click below
click below
Normal Size Small Size show me how
Bates Geom U1
Unit one vocabulary terms and concepts
Question | Answer |
---|---|
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 |