Free Printable Proportionality & Dilations 8.3A

1.

Figure I and Figure II are similar figures. What proportion must be true?

a)

$\frac{RS}{AB}=\frac{TU}{CD}$

b)

$\frac{TU}{AB}=\frac{UV}{AB}$

c)

$\frac{ST}{EF}=\frac{WR}{CD}$

d)

$\frac{WV}{AB}=\frac{ST}{EF}$

2.

Figure I and Figure II are similar quadrilaterals. Which proportion must be true?

a)

$\frac{a}{b}=\frac{8}{2}$

b)

$\frac{3.2}{2}=\frac{a}{8}$

c)

$\frac{b}{6.4}=\frac{8}{5}$

d)

$\frac{2}{3.2}=\frac{b}{a}$

3.

Figure ABCDE is similar to figure VWXYZ. Which proportion must be true?

a)

$\frac{AE}{XY}=\frac{CD}{VZ}$

b)

$\frac{AB}{VW}=\frac{YZ}{DE}$

c)

$\frac{BC}{XY}=\frac{DE}{YZ}$

d)

$\frac{AB}{VW}=\frac{CD}{XY}$

4.

In the diagram a person who is 6 ft tall is standing on the ground 3 feet away from point P. A line segment drawn from the top corner of the building to point P creates two similar triangles. Which proportion can be used to find h, the height of the building in feet?

a)

$\frac{3}{h}=\frac{18}{6}$

b)

$\frac{6}{3}=\frac{h}{18}$

c)

$\frac{3}{15}=\frac{h}{6}$

d)

$\frac{6}{3}=\frac{18}{h}$

5.

Figure I and Figure II are similar pentagons. Which proportion must be true?

a)

$\frac{y}{x}=\frac{4.2}{3.15}$

b)

$\frac{6}{x}=\frac{5.25}{7}$

c)

$\frac{y}{6}=\frac{7}{5.25}$

d)

$\frac{x}{4}=\frac{3}{6}$

Proportionality & Dilations 8.3A

Total questions: 5

Worksheet time: 10mins

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