The document provides instructions for performing a 90 degree counter-clockwise rotation of a triangle about the point (5,1). The instructions are: 1) Draw a line from the point of rotation (5,1) to a vertex of the triangle. 2) Trace the triangle, point of rotation, and line connecting them. 3) Draw a line 90 degrees counter-clockwise from the point of rotation. 4) Use the new line as a guide to trace the rotated triangle.

1. Rotations How to transform a shape with a rotation Tuesday 2 June 2009

2. Transform the triangle with a anti-clockwise 90 0 rotation about the point (5, 1) 0 1 2 3 4 5 6 7 8 9 x 1 9 8 7 6 5 4 3 2 y

3. Transform the triangle with a anti-clockwise 90 0 rotation about the point (5, 1) 1. Draw a line from (5, 1) to any vertex (corner) of the shape. 0 1 2 3 4 5 6 7 8 9 x 1 9 8 7 6 5 4 3 2 y

4. Transform the triangle with a anti-clockwise 90 0 rotation about the point (5, 1) 1. Draw a line from (5, 1) to any vertex (corner) of the shape. 2. Trace the shape, centre and line from the centre to a corner 0 1 2 3 4 5 6 7 8 9 x 1 9 8 7 6 5 4 3 2 y

5. Transform the triangle with a anti-clockwise 90 0 rotation about the point (5, 1) 1. Draw a line from (5, 1) to any vertex (corner) of the shape. 2. Trace the shape, centre and line from the centre to a corner 3. Draw a line 90 0 anti-clockwise from the centre (5, 1). 0 1 2 3 4 5 6 7 8 9 x 1 9 8 7 6 5 4 3 2 y

6. Transform the triangle with a anti-clockwise 90 0 rotation about the point (5, 1) 1. Draw a line from (5, 1) to any vertex (corner) of the shape. 2. Trace the shape, centre and line from the centre to a corner 3. Draw a line 90 0 anti-clockwise from the centre (5, 1).. 4. Use this line as the guide with the tracing paper for the transformation. 0 1 2 3 4 5 6 7 8 9 x 1 9 8 7 6 5 4 3 2 y