5 Vectors and transformation geometry
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5.2 Transformation geometry
5.2.ASpecifying rotations
Understand that a rotation is specified by a centre and an angle.
5.2.BRotate a shape about a point through a given angle
rotate a shape about a point through a given angle
5.2.CPositive and negative rotations
recognise that an anti-clockwise rotation is a positive angle of rotation and a clockwise rotation is a negative angle of rotation
5.2.DReflection in a mirror line
understand that reflections are specified by a mirror line Such as x = 1, y = 2, y = x, y – x = 0
5.2.EConstructing mirror lines and reflections
Construct a mirror line from an object and its image, and reflect a shape in a given mirror line.
5.2.FTranslation by distance and direction
understand that translations are specified by a distance and direction
5.2.GTranslate a shape
translate a shape
5.2.HColumn vectors in translations
understand and use column vectors in translations
5.2.IRigid transformations and congruence
Understand that rotations, reflections and translations preserve lengths and angles, so the image remains congruent to the original.
5.2.JSpecifying enlargements
Understand that an enlargement is specified by a centre and a positive scale factor, including fractional scale factors.
5.2.KAngle and length effects of enlargement
Understand that enlargements preserve angles but do not generally preserve lengths.
5.2.LEnlarge a shape given the scale factor With or without
enlarge a shape given the scale factor With or without a centre given
5.2.MComplete descriptions of transformations
Identify transformations and give complete descriptions of them.