at least (HOW MANY?) points. 4
Postulate 6: Through any two points there is exactly (HOW MANY?) line(s). 1
Postulate 7: Through any three points there is (LESS THAN/EXACTLY/AT LEAST) one plane. at least
Postulate 7: Through three collinear points there are (HOW MANY?) planes. infinitely many
Postulate 7: Through three non-collinear points, there is (LESS THAN/EXACTLY/AT LEAST) one plane. exactly
Postulate 7: You need this many points to define a plane 3
Postulate 8: If two points are in a plane, then the line that contains them is (ALWAYS/SOMETIMES/NEVER) in that plane. Always
Postulate 9: If two planes intersect, then their intersection is a (WHAT?) Line
Theorem 1-1: If two lines intersect, then they intersect in exactly one (WHAT?) point
Theorem 1-2: Through a line and a point not in the line, there is (HOW MANY?) plane(s). exactly one
Theorem 1-3: If two lines intersect, then (HOW MANY?) plane(s) contain(s) the lines. exactly one
Created by: sjmbates