Similar Figures, Proportions

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 corresponding sides are proportional.

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if the ratios of their corresponding sides are equal.

Front

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

Back

To find a missing side 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

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 and side DE is 9, what is the scale factor?

Back

Front

How do you determine if two figures are similar?

Back

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

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 is the ratio of their areas?

Back

Front

What is the missing side if triangle XYZ is similar to triangle PQR, with sides XY = 4, YZ = 6, and PR = 9?

Back

Front

If two similar rectangles have lengths of 10 and 15, what is the ratio of their widths if the width of the smaller rectangle is 4?

Back