Chapter 11.2-11.4 Review

Which answer is not a valid reason why the two rectangles are similar?

• $\frac{2}{3}=\frac{4}{6}$

• $\frac{4}{2}=\frac{6}{3}$

• $\frac{2}{4}=\frac{3}{6}$

• $\frac{3}{4}=\frac{2}{6}$

Find the perimeter of the larger pentagon, if the two pentagons are similar.

Find x.

The lengths of the corresponding sides of two similar trapezoids are in ratio 3:5. If the area of the smaller trapezoid is 63 square meters, what is the area of the larger trapezoid?

The dimensions of a small pyramid are one-third the dimensions of a larger pyramid. If the volume of the larger pyramid is 540 cubic cm, what is the volume of the smaller pyramid?

Two cones are similar. One has a radius of 3 cm, while the other has a radius of 4 cm. The volume of the larger cone is  $640\pi\ \ cm^3$  . Find the height of the smaller cone.

The two quadrilaterals are similar. Find x.

The Sattler family paid $150 to a painting contractor to stain their 20-by-20 foot deck. The Dossett's have a similar deck that measures 30 feet by 30 feet. How much should the Dossett's expect to pay to have their deck stained?

What is the measure of x?