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 in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the scale factor in similar figures?

Back

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

Tags

CCSS.7.G.A.1

Front

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

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

How do you find the area of similar figures?

Back

To find the area of similar figures, use the formula: Area of figure 1 / Area of figure 2 = (Scale factor)^2.

Front

What is the relationship between the lengths of corresponding sides in similar figures?

Back

The lengths of corresponding sides in similar figures are proportional to each other.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If a rectangle has a width of 4 cm and a length of 6 cm, what is the scale factor if a similar rectangle has a width of 2 cm?

Back

The scale factor is 1/2, since 2 cm (new width) / 4 cm (original width) = 1/2.

Tags

CCSS.7.G.A.1

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = length × width.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

If a triangle has sides of lengths 3 cm, 4 cm, and 5 cm, what are the lengths of the sides of a similar triangle with a scale factor of 2?

Back

The lengths of the sides of the similar triangle would be 6 cm, 8 cm, and 10 cm.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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 a blueprint in relation to similar figures?

Back

A blueprint is a scaled drawing that represents an object, where the dimensions are proportional to the actual dimensions of the object.

Tags

CCSS.7.G.A.1