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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does 'corresponding' mean in the context of similar figures?

Back

In the context of similar figures, 'corresponding' refers to matching parts of the figures, such as angles or sides.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is true about the angles of similar figures?

Back

Corresponding angles of similar figures are congruent (equal in measure).

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is true about the sides of similar figures?

Back

Corresponding sides of similar figures are proportional, meaning the ratios of their lengths are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

The lengths of corresponding sides of similar triangles are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 cm and side DE is 9 cm, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 6:9 or 2:3.

Tags

CCSS.HSG.SRT.A.2

Front

What is the scale factor in similar figures?

Back

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

Tags

CCSS.7.G.A.1

Front

If the scale factor of two similar figures is 4:5, and the length of a side in the smaller figure is 10 cm, what is the length of the corresponding side in the larger figure?

Back

The length of the corresponding side in the larger figure is 12.5 cm.

Tags

CCSS.7.G.A.1

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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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.