Similar shapes

Front

What are similar shapes?

Back

Shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

If two shapes are similar, what can be said about their angles?

Back

All corresponding angles are equal.

Front

If two shapes are similar, what can be said about their sides?

Back

The lengths of corresponding sides are in proportion.

Front

What is the scale factor in similar shapes?

Back

The ratio of the lengths of corresponding sides of two similar shapes.

Front

How do you find the height of an object using similar shapes?

Back

Use the proportion of the lengths of the shadows and the heights of the objects.

Front

If a student is 4 feet tall and casts a shadow of 6 feet, and a tree casts a shadow of 12 feet, what is the height of the tree?

Back

8 feet.

Front

What is the relationship between the areas of two similar shapes?

Back

The ratio of their areas is the square of the ratio of their corresponding side lengths.

Front

Are all squares similar?

Back

Yes, all squares are similar because they have the same shape and their angles are all equal.

Front

Can two shapes be similar if they have different angles?

Back

No, similar shapes must have equal corresponding angles.

Front

What is an example of similar shapes in real life?

Back

A map and the actual area it represents are similar shapes.