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Chapter 1 Geo. Terms
Chapter 1, Geometry Terms
| Question | Answer |
|---|---|
| A _____ has no dimension. It is represented by a dot. | Point |
| A _____ has one dimension. It is represented by a _____ with 2 arrowheads, without end. Through any two Point, there is one _____. | Line |
| A ____ has 2 dimensions, Represented by shape that looks like a floor or wall, through any 3 points. Not on the same line, there is exactly one _____. | Plane |
| the set of all possible points; made up of infinite planes | Space |
| Three or more points that lie on the same straight line. | Collinear |
| 3 or more points not on a line. | Non Collier |
| within the same plane | Coplanar |
| points that are outside or undefined of the same plane | Noncoplanar |
| line ____; the set of points consisting of two distinct points & all in between them; | Segment |
| a one-dimensional figure that consists of one endpoint A, one point B, all of the points on AB, and all points for which B is between them, written -->AB | Ray |
| two rays with a common endpoint that form a line | Opposite Rays |
| a point at which a line segment or ray ends | End Point |
| congruent line segments are segments with the same measure (lengths) | Congruent Segments |
| the point M of --AB where AM=AB x1+x2/2, y1+y2/2 | Midpoint |
| The set of points that are in both figures. | Intersection of Figures |
| two or more coplaner lines that have no points in common, do not intersect | Parallel Lines |
| planes that have no points in common | Parallel Planes |
| non-coplanar lines that don't intersect (makes a 3D figure) | Skew lines |
| A line, ray or segment which cuts another line segment into two equal parts | segment bisector |
| stated that if B is between A and C, then AB+BC=AC. The converse is also similar. If AB+BC=AC, then B is between A and C. | Segment Addition Postulate |
| d=sq root of (x2-x1)2 + (y2-y1)2 | Distance Formula |
| the union of 2 rays that have the same endpoints;measured in degrees or radians. | Angle |
| angle who measure is less than 90, more than 0 | acute |
| angle= 90' | right |
| angle, greater than 90, less than 180' | obtuse |
| states that if a point S lies in the interior of <PQR, then <PQS + <SQR = <PQR | Angle Addition Postulate |
| have the same angle in terms of degrees 2<s are ~= if they have the same measure | congruent angles |
| division of something into two equal or congruent parts, usually by a line, termed, bisector. A ray that divides an < into 2 ~= <s | Angle bisector |
| 2 non-straight and zero angles that have a common side in the interior of the angle formed by the non common sides | Adjacent Angles |
| 2 angles whose sum measure 90' | Complementary Angles |
| 2 angles whose sum equal 180' | Supplementary Angles |
| 2 supplementary adjacent angles whose noncommon sides form a line. | Linear Pairs |
| 2 angles that share a common vertex, whose sides forma line | Vertical Angles |
| if two adjacent angles unshared sides form a straight angle, then they are a linear pair, if two angles form a linear pair; supplementary | Linear Pair Postulate |
| Theorum: Veritcal Angles are | Congruent |