Similar Figures & Scale Drawings

Front

What are similar figures?

Back

Figures that have the same shape but not necessarily the same size, with corresponding angles that are equal and corresponding sides that are proportional.

Front

What does it mean for sides to be proportional in similar figures?

Back

It means that the lengths of corresponding sides of the figures have the same ratio.

Front

How can you determine if two figures are similar?

Back

By checking if their corresponding angles are equal and their corresponding sides are proportional.

Front

What is a scale drawing?

Back

A drawing that represents an object or area with accurate proportions, but at a different size.

Front

If a scale drawing is made at a scale of 1:4, what does this mean?

Back

It means that 1 unit on the drawing represents 4 units in real life.

Front

How do you find the scale factor between two similar figures?

Back

By dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Front

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

Back

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

Front

If two similar triangles have a scale factor of 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 4:9, since (2^2):(3^2) = 4:9.

Front

What is the importance of corresponding angles in similar figures?

Back

Corresponding angles must be equal for the figures to be considered similar.

Front

How can you use proportions to solve for missing side lengths in similar figures?

Back

Set up a proportion using the lengths of corresponding sides and solve for the unknown length.