Proportional Relationships in Triangles


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question 1 of 3

If two triangles are similar, their ____ will be proportional

A. Largest angles

B. Perimeters

C. Corresponding altitudes

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1. Triangle A and Triangle B are similar. The red lines represent the altitude of each triangle. What is the ratio of CD to EF?

2. The two triangles shown are similar. The green lines represent the angle bisectors. What is the length of side x?

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About This Quiz & Worksheet

Quiz yourself on finding the perimeter, altitude and side lengths of similar triangles. These practice questions ask you to apply geometric principles to sets of proportional triangles.

Quiz & Worksheet Goals

This quiz on proportional triangles will test your ability to:

  • Find the ratio of the altitudes of two similar triangles
  • Calculate the length of a side given a pair of proportional triangles and their angle bisectors
  • Solve for the perimeter of one triangle given the perimeter of a similar triangle

Skills Practiced

  • Critical thinking - apply the rules of similar triangles to a word problem describing two such triangles
  • Problem solving - use your geometry skills to find the perimeter of a triangle and the lengths of sides and altitudes within similar triangles
  • Defining key concepts - identify the characteristics of important terms such as similar triangles

Additional Learning

Read the lesson entitled Proportional Relationships in Triangles to learn more about this topic. Within the lesson, you'll find info about:

  • The definition of triangle-related terms such as corresponding sides and median
  • Using angle bisectors and medians to determine other parts of similar triangles
  • The theorems that apply in proving that two triangles are similar
  • All pieces of similar triangles that are proportional to one another