UCSMR Geometry 1-6, 1-7, 1-8 Quiz Stack
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Circularity | One word the defines another and then that word defines the first.
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| undefined terms | words that have no definition
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| figure | a set of points
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| space | a set of all points
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| collinear | 3 or more points are collinear iff they lie on the same line
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| coplanar | 4 or more points are coplanar iff they lie on the same plane
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| one-dimensional | length (ft, m, etc)
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| two-dimensional | length and width (area) (ft^2 or m^2)
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| three-dimensional | length, width, and height (volume) (ft^3 or m^3)
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| Euclidean Geometry | parallel lines NEVER touch/study of Euclid's works (Greek Mathematician)
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| Spherical Geometry | parallel lines do meet
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| Iff | if and only if, bi-conditional statement
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| plane | any flat surface that repeats in ALL directions (parallelogram describes this)
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| Postulates | statements assumed to be true
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| Point-Line-Place Postulate | a.)Unique Line Assumption - through any two points there is exactly one line.
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| b.)Number Line Assumption - any line can be turned into a number line.
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| 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.
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| theorem | statements which are proven true
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| Line Intersect Theorem | Two Lines intersect in at most one point, (on the same plane).
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| parallel lines | two coplanar are parallel lines iff they have no points in common or they're identitcal.
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| m//n | lines m and n are parallel
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| Betweenness of Numbers | a number is between two other points if it is greater than one and less than the other.
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| Betweenness of Points | a point is between two other points if it is on the same line and its coordinate is between their coordinates.
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| 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.
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| 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!
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| Distance Postulate | a.) Uniqueness Property - on a line, there is a unique distance between two points, (only one correct answer).
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| b.) Distance Formula - if two points on a line have coordinates x and y then the distance between them is (x-y).
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| c.) Additive Property - if b is on (segment) AC, then AB+BC=AC
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You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
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Created by:
nigel.flynn
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