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Geometry Quiz 1
UCSMR Geometry 1-6, 1-7, 1-8 Quiz Stack
| Question | Answer |
|---|---|
| Circularity | One word the defines another and then that word defines the first. |
| undefined terms | words that have no definition |
| figure | a set of points |
| space | a set of all points |
| collinear | 3 or more points are collinear iff they lie on the same line |
| coplanar | 4 or more points are coplanar iff they lie on the same plane |
| one-dimensional | length (ft, m, etc) |
| two-dimensional | length and width (area) (ft^2 or m^2) |
| three-dimensional | length, width, and height (volume) (ft^3 or m^3) |
| Euclidean Geometry | parallel lines NEVER touch/study of Euclid's works (Greek Mathematician) |
| Spherical Geometry | parallel lines do meet |
| Iff | if and only if, bi-conditional statement |
| plane | any flat surface that repeats in ALL directions (parallelogram describes this) |
| Postulates | statements assumed to be true |
| Point-Line-Place Postulate | a.)Unique Line Assumption - through any two points there is exactly one line. |
| b.)Number Line Assumption - any line can be turned into a number line. | |
| c.)Dimensional Assumption - (1) Given a line in a plane there is at least one point in the plane and not on the line. (2)Given a plane in space, there is at least one point in space, not on the plane. | |
| theorem | statements which are proven true |
| Line Intersect Theorem | Two Lines intersect in at most one point, (on the same plane). |
| parallel lines | two coplanar are parallel lines iff they have no points in common or they're identitcal. |
| m//n | lines m and n are parallel |
| Betweenness of Numbers | a number is between two other points if it is greater than one and less than the other. |
| Betweenness of Points | a point is between two other points if it is on the same line and its coordinate is between their coordinates. |
| segment(line segment) | with endpoint A and B, is the set consisting of the distinct points A and B and all points between A and B. |
| ray | with endpoint A and containing a second point B, consists of the points on AB(ray) and all points for which B is between each of them and A. Rules: (ray)AB is not the same as (ray)BA, they would travel in opposite directions therefore the order matters! |
| Distance Postulate | a.) Uniqueness Property - on a line, there is a unique distance between two points, (only one correct answer). |
| b.) Distance Formula - if two points on a line have coordinates x and y then the distance between them is (x-y). | |
| c.) Additive Property - if b is on (segment) AC, then AB+BC=AC |
Created by:
nigel.flynn
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