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Unit 3
Geo
| Question | Answer |
|---|---|
| Basic Rigid Motion | Transformations that preserve lengths of segments and measures of angles |
| Image | The figure that has undergone the transformation |
| Opposite isometry | an isometry that changes orientation |
| Regular polygon | A polygon with all sides of equal length and all interior angles of equal measure. It is equilateral and equiangular |
| Pre image | A figure before a transformation is performed on it |
| To reflect a point P(x,y) over the y-axis | (-x,y) |
| To reflect a point P(x,y) over the x-axis | (x,-y) |
| To reflect a point P(x,y) over the line y=x | (y,x) |
| To reflect a point P(x,y) over the line y=-x | (-y,-x) |
| To reflect a point P(x,y) over the origin | (-x,-y) |
| To translate a point P(x,y) a units horizontally and b units vertically | (x+a,y+b) |
| The formula for the angle of rotational symmetry | 360 ---------- # of_sides of_a_regular polygon |
| To perform a rotation we need a center of rotation a direction and an angle of rotation. We will be performing rotations on the coordinate plane where the center of rotation is the origin | A positive angle will be counterclockwise while a negative annle will be clockwise |