8. Similarity

8.02 Similarity transformations

8.03 Similar figures

8.04 Identifying similar triangles

8.05 Proving triangles similar

8.06 Applications of similar triangles

8.07 Perimeters and areas of similar figures

Investigation: Estimate distances using similar triangles

Investigation: Photogrammetry

United States of America UT

Math II

8.07 Perimeters and areas of similar figures

Interactive practice questions

Consider the two similar rectangles shown in the figure.

Two similar rectangles are oriented such that their longer sides are horizontal. The rectangle on the left is smaller and is labeled A. Rectangle A measures $6$6 cm in length and $3$3 cm in width. The rectangle on the right is larger and is labeled B. Rectangle B measures $12$12 cm in length and $6$6 cm in width.

a

Find the area of Rectangle A.

Area A = $\editable{}$cm²

b

Find the area of Rectangle B.

Area B = $\editable{}$cm²

c

What is the ratio of the area of Rectangle A to Rectangle B?

d

Is it true in this case that if the matching sides of two similar figures are in the ratio $m:n$m:n, then their areas are in the ratio $m^2:n^2$m2:n2?

True

A

False

B

Easy

2 min

The figures in each pair are similar. By first finding the ratio of the sides, what is the value of the variable?

Easy

2 min

Find the value of $x$x in each of the following cases:

Easy

3 min

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