Similar Figures 2

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 ratios of their corresponding sides are proportional.

Front

What is the criteria for two figures to be similar?

Back

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

Front

If two triangles are similar, what can be said about their angles?

Back

If two triangles are similar, all corresponding angles are equal.

Front

If triangle ABC is similar to triangle DEF, what can be said about the sides?

Back

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

Front

Solve for x: If two similar triangles have sides 3 cm and x cm, and the other sides are 6 cm and 12 cm, what is x?

Back

x = 6 cm.

Front

What does it mean if the ratios of corresponding sides of two figures are not equal?

Back

If the ratios of corresponding sides are not equal, the figures are not similar.

Front

Find the missing side: If triangle XYZ is similar to triangle PQR and XY = 4 cm, PQ = 8 cm, and YZ = x cm, what is x if RQ = 6 cm?

Back

x = 12 cm.

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 sides.

Front

If the sides of two similar rectangles are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 4:9.

Front

Solve for x: If triangle ABC has sides 5 cm, 12 cm, and x cm, and is similar to triangle DEF with sides 10 cm, 24 cm, and 2x cm, what is x?

Back

x = 6 cm.