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Geometry Unit 1!
Geometry unit 1!
| Question | Answer |
|---|---|
| a way to categorze items based on having the same characteristics. | Attributes |
| Two figures are this if they have the same shape and size. | Congruent |
| Two figures are this if they have the same shape. | Similar |
| When your eyes see something differently or are tricked into believing something is true when really it is not. | Optical Illusion |
| A figure has this if it can be divided into two parts, each of which is the mirror image of the other. | Line Symmetry |
| A figure has this when the figure is rotated 180 degrees about its center and the resulting figure coincides with the original. | Rotational Symmetry |
| Can be thought of as a dot that represents a location in a plane or space. | Point |
| An infinite number of points extending infinitely on both directions. | Line |
| A flat surface that extends infinitely in all directions. (need 3 points) | Plane |
| A part of a line having two end points. | Segment |
| A part of a line having one endpoint. | Ray |
| Consists of two different rays that have the same initial point called the vertex. | Angle |
| 0° | Acute |
| m=90° | Right |
| 90° | Obtuse |
| m=180° | Straight |
| Two rays with a common endpoint going in opposite directions. | Opposite rays |
| Two angles that share a common vertex and side but have no common interior points. | Adjacent angles |
| To cut an object into two congruent parts. | Bisect |
| A segment that bisects another segment into two congruent segments. | Segment bisector |
| A ray that bisects an agle into two congruent angles. | Angle bisector |
| The point that divides a segment into two congruent parts. | Midpoint |
| Point on the same line. | Collinear |
| Points on the same plane. | Coplanar |
| Points contained outside an angle. | Exterior points |
| Points contained inside an angle | Interior points |
| Two or more coplanar lines traveling in the same direction and never intersect. | Parallel lines |
| Two coplanar lines that intersect to for 90°<'s. | Perpendicular lines |
| if a=b then a+c=b+c | Addition Property |
| If a=b then a-c=b-c | Subtraction Property |
| if a=b, then ac=bc | Multiplication Property |
| if a=b, then a/c=b/c c does not equal 0. | Division Property |
| For any real #a, a=a | Reflexive Property |
| If a=b then b=a | Symmetric Property |
| If a=b and b=c then a=c | Transitive Property |
| if a=b then a may be substituted in for b in any equation or expression | Substitution Property |
| a(b+c)=ab+ac | Distributive Property |
| Any geometric object is congruent to itself. ex. | Reflexive |
| If one geometric object is congruent to a second, then the second object is congruent to the first. | Symmetric |
| If | Transitive |
| Are two angles formed by two pairs of opposite rays having the same endpoint. | Vertical Angles |
| If two angles are verticcal angles, then they are congruent. | Vertical Angles Theorem |
| Two adjacent angles whose non-common sides are opposite rays | Linear Pair |
| If two angles form a linear pair, then they are supplementary. | Linear Pair Postualte |
| If two angles are complementary to the same angle or to congruent angles, then the two angles are congruent. | Congruent Complements Theorem |
| If 2 angles are supplementary to the same angle or to congruent angles, then the two angles are congruent. | Congruent Supplements Theorem |