HG 7-4 Live Review

HG 7-4 Live Review

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Q1: Solve for x. If there is more than one solution, enter one of them.

Q1:   $\frac{x-9}{3}=\frac{56}{x+4}$  

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   $\left(x-17\right)\left(x+12\right)=0$  

•  $x=17,-12$  

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Q2: The ratio of the measures of two complementary angles is 7:8. What is the measure of the smaller angle?

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Q3: The polygons are similar. What is the scale factor of A to B?

Q3: What is the scale factor of A to B?

• Which sides correspond?

•  $\frac{2}{8}=\frac{4}{16}=\frac{1}{4}$ 

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Q4:

Q4: Find AC

• Which sides correspond?

•  $\frac{AC}{EC}=\frac{BC}{DC}$  

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•  $AC=70$  

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Q5: Hint: You may need to remember to solve by factoring. (And remember that you can only have positive lengths of sides.)

Q5: Solve for x.

• Which sides correspond?

•  $\frac{QS}{QP}=\frac{ST}{PR}$  

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•  $\left(x+19\right)\left(x-15\right)=0$   $x=-19,\ 15$  

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Q6: The triangles are similar, determine the scale factor.

Q6: What is the scale factor?

• Which sides correspond?

•  $\frac{RN}{MN}=\ \frac{QN}{LN}$  

•  $\frac{48}{60}=\frac{56}{70}=\frac{4}{5}$  

Multiple Choice

Q7: Determine whether the triangles are similar.

• Yes, AA~

• Yes, SSS~

• Yes, SAS~

• Not similar.

Q7: Are they similar?

• Which sides correspond to which sides?

•  $\frac{LK}{LJ}=\frac{LM}{LN}$  

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•  SAS~

Now you are ready for 7-4!