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 the ratios of their corresponding sides are proportional.

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 two corresponding sides of similar figures. It indicates how much one figure has been enlarged or reduced compared to the other.

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 ratios of their corresponding sides are equal.

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

Proportional sides mean that the lengths of corresponding sides of similar figures maintain a constant ratio.

Tags

CCSS.HSG.SRT.A.2

Front

If a triangle has sides of lengths 3, 4, and 5, 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, 8, and 10.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If two triangles are similar and the length of one side of the first triangle is 5 cm, and the scale factor is 3, what is the length of the corresponding side in the second triangle?

Back

The length of the corresponding side in the second triangle would be 15 cm.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between corresponding angles in similar figures?

Back

In similar figures, corresponding angles are always equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If the scale factor of two similar figures is 1/2, how does the area of the smaller figure compare to the larger figure?

Back

The area of the smaller figure is 1/4 the area of the larger figure, since area scales with the square of the scale factor.

Tags

CCSS.7.G.A.1

Front

True or False: The ratios of the corresponding sides of similar figures are always equal.

Back

True.

Tags

CCSS.HSG.SRT.A.2

Front

If a rectangle has a length of 10 cm and a width of 5 cm, what are the dimensions of a similar rectangle with a scale factor of 1/2?

Back

The dimensions of the similar rectangle would be 5 cm (length) and 2.5 cm (width).

Tags

CCSS.7.G.A.1