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JRA Geometry Chptr 1
Chapter 1 = distant, Planes, Segments, Angles, Postulates + Theorems
| Question | Answer |
|---|---|
| Equally distant. | Equidistant |
| A location that has no length, width, and thickness. (Labeled + named with capital letter) | Point |
| An infinite set of points that extends in two directions. (Named by lowercase letter or two points on line) | Line |
| An infinite set of points that creates a flat surface and extends without ending. (Named by capital letter or vertices) | Plane |
| A plane that has its two longest sides going left and right. | Horizontal plane |
| A plane that has its two longest sides going up and down. | Vertical plane |
| The set of all points. | Space |
| Points on the same line. | Collinear |
| Points not on the same line. | Noncollinear |
| Points in the same plane. | Coplanar |
| Points not in the same plane. | Noncoplanar |
| The set of points in both figures. | Intersection |
| This is named by giving its endpoints. | Segment |
| This is named by giving its endpoint and another point on it. (Endpoint always comes first) | Ray |
| Rays that share a common endpoint, but go off in opposite directions. | Opposite rays |
| Another word for distance. | Length |
| The length of a segment on a number line can be found by finding the absolute value of the difference of its endpoints' coordinates. The length must be positive. | Ruler Postulate |
| If point B is between points A and C on segment AC, then the segment AB added to the segment BC can get you the length of segment AC. | Segment Addition Postulate |
| Having the same size and shape. | Congruent |
| This divides a segment into two congruent segments. | Midpoint of a segment |
| A line, segment, ray, or plane that intersects a segment at its midpoint. | Bisector of a segment |
| A figure formed by two rays with the same endpoint. | Angle |
| The two rays that make and angle. | Sides of an angle |
| The point where the two rays meet to make an angle. | Vertex of an angle |
| The degrees of an angle. | Measure of an angle |
| You can find the measure in degrees of an angle by using a protractor to find the absolute value of the difference of the sides of the angle. | Protractor Postulate |
| An angle that is greater than 0 and less than 90. | Acute angle |
| An angle that is greater than 90 and less than 180. | Obtuse angle |
| An angle that is exactly 90 degrees. | Right angle |
| An angle that is exactly 180 degrees. | Straight angle |
| If a point D lies in the interior of an angle ABC, then the measure of angle ABD added to the measure of angle DBC is the measure of angle ABC. | Angle Addition Postulate |
| Two angles with equal measures. | Congruent angles |
| The ray that divides an angle into two congruent angles. | Bisector of an angle |
| Coplanar angles with a common vertex and a common side, but no common interior points. | Adjacent angles |
| A basic assumption accepted without proof. | Postulate |
| A statement that can be proved using postulates, definitions, and previously proved versions of this. | Theorem |
| There is at least one. | Exists |
| There is no more than one. | Unique |
| Exactly one. | One and only one |
| To define or specify. | Determine |
| Two relationships between two lines in the same plane. | Parallel or intersect at one point |
| Three relationships between a line and a plane. | Parallel, intersect at one point, or plane contains line |
| Two relationships between two planes. | Parallel or intersect in a line |
| A line contains at least two points; a plane contains at least three noncollinear points; space contains at least four noncoplanar points. | Postulate 5 |
| Through any two points there is exactly one line. | Postulate 6 |
| Through any three points there is at least one plane, and through any three noncollinear points there is exactly one plane. | Postulate 7 |
| If two points are in a plane, then the line that contains the points is in that plane. | Postulate 8 |
| If two planes intersect, then their intersection is a line. | Postulate 9 |
| If two lines intersect, then they intersect in exactly one point. | Theorem 1-1 |
| Through a line and a point not in the line there is exactly one plane. | Theorem 1-2 |
| If two lines intersect, then exactly one plane contains the lines. | Theorem 1-3 |
Created by:
LOSBH47
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