| Inductive reasoning | based on a pattern |
| Conjecture | educated guess coming from inductive reasoning |
| Counter example | Disproving conjecture |
| Deductive Reasoning | Using logic to draw conclusions from given facts |
| Theorem | Any statement you can prove |
| Alternate exterior angles | Angles that lie on the opposite side of the transversal outside the parallel lines |
| Alternate interior angles | Non-adjacent angles that lie on opposite sides of the transveral between the lines |
| Same-side interior angles | Angles that lie on the same side of the transversal between the parallel lines |
| Corresponding Angles | Angles that lie on opposite sides of the transveral (aaah idk!) |
| Transversal | A line that intersects two parallel coplanar lines |
| Parallel lines | Coplanar lines that never intersect |
| Parallel planes | planes that never interect |
| Perpendicular bisector | a line perpendicular to a segment at the it's midpoint |
| Point slope form | y-y=m(x-x) |
| Rise | the difference in the y values on 2 points on the line |
| Run | the difference in the x values on 2points on the line |
| Skew lines | lines that are not parallel but never intersect |
| Slope | the ratio of rise to run (y-y) over (x-x) equation: y1 - y2 ove x1 - x2 |
| Slope intercept form | y=mx+b |
| Triangle Sum theorem | The sum of all the angle measures of a triangle is 180 degrees |
| Acute angles of a right triangle | The acute angles of a right triangle that are complimentary |
| Equilateral Triangle | When all the angle measures in an equalateral triangle are 60 degrees |
| Exterior angles | the measure of an exterior angle of a triangle is equal to the sum of the measures of its remote intirior angles |
| Interior | the set of all inside points |
| Acute Triangles | All angles are less than 60 degrees |
| CPCTC | Corresponding parts of congruent triangles are congruent |
| Isosceles Triangle | two sides and two angles of a triangle are congruent |
| Auxiliary lines | a line that is added in aid of a proof |
| Equiangular Triangle | All the angles are congruent |
| Legs of an isosceles | congruent sides in a isosceles triangle |
| Base | bottom of a triangle |
| Obtuse triangle | One of the angles in a triangle is larger than 90 degrees |
| Right Triangle | One of the angles on a triangle is equal to 90 |
| Right angle | An angle that is exactly 90 degrees |
| Coordinate Proof | A style of proof that uses geometry and algebra |
| Included Angle | An angle created by two adjacent sides |
| Scalene Triangle | All the measures of the sides are different |
| Corollary | The theorem that follows right after another theorem |
| Included side | A common side of two executive angles |
| Triangle Rigidity | If the side lengths are given there is only one specific shape |
| Corresponding angles | Angles that are congruent |
| Vertex | The angle formed by two legs |
| Corresponding sides | sides that are congruent |
| Interior angle | An inside angle |
| Exterior angle | An outside angle |
| Remote intirior angle | An interior angle that is not adjacent to the extirior angle |
| two angles | If two angles of one triangle are congruent to two angles of another triangle then the 3rd angles is congruent |
| Parallel sides Theorem | If 2 lines have the same slope than there parallel. |
| Perpendicular Lines Theorem | in a coordinate plane, two nonvertical lines are perpendicular if and only if the product of their slopes is -1. Verical and horisantal lines are perpendicular |
| Corresponding angles Postulate | If two parallel lines are cut by a transversal then the pairs of corresponding angles are congruent. |
| Alternate Extirior angles theorem | if two parallel lines are but by a transversal then the alternate interior lines angles are congruent. |
| Same side intirior angles | if two parallel lines are but by a transversal then the same side interior angles are supplementary. |