7-5 Live Review

7-5 Live Review

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Q1: A recipe for 2.5 dozen whole-wheat muffins requires 600 g of flour. How many muffins can be made with 900 g of flour?

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Q2:

Q2:  Scale Factor

 $\frac{7}{2}$  of A to B.

• The perimeter of B is 35.

• Set up a proportion: $\frac{7}{2}=\frac{P}{35}$  

•  $2p=245$  

• p = 122.5

• The perimeter of A is 122.5.

Multiple Choice

Q3: Determine whether the triangles are similar.

• Yes, AA~

• Yes, SSS~

• Yes, SAS~

• Not similar.

Q3: Are they similar?

• What do we look for when lines are parallel?

Multiple Choice

Q4:  Determine if $\overline{ST}\ \parallel\ \overline{PR}$ . If yes, what theorem justifies your answer?

• Not Similar

• Yes, Triangle Proportionality Theorem

• Yes, Triangle Proportionality Converse

• Yes, Triangle Midsegment Theorem

• Yes, Proportional Parts & Parallel Lines Theorem

Q4:  Write a proportion.

•  $\frac{SQ}{PS}=\frac{TQ}{RT}$  

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Q5:  Use the Triangle Midsegment Theorem to solve for x.

Q5: Triangle Midsegment Theorem

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Q6: Find the height of the tree.

Q6:  Write a proportion.

•  $\frac{Person\ Shadow}{Tree\ Shadow}=\frac{Person\ Height}{Tree\ Height}$  
  

•  $\frac{8}{24}=\frac{5}{h}$  

•  $8h=120$  

•  $h=15\ feet$  

Last Question!

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Q7: A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

Q7: A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building?

•  $\frac{Tree\ Shadow}{Building\ Shadow}=\frac{Tree\ Height}{Building\ Height}$  

•  $\frac{9}{24}=\frac{12}{h}$  

•  $h=32\ feet$  

Now for 7-5!