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High School Core Standards - Geometry Assessment Anchors

6.05 Perimeters and areas of similar figures

Interactive practice questions

Consider the two similar rectangles shown in the figure.

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
2min

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

Easy
2min

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

Easy
3min
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Outcomes

G.1.3.1.1

Identify and/or use properties of congruent and similar polygons or solids.

G.1.3.1.2

Identify and/or use proportional relationships in similar figures.

G.2.2.3.1

Describe how a change in the linear dimension of a figure affects its perimeter, circumference, and area (e.g., How does changing the length of the radius of a circle affect the circumference of the circle?).

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