Enlargements and Similar figures. Enlargement When a shape is enlarged by a scale factor: a)all sides must be multiplied by the scale factor. b)All angles.

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Presentation transcript:

Enlargements and Similar figures

Enlargement When a shape is enlarged by a scale factor: a)all sides must be multiplied by the scale factor. b)All angles remain the same New length = original length x scale factor

Similar Figures When 2 figures (shapes) are similarWhen 2 figures (shapes) are similar a)Their shapes are the same b)Their angles are the same c)Corresponding lengths are in the same ratio, which is the scale factor of enlargement All circles are similarAll circles are similar All squares are similarAll squares are similar

Similar Triangles Corresponding lengths are opposite equal angles The scale factor is the ratio of the corresponding sides

Showing that 2 triangles are similar You have to show that the triangles have either: a)Equal angles or b)Corresponding lengths are all in the same ratio

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