Similar Figures

Front

Define similar figures.

Back

Two figures that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

All corresponding angles are equal.

Tags

CCSS.HSG.SRT.A.2

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.

Tags

CCSS.HSG.SRT.A.2

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 the sides of two similar rectangles are in the ratio 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 3²:5² or 9:25.

Front

What is the missing side if triangle XYZ is similar to triangle PQR and XY = 6 cm, YZ = 9 cm, and PR = 12 cm?

Back

The missing side XZ = 8 cm.

Tags

CCSS.HSG.SRT.A.2

Front

True or False: Similar figures can be congruent.

Back

False. Similar figures have the same shape but are not necessarily the same size.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the scale factor between two similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of the two figures.

Tags

CCSS.7.G.A.1

Front

If a tree's height is represented as h and it is similar to a 10 ft tall tree, and the ratio of their heights is 2:1, what is h?

Back

h = 20 ft.

Tags

CCSS.7.G.A.1