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geometry study
| Question | Answer |
|---|---|
| median | A line connecting the vertex to the midpoint of a triangle |
| altitude | A line drawn through the vertex showing the highest point of a triangle |
| translation | (x+a),(y+b) |
| Reflection over x axis | (x,-y) |
| Reflection over y axis | (-x,y) |
| Reflection across line y=x | (y,x) |
| Rotation 90 degrees about the origin | (-y,x) |
| Rotation 180 degrees about the origin | (-x, -y) |
| Rotation 270 degrees about the origin | (y,-x) |
| Dilation with respect to origin and scale factor of k | (kx, ky) |
| Isosceles Triangle Theorem (Base angle theorem) | if two sides of an isosceles triangle are equal then the angles opposite to the equal sides will also have the same measure |
| Converse of the Isosceles Triangle Theorem (Converse of the base angle theorem) | if two angles of a triangle are equal, then the sides opposite to the equal angles of a triangle are of the same measure |