Monday, 17 April 2017 Enlargements

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Presentation transcript:

Monday, 17 April 2017 Enlargements Objective: Transform a shape given a centre of enlargement and a scale factor (including negative and fractional).

Enlarge this triangle by a scale factor of 3.

Enlarge this triangle by a scale factor of 3. X 3 6 2 1 3 X 3

Enlarge this triangle by a scale factor of 3 using (2, 1) as the centre of enlargement.

Enlarge this triangle by a scale factor of 3 using (2, 1) as the centre of enlargement.

Enlarge this triangle by a scale factor of 3 using (2, 1) as the centre of enlargement. 1. Draw lines from the centre of enlargement through the vertices (corners) of the shape. 1 2

Enlarge this triangle by a scale factor of 3 using (2, 1) as the centre of enlargement. 2. Use the lines to find the corners of the enlarged shape Draw lines from the centre of enlargement through the vertices (corners) of the shape. 1 2

Enlarge this triangle by a scale factor of 3 using (2, 1) as the centre of enlargement. Use the lines to find the corners of the enlarged shape Draw lines from the centre of enlargement through the vertices (corners) of the shape. 1 2

Scale Factor = -1

What about if I need to find the centre of enlargement? 0 1 2 3 4 5 6 7 8 9 x 1 9 8 7 6 5 4 3 2 y We have found the centre of enlargement! (2, 1)