Similar Figures

Front

What are similar figures?

Back

Two objects that are the same shape but not the same size.

Front

What must be true about the sides of similar figures?

Back

The sides in similar figures must be proportional.

Front

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

Back

All corresponding angles are equal.

Front

What is the ratio of the lengths of corresponding sides in similar figures called?

Back

The scale factor.

Front

If the scale factor between two similar triangles is 2:3, what does this mean?

Back

For every 2 units in the first triangle, there are 3 units in the second triangle.

Front

How do you determine if two figures are similar?

Back

Check if their corresponding angles are equal and their corresponding sides are proportional.

Front

If triangle A has sides of 4, 6, and 8, and triangle B has sides of 6, 9, and 12, are they similar?

Back

Yes, because the sides are proportional (4:6:8 = 2:3:4).

Front

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

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

Front

If the sides of two similar figures are in the ratio 1:4, what is the ratio of their areas?

Back

1:16.

Front

What is a common method to find the height of a tall object using similar figures?

Back

Using a mirror to create a similar triangle with your line of sight.