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Similar Shapes

# Similar Shapes

### Similar Shapes

Shapes are described as similar if they are in proportion to each other.

Mathematically, similarity means that two objects are proportional to one another.

Similar shapes are bigger or smaller versions of each other. Their sides are **proportional in length**.

All angles in similar shapes remain the same.

The difference in side length from one similar shape to another is called the **scale factor**.

Scale factors can be either negative (shape gets smaller), or positive (shape gets bigger).

What is the relationship between sides of similar shapes?

In similar shapes, **corresponding angles** are *always* the same.

If the ratio between two shapes is $8:48$, what is the scale factor?