Name: ______Date: ______Geometry

CHAPTER 7 TEST – SIMILARITY REVIEW

For #1 -3, show all of your work in the space provided for each question. Circle your final answers. Be sure to include units when necessary.

  1. An adult female panda weighs 200 pounds. Its newborn baby weighs only 4 pounds. What is the ratio of the weight of the adult panda to the weight of the baby panda? Make sure your ratio is in reduced form!
  2. An animal shelter has 104 cats and dogs. The ratio of cats to dogs is 5 : 3. How many cats are at the shelter?
  3. The sides of a triangle are in the extended ratio of 3 : 2 : 4. If the perimeter is 27 centimeters, what is the length of the longest side?

For #4-6, solve each proportion. If necessary, write your answer as a decimal rounded to the tenths place.

  1. 5. 6.
  1. Are the polygons similar? If they are similar, write a similarity statement and give the scale factor of the smaller figure to the larger figure. If not, explain.
  2. . What is the value of x? If necessary, write your answer as a decimal rounded to the tenths place.
    x = ______


For #9-12, determine whether the triangles are similar. If so, write the similarity statement and name the postulate or theorem you used.

  1. 10.

Similar? Yes or No Similar? Yes or No
Similarity Statement? Similarity Statement?
Postulate/Theorem? ______Postulate/Theorem? ______

  1. 12.

Similar? Yes or No Similar? Yes or No
Similarity Statement? Similarity Statement?
Postulate/Theorem? ______Postulate/Theorem? ______

For #13- 14, show all of your work in the space provided. Be sure to include units. If necessary, write your answer as a decimal rounded to the tenths place.

  1. A person 2 meters tall casts a shadow 5 meters long. At the same time, a building casts a shadow 24 meters long. How tall is the building? Show all of your work in the space provided.
  2. A pie shop sold a total of 117 pies in one day. The pies were apple and cherry. If the ratio of apple pies sold to cherry pies is 4 : 9, how many apple pies were sold?

For #15 -18, find the values of the variables.When necessary, write answers in simplest radical form.

  1. 16.

x = ______x = ______, y = ______

  1. 18.

x = ______x = ______, y = ______, z = ______

For #19 - 20, find the missing variable.

  1. 20.

x = _____