Practice Proving Relationships using Congruence & Similarity


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question 1 of 3

Which of these relationships can NOT be used to prove that two triangles are congruent?

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1. The triangles shown below are similar. Find the length of the side labeled x.

2. What kind of triangles have the same size AND shape?

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About This Quiz & Worksheet

This quiz and worksheet checks your understanding of how you can use congruence and similarity to prove relationships among objects. You'll review what it means to be congruent and similar as well as how it helps us understand how two objects are related.

Quiz & Worksheet Goals

The focus of this quiz and worksheet is to assess your knowledge of:

  • Relationships that can be used to prove the congruency of two triangles
  • How to find the length of a triangle by using a similar triangle
  • What triangles that have the same size and shape are called
  • The term for triangles that have the same shape but different sizes

Skills Practiced

  • Information recall - see if you can recall relationships that can be used to prove triangles are congruent
  • Problem solving - use understanding of how to use similarities to determine the length of a triangle's side
  • Interpreting information - verify that you read and were able to correctly interpret what the term for triangles that have the same shape but different sizes is

Additional Learning

If you decide you'd like to study this further, you can look in the accompanying lesson, Practice Proving Relationships using Congruence & Similarity. The lesson covers further detail about:

  • How many measurements need to match in order to qualify a triangle as congruent or similar
  • The combinations of measurements to prove a relationship
  • Understanding how two triangles relate to each other
  • Setting up an equation for similar triangles