CFU 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 side lengths are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the scale factor?

Back

The scale factor is a ratio that compares the lengths of corresponding sides of two similar figures. It indicates how much one figure has been enlarged or reduced compared to the other.

Tags

CCSS.7.G.A.1

Front

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

Back

If two figures are similar, their corresponding angles are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If the scale factor from figure A to figure B is 3/2, what does this mean?

Back

This means that each side of figure B is 1.5 times longer than the corresponding side of figure A.

Tags

CCSS.7.G.A.1

Front

How do you find the missing perimeter of a similar figure?

Back

To find the missing perimeter, use the scale factor to relate the perimeters of the two figures. If the scale factor is known, multiply the known perimeter by the scale factor.

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 scale factor.

Front

If the side lengths of two similar figures are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of their areas will be 4:9, since (2/3)² = 4/9.

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 formula for finding the area of a rectangle?

Back

Area = length × width.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

If the perimeter of a rectangle is 30 cm, what could be the dimensions if it is similar to another rectangle with a perimeter of 60 cm?

Back

The dimensions could be half of the dimensions of the larger rectangle, maintaining the same ratio.