Similarity Review

the line connecting two sides of this triangle is parallel to the third side. Find the missing side length

• 26

• 27.6

• 25.2

• 28.8

• 
  

  $\frac{L'N'}{M'L'}=\frac{LN}{ML}$
  

• $\frac{M'N'}{M'L'}=\frac{ML}{MN}$

• $\frac{LN}{L'N'}=\frac{M'L'}{ML}$

• $\frac{NL}{N'L'}=\frac{NM}{N'M'}$

• $\frac{L'M'}{LM}=\frac{N'M'}{NM}$

Answer explanation

Remember when writing proportions, you can use the similar parts from each shape to form the ratios, or you can use a single shape as a ratio of the other shape

• 6

• 
  

  $\frac{1}{6}$
  

• $\frac{30}{4}$

• $\frac{4}{30}$

Answer explanation

Because you are being asked to go from the big triangle to the smaller triangle your scale factor needs to be less than one.

Pythagorean Theorem works for which type of triangles

• All

• scalene

• right

• isosceles

What is the scale factor of Triangle PQT to Triangle PRS?

• 4:1

• 2:1

• 1:2

• 3:5

Which of the following statements is not true, given  $\angle\ A\ \cong\ \angle\ X$  and  $\angle\ B\ \cong\ \angle\ Y$  ?

•  $\angle\ C\ \cong\ \angle\ Z$  

•  $\Delta\ ABC\ \sim\ \Delta XYZ$  

•  $\Delta ABC\ \cong\ \Delta XYZ$  

•  $AC\ \sim\ XZ$  

What is the value of x?

• 11

• 8

• 9

• 10

Find the scale factor from ∆ABC to ∆DEF.

If ∆ABC ~ ∆DEF, list all pairs of congruent angles.

Find the height of the tree.

• 8 ft

• 12 ft

• 13 ft

• 15 ft