Midterm Part 1
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57 terms
Terms | Definitions |
|---|---|
 Acute Angle | an angle whose measure is between 0 and 90 |
| Adjacent Angles | 2 coplaner angles that have a common side, common vertex, but no common interior points |
| Alternate Interior Angles | non adjacent interior angles that lie on opposite sides of the transversal and are congruent if the lines are parallel |
| An ? is formed by 2 rays with the same endpoint. | angle |
| Angle Bisector | a ray that divides an angle into 2 congruent angles |
| Axes | the horizontal and vertical number lines of a coordinate plane that intersects at right angles |
| Axiom | an accepted statement or fact |
| Biconditional | the combination of a conditional statement and its converse |
| Collinear Points | points that lie on the same line |
| Compass | a geometric tool used to draw circles |
| Complementary Angles | 2 angles that have the sum of 90 |
| Conclusion | the part of an if-then statement that follows "then" |
| Conditional | an "if-then" statement |
| Congruent Angles | angles that have the same measure |
| Congruent Segments | segments that have the same length |
| Conjecture | a conclusion or guess reached by using inductive reasoning |
| Construction | a geometric figure made with only a straight edge or compass |
| The ? of the conditional "if p then q" is "if q then p". | converse |
| The ? is its distance and direction from the origin of a number line. | coordinates of a point |
| Coordinate Plane | formed by 2 number lines intersecting at right angles |
| Coplanar Figures | figures in the same plane |
| Corresponding Angles | angles that are in corresponding postions relative to 2 parallel lines cut by a transversal |
| Counter Example | a particular example or instance of a statement makes the statement false |
| Deductive Reasoning | a process of reasoning logically from given facts to a conclusion |
| Endpoint | the starting and ending point of a line segment |
| Hypothesis | the part that follows the "if" in an if-then statement |
| Inductive Reasoning | a type of reasoning that reaches conclusions based on a pattern of specific examples or past events |
| Line | a series of points that extend in 2 directions without end |
| Measure of an Angle | a number of degrees greater than 0 and less than or equal to 180 using a protractor |
| Midpoint of a Segment | the point that divides a segment into 2 congruent segments |
| Obtuse Angle | an angle whose measure is between 90 and 180 |
| Opposite Rays | collinear rays with the same endpoint |
| Origin | the point (0,0) where the 2 number lines meet and intersect |
| Parallel Lines | llines that lie in the same plane and do not intersect |
| Parallel Planes | planes that do not intersect |
| Perimeter of a Polygon | the sum of the length of the sides of a polygon |
| The ? of a segment of a segment is a line, segment, or ray that is perpendicular to the segment at its midpoint. | perpendicular bisector |
| Perpendicular Lines | lines that intersect to form right angles |
| Plane | a flat surface that has no thickness |
| Point | a location that has no size |
| Postulate | an accepted statement or fact |
| Quadrant | the 4 regions of a coordinate plane that are divided by the axes |
| Ray | the part of a line consisting of one endpoint and all the points of the line on one side of the endpoint |
| Right Angle | an angle whose measure is 90 |
| Same Side Interior Angles | angles that lie on the same side of the transversal and are supplementary if the lines are parallel |
| Segment | part of a line consisting of 2 endpoints and all points in between them |
| Segment Bisector | a line, segment, ray or plane that intersects a segment at its midpoint |
| One of the 2 rays forms a ? of an angle. | side |
| Skew Lines | lines that do not lie in the same plane and do not intersect |
| Space | the set of all points |
| Straight Angle | an angle whose measure is 180 |
| Straightedge | a ruler with no markings on it |
| 2 angles are ? if the sum of their measures is 180 | supplementary angles |
| Transversal | a line that intersects 2 coplanar lines in 2 points |
| The ? of a statement is true or false according to whether the statement is true or false. | truth value |
| Vertex | the common endpoint of the sides of an angle |
| Vertical Angles | two angles whose sides form 2 pairs of opposite rays |
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