Unit A: Geometry

Chapter 2: Transformations

Summary

Similar Figures

Similar figures have corresponding sides that are in the same proportion and corresponding angles that are equal.

Scale Factor

• The scale factor is the enlargement or reduction factor between two polygons.
• To find the scale factor of a dilation, use this formula:
• $\mathrm{Scale} \mathrm{Factor}=\frac{\mathrm{Dimension} \mathrm{of} \mathrm{Image}}{\mathrm{Dimension} \mathrm{of} \mathrm{Original}}$

Dilation

• Dilation refers to the enlargement or reduction of a shape or object.
• For a dilation scale factor greater than 1, an enlargement occurs.
• For a dilation scale factor between 0 and 1, or a fraction less than 1, a reduction occurs.
• The dilation of a shape or object can be performed by multiplying each point or dimension of the shape or object by the scale factor.