Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if their corresponding angles are congruent and the lengths of their corresponding sides are in proportion.

Front

If two triangles are similar, what can we say about their angles?

Back

All corresponding angles in similar triangles are congruent.

Front

If triangle ABC is similar to triangle DEF, what can we say about the ratios of their sides?

Back

The ratios of the lengths of corresponding sides of triangle ABC to triangle DEF are equal.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

How do you find a missing side in similar figures?

Back

To find a missing side, set up a proportion using the lengths of corresponding sides and solve for the unknown.

Front

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

Back

This means that for every 3 units in one figure, there are 2 units in the other figure.

Front

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

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.

Front

If two similar polygons have a scale factor of 4:1, what is the ratio of their areas?

Back

The ratio of their areas is 16:1, since (4^2):(1^2) = 16:1.

Front

What is a proportion in the context of similar figures?

Back

A proportion is an equation that states that two ratios are equal, often used to compare corresponding sides of similar figures.