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 their corresponding sides are proportional.

Front

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

Back

It means that the ratios of the lengths of corresponding sides of the figures are equal.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Front

True or False: The angles of similar figures are always equal.

Back

True.

Front

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

Back

You can use the proportionality of the sides. Set up a proportion using the lengths of the corresponding sides.

Front

What is the perimeter of a triangle if its sides are in the ratio 2:3 and the perimeter of the smaller triangle is 30 cm?

Back

The perimeter of the larger triangle is 45 cm.

Front

If triangle PQR is similar to triangle XYZ and the perimeter of triangle PQR is 42 cm, what is the perimeter of triangle XYZ if the ratio of similarity is 3:2?

Back

The perimeter of triangle XYZ is 28 cm.

Front

What is the missing side length if triangle ABC is similar to triangle DEF, where AB = 5 cm, DE = 10 cm, and DF = 8 cm?

Back

The missing side length CF = 4 cm.

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 proportional.

Front

If two similar rectangles have a length ratio of 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 9:25.