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Thereoms
| Question | Answer |
|---|---|
| Translations take... | Translations take lines to parallel lines or to themselves |
| Verticals angles.. | Vertical angles are congruent. |
| Alternate Interior Angle | If two parallel lines are cut by a transversal then alternate interior angles are congruent. |
| Corresponding angles theorem | If two parallel lines are cut by a transversal then corresponding angles are congruent. |
| Triangle angle sum theorem | The three angle measures of any triangle always sum to 180 degrees. |
| If two figures are congruent... corresponding parts | If two figures are congruent corresponding parts of those figures inside are congruent. |
| A triangle is an isoscles triangle if... | A triangle is an isoscles triangle if at least 2 sides of a triangle are congruent |
| If two segments have the same length.... | If two segments have the same length then they are congruent. |
| Side-Angle-Side Triangle Congruence | In two triangles, if two pairs of corresponding angles between the sides are congruent s, then the two triagnles are congruent. |
| Isosceles triangle theorem | In an isosceles triangle, the base angles are congruent. |
| Angle-Side-Angle theorem | In two triangles, if two pairs of corresponding angles and the pair of corresponding sides between the angles are congruent then the triangles are congruent. |
| Perpendicular bisector thereom | If a point C is the same distance from A as it is from B then C must be on the perpendicular bisector of AB |
| Side-Side-Side thereom | In two triangles, if all three pairs of corresponding sides are congruent, then the triangles must be congruent. |
| Parralelogram-Angles | In a parallelogram, opposite angles are congruent. |
| Parralelogram- sides | In a parallelogram, pairs of opposite sides are congruent |
| parallelogram-definiton | In a parallelogram , pairs of opposites sides are parallel |
| Rectangle definition | A rectangle is a Parallelogram/quadrilateral with four right angles. |
| Rhombus definition | A rhombus is a Parallelogram/quadrilateral with four congruent sides. |
| If a paraallelogram has at least one... | If a paraallelogram has at least one right angle then it is a rectangle. |
| Paralleogram-adjacent angles | In a Parallelogram adjacent angles are supplementary/180 degrees |
| Diagonals of a Parallelogram | In a Parallelogram diagonals bisect each other. |
| In a rectangle diagonals... | In a rectangle, diagonals are congruent and bisect each other. |
| In a rhombus diagonals... | In a rhombus diagonals are perpendicular bisectors of each other. |
| Square definition | A square is a parralelogram- that Is a rectangle and a rhombus. |
| a dilation takes a line (parallel) | a dilation takes a line not passing through the center of dilation to a parallel line, and leaves a line passing through the center unchanged. |
| one figure is similar to another if there is a... | one figure is similar to another if there is a sequence of rigid motions and dilations that takes the first figure so that it first exactly over the other. |
| If two triangles (similar) | If two triangles have all pairs of corresponding angles congruent and all pairs of corresponding side lengths is the same proportion then the two triangles are similar. |
| All circles are | All circles are similar. |
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