THIS QUIZLET DOES NOT INCLUDE POSTULATES AND THEOREMS
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| 583256809 | Acute angle | An angle whose measure is between 0 and 90. | 0 | |
| 583256810 | Angle | Formed by two rays with the same endpoint. The rays are the sides of the angle and the common endpoint is the vertex of the angle. | 1 | |
| 583256811 | Angle bisector | A ray that divides an angle into two congruent angles. | 2 | |
| 583256812 | Axiom | Also called a postulate, an axiom is an accepted statement of fact. | 3 | |
| 583256813 | Collinear points | Points that lie on the same line. | 4 | |
| 583256814 | Congruent angles | Angles that have the same measure. | 5 | |
| 583256815 | Congruent segments | Segments that have the same length. | 6 | |
| 583256816 | Conjecture | A conclusion reached by using inductive reasoning. | 7 | |
| 583256817 | Coordinate | A point's distance and direction from the origin of a number line. The coordinates of a point on a coordinate plane are in the form (x, y), where x is the x-coordinate and y is the y-coordinate. | 8 | |
| 583256818 | Coplanar | Figures in the same plane. | 9 | |
| 583256819 | Counterexample | A counterexample to a statement is a particular example or instance of the statement which makes the statement false. | 10 | |
| 583256820 | Inductive reasoning | A type of reasoning that reaches conclusions based on a pattern of specific examples or past events. | 11 | |
| 583256821 | Line | In Euclidean geometry, a line is undefined. You can think of a line as a series of points that extend in two directions without end. In spherical geometry, you can think of a line as a great circle of a sphere. | 12 | |
| 583256822 | Midpoint | The point that divides the segment into two congruent segments. | 13 | |
| 583256823 | Obtuse angle | An angle whose measure is between 90 and 180. | 14 | |
| 583256824 | Opposite rays | Collinear rays with the same endpoint. They form a line. | 15 | |
| 583256825 | Parallel lines | Two lines are parallel if they lie in the same plane and do not intersect. The symbol || means "is parallel to." | 16 | |
| 583256826 | Parallel planes | Planes that do not intersect. | 17 | |
| 583256827 | Perpendicular bisector | The perpendicular bisector of a segment is a line, segment, or ray that is perpendicular to the segment at its midpoint. | 18 | |
| 583256828 | Perpendicular lines | Lines that intersect and form right angles. The symbol means "is perpendicular to." | 19 | |
| 583256829 | Plane | A plane is undefined. You can think of a plane as a flat surface that has no thickness. A plane contains many lines and extends without end in the directions of its lines. | 20 | |
| 583256830 | Point | A point is undefined. You can think of a point as a location. A point has no size. | 21 | |
| 583256831 | Postulate | Also called axiom, is an accepted statement of fact. | 22 | |
| 583256832 | Ray | The part of a line consisting of one endpoint and all the points of the line on one side of the endpoint. | 23 | |
| 583256833 | Right angle | An angle whose measure is 90. | 24 | |
| 583256834 | Segment | The part of a line consisting of two points, called endpoints, and all points between them. | 25 | |
| 583256835 | Skew lines | Lines that do not lie in the same plane. | 26 | |
| 583256836 | Space | The set of all points. | 27 | |
| 583256837 | straight angle | An angle whose measure is 180. | 28 | |
| 583256838 | straightedge | A ruler with no markings on it. | 29 | |
| 583256839 | Adjacent angles | Two coplanar angles that have a common side and a common vertex but no common interior points. | 30 | |
| 583256840 | Bioconditional | A conditional statement and its converse can be combined to form a biconditional statement. A biconditional contains the words "if and only if." | 31 | |
| 583256841 | Complementary angles | Two angles are complementary angles if the sum of their measures is 90 degrees. | 32 | |
| 583256842 | Conclusion | The conclusion is the part of an if-then statement (also called the conditional) that follows then. | 33 | |
| 583256843 | Conditional | An if-then statement. | 34 | |
| 583256844 | Converse | The converse of the conditional "if p, then q" is the conditional "if q, then p." | 35 | |
| 583256845 | Deductive reasoning | A process of reasoning logically from given facts to a conclusion. | 36 | |
| 583256846 | Hypothesis | The part that follows if in an if-then statement (or conditional). | 37 | |
| 583256847 | Supplemental angles | Two angles are supplementary if the sum of their measures is 180. | 38 | |
| 583256848 | Theorem | A conjecture that is proven. | 39 | |
| 583256849 | Truth value | "true" or "false" according to whether the statement is true or false, respectively. | 40 | |
| 583256850 | Vertical angles | Two angles with sides that are opposite rays. | 41 | |
| 583256851 | Alternate interior angles | Nonadjacent interior angles that lie on opposite sides of the transversal. | 42 | |
| 583256852 | Polygon | A closed plane figure with at least three sides that are segments. The sides intersect only at their endpoints and no two adjacent sides are collinear. The vertices of the polygon are the endpoints of the sides. A diagonal is a segment that connects two nonconsecutive vertices. A polygon is convex if no diagonal contains points outside the polygon. A polygon is concave if a diagonal contains points outside the polygon. | 43 | |
| 583256853 | Corresponding angles | Angles that lie on the same side of the transversal t and in corresponding positions relative to l and m. | 44 | |
| 583256854 | Equiangular triangle or polygon | An equiangular triangle is a triangle whose angles are all congruent. An equiangular polygon is a polygon whose angles are all congruent. | 45 | |
| 583256855 | Equilateral triangle or polygon | An equilateral triangle is a triangle whose sides are all congruent. An equilateral polygon is a polygon whose sides are all congruent. | 46 | |
| 583256856 | Exterior angle of a polygon | An angle formed by a side and an extension of an adjacent side. | 47 | |
| 583256857 | Proof | A proof is a convincing argument that uses deductive reasoning. A proof can be written in many forms. In a two-column proof, the statements and reasons are aligned in columns. In a paragraph proof, the statements and reasons are connected in sentences. In a flow proof, arrows show the logical connections between the statements. In a coordinate proof, a figure is drawn on a coordinate plane and the formulas for slope, midpoint, and distance are used to prove properties of the figure. An indirect proof involves the use of indirect reasoning. | 48 | |
| 583256858 | Isosceles triangle | A triangle that has at least two congruent sides. If there are two congruent sides, they are called legs. The vertex angle is between them. The third side is called the base and the other two angles are called the base angles. | 49 | |
| 583256859 | Polygon | A closed plane figure with at least three sides that are segments. The sides intersect only at their endpoints and no two adjacent sides are collinear. The vertices of the polygon are the endpoints of the sides. A diagonal is a segment that connects two nonconsecutive vertices. A polygon is convex if no diagonal contains points outside the polygon. A polygon is concave if a diagonal contains points outside the polygon. | 50 | |
| 583256860 | Regular polygon | A polygon that is both equilateral and equiangular. Its center is the center of the circumscribed circle. | 51 | |
| 583256861 | Remote interior angle | The two nonadjacent interior angles corresponding to each exterior angle of a triangle. | 52 | |
| 583256862 | Same-side interior angles | Angles that lie on the same side of the transversal t and between and m. | 53 | |
| 583256863 | Scalene triangle | Has no sides congruent. | 54 | |
| 583256864 | Transversal | A line that intersects two coplanar lines in two points. | 55 | |
| 583256865 | Congruent polygons | Polygons that have corresponding sides congruent and corresponding angles congruent. | 56 | |
| 583256866 | Corollary | A statement that follows directly from a theorem. | 57 | |
| 583256867 | CPCTC | An abbreviation for "corresponding parts of congruent triangles are congruent." | 58 | |
| 583256868 | Hypotenuse | The segment directly across from the right angle in a right triangle. | 59 | |
| 583256869 | Altitude of a triangle | A perpendicular segment from a vertex to the line containing the side opposite that vertex. | 60 | |
| 583256870 | Centroid | The point of intersection of all the lines that contain the medians of that triangle. | 61 | |
| 583256871 | Circumcenter | The point of concurrency of the perpendicular bisectors of a triangle. | 62 | |
| 583256872 | Circumscribed about | A circle is circumscribed about a polygon if the vertices of the polygon are on the circle. A polygon is circumscribed about a circle if all the sides of the polygon are tangent to the circle. | 63 | |
| 583256873 | Concurrent lines | Three or more lines that meet in one point. The point at which they meet is the point of concurrency. | 64 | |
| 583256874 | Contrapositive | The contrapositive of the conditional "if p, then q" is the conditional "if not q, then not p." A conditional and its contrapositive always have the same truth value. | 65 | |
| 583256875 | Distance from a point to a line | The length of the perpendicular segment from the point to the line. | 66 | |
| 583256876 | Equivalent statements | Statements with the same truth value. | 67 | |
| 583256877 | Incenter of a triangle | The point of concurrency of the angle bisectors of the triangle. | 68 | |
| 583256878 | Indirect reasoning | A type of reasoning in which all possibilities are considered and then all but one are proved false. The remaining possibility must be true. | 69 | |
| 583256879 | Inscribed in | A circle is inscribed in a polygon if the sides of the polygon are tangent to the circle. A polygon is inscribed in a circle if the vertices of the polygon are on the circle. | 70 | |
| 583256880 | Inverse | The inverse of the conditional "if p, then q" is the conditional "if not p, then not q." | 71 | |
| 583256881 | Median of a triangle | A segment that has as its endpoints a vertex of the triangle and the midpoint of the opposite side. | 72 | |
| 583256882 | Midsegment of a triangle | The segment that joins the midpoints of two sides of the triangle. | 73 | |
| 583256883 | Negation | A negation of a statement has the opposite meaning of the original statement. | 74 | |
| 583256884 | Orthocenter | The point of intersection of the lines containing the altitudes of the triangle. | 75 | |
| 583256885 | Concurrent lines | Three or more lines that meet in one point. The point at which they meet is the point of concurrency. | 76 |
