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

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the ratios of the lengths of their corresponding sides are equal.

Front

What is a proportion in the context of similar figures?

Back

A proportion is an equation that states that two ratios are equal. In similar figures, it is used to relate the lengths of corresponding sides.

Front

If two triangles are similar, how do you find a missing side length?

Back

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

Front

What is the formula for finding the scale factor between two similar figures?

Back

The scale factor is found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Front

What does it mean for sides to be proportional?

Back

Sides are proportional when the ratio of the lengths of one pair of corresponding sides is equal to the ratio of the lengths of another pair of corresponding sides.

Front

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

Back

You can set up a proportion using the known side lengths of the similar figures and cross-multiply to solve for the missing side.

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

Back

This means that for every 2 units of length in the first figure, there are 3 units of length in the second figure.

Front

What is the significance of corresponding angles in similar figures?

Back

Corresponding angles in similar figures are equal, which is a key criterion for determining similarity.