Question 1

In the diagram, Triangle ABC and Triangle DEC are similar.  Which ratio could be used to find the length of  $\overline{AC}$ ?

Accepted Answer

$\frac{21}{7} = \frac{AC}{24}$

Answer

$\frac{21}{24} = \frac{7}{AC}$

Answer

$\frac{21}{7} = \frac{24}{AC}$

Answer

$\frac{7}{24} = \frac{AC}{21}$

Question 2

Coach Smith created two similar jump boxes for use in off season drills.  Which proportion can be used to find h, the height of the smaller box?

Accepted Answer

$\frac{24}{36} = \frac{18}{h}$

Answer

$\frac{12}{24} = \frac{h}{18}$

Answer

$\frac{12}{36} = \frac{18}{h}$

Answer

$\frac{h}{24} = \frac{18}{36}$

Question 3

In the diagram, Pentagon FGHIJ is similar to Pentagon PQRST.  Which proportion could be used to find the length of $\overline{PT}$?

Accepted Answer

$\frac{5}{3} = \frac {4}{PT}$

Answer

$\frac{5}{2.5} = \frac {7}{PT}$

Answer

$\frac{7}{3} = \frac {4}{PT}$

Answer

$\frac{5}{7} = \frac {4}{PT}$

Question 4

In the diagram, Triangle XYZ is dilated, resulting in Triangle X'Y'Z'.  Based on the diagram, which ratios must be proportional?

Accepted Answer

$\frac{XY}{X'Y'} and \frac{XZ}{X'Z'}$

Answer

$\frac{XY}{YZ} and \frac{X'Y'}{XY}$

Answer

$\frac{XY}{X'Y'} and \frac{X'Z'}{XZ}$

Answer

$\frac{XY}{YZ} and \frac{XY}{X'Y'}$

Question 5

In the diagram, Triangle ABC and Triangle XYZ are similar.  Which equation could be used to find the length of $\overline{YZ}$ in inches?

Accepted Answer

$\frac{18}{12} = \frac{12}{YZ}$

Answer

$\frac{12}{18} = \frac{12}{YZ}$

Answer

$\frac{8}{18} = \frac{12}{YZ}$

Answer

$\frac{18}{8} = \frac{12}{YZ}$

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