| Term | Definition |
|---|
| parallel planes | planes that do not intersect |
| Euclidean Geometry | parallel planes don't intersect |
| coplanar | parallel lines are blank with lines that do not intersect |
| skew lines | non coplanar lines that do not intersect |
| transversal | line that cuts two or more other lines |
| corresponding angles | angles with the same position relative to the line and transversal |
| interior angles | if lines are connected, these angles exist inside it |
| exterior angles | outside connected lines |
| alternate interiors | interiors opposite side of transversal (and diagonal) |
| consecutive interiors | interiors below each other on same side of transversal |
| alternate exterior angles | angles with complete different position of transveral (outside) |
| biconditional term | can be said either way and be true |
| if two lines are parallel | then corresponding angles are congruent |
| if two lines are parallel | then alternate interiors are congruent |
| if two lines are parrallel | then consecutive interiors are supplementary |
| if two lines are parrallel | then alternate exteriors arre congruent |
| perpendicular | if a line is ___to one of two parrallel lines, then it is ___ to the otheer |
| parallel postulate | given a line and a point not on the line in a plane, there exists one line exactly thhrough the point and parallel to the given line |
| distance | ___ btw point and line is the perpenduicular from point to line |
| slope | rise over run |
| parallel slope | equal to the regular slope |
| perpendicular slope | upside down and negative to the regular slope |
| congruent angles | equal sides and angles |
| triangle | polygon |
| polygon | closed figure in a plane made up of sides |
| vertices | sides intersect at endpoints called |
| acute triangle | all angles are acute |
| obtuse triangle | one angle is obtuse |
| right triangle | one angle is a right angle |
| equilangular | all angle of a triangle are congruent |
| equilateral | all sides of a triangle are congruent |
| hypotenuse | side opposite to the right angle |
| legs | other two sides from a hypotenuse |
| scalene triangle | triangle where no two sides are congruent |
| isoceles triangle | AT LEAST two sides of a triangle are congruent |
| angle sum theorem | sum of the measures of the angles of a triangle equal 180 |
| auxililary line | helps prove a triangle equals 180 degrees, is parallel to a a line segment |
| third angle thereom | if two angles of one triangle are congruent to two angles of a second triangle then the third angles of the triangle are congruent |
| exterior angle | formed by one side of a triangle and another angle extended |
| remote interior angles | interior angles of the triangle non adjacent to a given exterior angle |
| exterior angle theorem | measure of an exterior angle of a triangle is equal to the sum of the measures of two remote interior angles |
| complementary | acute angles of a right triangle are |
| right or obtuse | there can be at most one ___ or ___ angle in a triangle |
| CPCTC | if two triangles are congruent then their corresponding parts are congruent |
| reflexive transitive symmetric | congruence of triangles is |
| SSS | if the sides of one triangle are congruent to the sides of a second triangle then the triangles are congruent |
| SAS | if two sides and the included angle of one triangle are congruent to two sides and an included angle of another triangle, then the triangles are congruent |
| ASA | if two angles and the included side of one triangle are congruent to the two angles and the included side of another triangle, the triangles are congruent |
| AAS | if two angles and a nonincluded side of one triangle are congruent to the corresponding two angles and side of a second triangle, the two triangles are congruent |
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