Transformations

Translations

● Translating a point and giving its coordinates - One step

● Translating a point and giving its coordinates - Two steps

● Properties of translated figures

● Determining if figures are related by a translation

Reflections

● Reflecting a point across an axis

● Reflecting a point across an axis and giving its coordinates

● Finding the coordinates of a point reflected across an axis

● Reflecting a polygon across the x-axis or y-axis

● Determining if figures are related by a reflection

● Reflecting a polygon over a vertical or horizontal line

● Finding the coordinates of a point reflected across an axis and translated

● Understanding the definition of a reflection

Rotations

● Rotating a point and giving its coordinates

● Determining if figures are related by a rotation

● Understanding the definition of a rotation

Symmetry

● Drawing lines of symmetry

● Finding an angle of rotation

● Identifying rotational symmetry and angles of rotation

● Rotational and point symmetries

Congruence Transformations

● Writing a rule to describe a translation

● Writing a rule to describe a reflection

● Writing a rule to describe a rotation

● Identifying transformations that map a quadrilateral onto itself

● Identifying transformations that map a regular polygon onto itself

● Determining if figures are congruent and related by a transformation

● Determining if figures are congruent and related by a sequence of transformations

Dilations

● Dilating a segment and giving the coordinates of its endpoints

● The effect of dilation on side length

● Determining if figures are related by a dilation

● Dilating a figure

● Writing a rule to describe a dilation

● Exploring similarity of circles