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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 |
Created by:
sjmbates
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