Definitions through chapter 4. :D
I imported this from a Word document, so tell me if you see any errors ^_^
13508104820 | Inductive reasoning | a type of reasoning that reaches conclusions based on a pattern of specific examples or past events. | 0 | |
13508104821 | Conjecture | a conclusion reached by using inductive reasoning. | 1 | |
13508104822 | Counterexample | a particular example or instance of the statement that makes the statement false. | 2 | |
13508104823 | Space | set of all points. | 3 | |
13508104824 | Collinear points | points lie on the same line. | ![]() | 4 |
13508104825 | Coplanar | figures in the same plane. | 5 | |
13508104826 | Postulate | an accepted statement of fact. | 6 | |
13508104827 | Segment | part of a line consisting of two points, called endpoints, and all points between them. | ![]() | 7 |
13508104828 | Ray | part of a line consisting of one endpoint and all the points of the line on one side of the endpoint. | 8 | |
13508104829 | Opposite rays | collinear rays with the same endpoint. They form a line. | ![]() | 9 |
13508104830 | Parallel lines | Two lines lie in the same plane and do not intersect. The symbol || represents this | ![]() | 10 |
13508104831 | Skew lines | lines that do not lie in the same plane. | ![]() | 11 |
13508104832 | Parallel planes | planes that do not intersect | 12 | |
13508104834 | Congruent segments | segments that have the same length. | ![]() | 13 |
13508104835 | Midpoint | the point that divides the segment into two congruent segments. | ![]() | 14 |
13508104836 | 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. | ![]() | 15 |
13508104838 | Right angle | an angle whose measure is 90. | ![]() | 16 |
13508104840 | Straight angle | angle whose measure is 180. | ![]() | 17 |
13508104841 | Congruent angles | angles that have the same measure. | 18 | |
13508104842 | Construction | geometric figure made with only a straightedge and compass. | 19 | |
13508104844 | Compass | a geometric tool used to draw circles and parts of circles, called arcs. | 20 | |
13508104845 | Perpendicular lines | lines that intersect to form right angles. The symbol ┴ represents this . | ![]() | 21 |
13508104846 | Perpendicular bisector | a line, segment, or ray that is perpendicular to the segment at its midpoint. | ![]() | 22 |
13508104847 | Angle bisector | a ray that divides an angle into two congruent angles. | ![]() | 23 |
13508104848 | Conditional Statement | an if-then statement. | 24 | |
13508104854 | Deductive reasoning | a process of reasoning logically from given facts to a conclusion. | 25 | |
13508104857 | Reflexive property | a = a | 26 | |
13508104858 | Symmetric property | If a = b, then b = a. | 27 | |
13508104859 | Transitive property | If a = b and b = c, then a = c. | 28 | |
13508104860 | Vertical angles | two angles whose sides form two pairs of opposite rays. | ![]() | 29 |
13508104861 | Adjacent angles | two coplanar angles that have a common side and a common vertex but no common interior points. | ![]() | 30 |
13508104862 | Complementary angles | Two angles when the sum of their measures is 90. | ![]() | 31 |
13508104863 | Supplementary angles | Two angles when the sum of their measures is 180. | ![]() | 32 |
13508104864 | Theorem | conjecture that is proven. | 33 | |
13508104866 | Proof | a convincing argument that uses deductive reasoning. A proof can be written in many forms. In a paragraph proof, the statements and reasons are connected in sentences. | 34 | |
13508104867 | Transversal | a line that intersects two coplanar lines in two points. | 35 | |
13508104868 | Alternate interior angles | are nonadjacent interior angles that lie on opposite sides of the transversal. | ![]() | 36 |
13508104869 | Same-side interior angles | (or consecutive interior) angles lie on the same side of the transversal t and between l and m. | ![]() | 37 |
13508104870 | Corresponding angles | angles lie on the same side of the transversal t and in corresponding positions relative to l and m. | ![]() | 38 |
13508104871 | Two-column proof | The statements and reasons are aligned in columns. | 39 | |
13508104872 | Flow proof | Arrows show the logical connections between the statements. | ![]() | 40 |
13508104874 | Right triangle | A triangle contains one right angle. | 41 | |
13508104876 | Equiangular triangle | a triangle whose angles are all congruent. | ![]() | 42 |
13508104877 | Equilateral triangle | a triangle whose sides are all congruent. | ![]() | 43 |
13508104878 | Isosceles triangle | a triangle that has at least two congruent sides. | ![]() | 44 |
13508104879 | Scalene triangle | triangle has no sides congruent. | ![]() | 45 |
13508104880 | Exterior angle of a polygon | an angle formed by a side and an extension of an adjacent side. | ![]() | 46 |
13508104881 | Remote interior angles | two nonadjacent interior angles corresponding to each exterior angle of a triangle. | ![]() | 47 |
13508104887 | Regular polygon | a polygon that is both equilateral and equiangular. | 48 | |
13508104888 | Slope-intercept form | form of a linear equation is y = mx + b, | ![]() | 49 |
13508104890 | Point-slope form | The form for a nonvertical line with slope m and through point ( X1, Y1 ) is Y - Y1 = m( X - X1 ). | ![]() | 50 |
13508104891 | Congruent polygons | polygons that have corresponding sides congruent and corresponding angles congruent. | ![]() | 51 |
13508104892 | CPCTC | "corresponding parts of congruent triangles are congruent." | ![]() | 52 |
13508104893 | Legs | The two congruent sides of an isosceles triangle. | ![]() | 53 |
13508104896 | Base angles of an isosceles triangle | The other two angles in an isosceles triangle | ![]() | 54 |
13508104898 | Hypotenuse | The longest side of a right triangle. Also opposite the right angle. | ![]() | 55 |
13508104899 | Legs of a right triangle | The sides that from the right angles of a right triangle | ![]() | 56 |