Similar Figures

Front

What must be true about the sides of similar figures?

Back

Sides in similar figures must be proportional.

Front

What are matching sides in similar figures called?

Back

Corresponding Sides

Front

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

Back

Their corresponding angles are equal.

Front

Find y if the sides of two similar triangles are in the ratio 3:1 and one side is 36. What is y?

Back

y = 12

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 10 and side DE is 5, what is the ratio of their sides?

Back

The ratio of their sides is 2:1.

Front

If the height of a tree is found using a proportion and the answer is 16 ft, what does this represent?

Back

The height of the tree.

Front

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

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

Front

If one side of a similar figure is 8 and the corresponding side in another figure is 4, what is the scale factor?

Back

The scale factor is 2.

Front

If two similar triangles have a scale factor of 3:2, what is the ratio of their perimeters?

Back

The ratio of their perimeters is also 3:2.

Front

If triangle XYZ is similar to triangle PQR and the length of side XY is 15 and side PQ is 10, what is the length of side YZ if side QR is 8?

Back

YZ = 12.