Similar Figures & Proportions Giraldi

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 it mean for sides to be proportional?

Back

Sides are proportional when the ratios of the lengths of corresponding sides of similar figures 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 angles?

Back

The corresponding angles of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

How can you find the height of an object using similar triangles?

Back

You can use the properties of similar triangles to set up a proportion based on the heights and distances involved.

Tags

CCSS.HSG.SRT.B.5

Front

What is the formula for finding the length of a side in similar figures?

Back

If two figures are similar, the ratio of corresponding sides is equal to the ratio of their corresponding lengths.

Tags

CCSS.HSG.SRT.A.2

Front

If a rectangular garden is 45 ft wide and 70 ft long, what is the ratio of width to length?

Back

The ratio of width to length is 45:70, which simplifies to 9:14.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.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 a blueprint shows a width of 9 in for a garden that is 45 ft wide, what is the scale factor?

Back

The scale factor is 1 in : 5 ft.

Tags

CCSS.7.G.A.1

Front

How do you set up a proportion to solve for a missing side in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides of the triangles.

Tags

CCSS.HSG.SRT.A.2

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.