Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but different sizes. Their corresponding angles are equal, and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If Triangle ABC is similar to Triangle XYZ, and the sides of Triangle ABC are 12, 18, and 24, what are the corresponding sides of Triangle XYZ if the shortest side is 18?

Back

The sides of Triangle XYZ would be 18, 27, and 36, maintaining the same ratio.

Tags

CCSS.HSG.SRT.A.2

Front

True or False: Similar figures can have different shapes.

Back

False: Similar figures must have the same shape.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the ratio of the sides of two similar triangles?

Back

The ratio of the sides of two similar triangles is constant and is equal to the ratio of any pair of corresponding sides.

Tags

CCSS.HSG.SRT.A.2

Front

If Triangle ABC is similar to Triangle DEF and the length of side AB is 10 and side DE is 15, what is the scale factor?

Back

The scale factor is 1.5 (15/10).

Tags

CCSS.HSG.SRT.A.2

Front

How do you find the missing side of a similar triangle?

Back

To find the missing side, set up a proportion using the lengths of the corresponding sides of the similar triangles.

Tags

CCSS.HSG.SRT.A.2

Front

If Triangle ABC is similar to Triangle JKL and the lengths of sides are in the ratio 2:3, what is the length of side JK if side AB is 8?

Back

Side JK would be 12 (8 * 3/2).

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If Triangle ABC has sides 6, 8, and 10, and Triangle DEF is similar to Triangle ABC with a scale factor of 2, what are the lengths of the sides of Triangle DEF?

Back

The sides of Triangle DEF would be 12, 16, and 20.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

The ratio of their perimeters is the same as the ratio of their corresponding sides.