Inequality Theorems for Two Triangles

Instructions:

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question 1 of 3

If Side X is congruent to Side Q and Side Y is congruent to Side R, and Angle L is greater than Angle M, then...

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1. Given that Side Z is longer than Side S, and Side Q is congruent to Side X, what additional piece of information would you need to prove that Angle L is larger than Angle M?

2. Angle Y equals Angle X, and Angle A equals Angle B. Side YZ is congruent to Side BC. Side YX is shorter than Side BA. Which of the following must be true?

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About This Quiz & Worksheet

To understand how well you grasp the theorems of triangle inequality, complete this quiz and worksheet. You will be given examples of sides and angles and asked about congruence and angle measurements. You will also need to explain relationships between theorems.

Quiz & Worksheet Goals

This quiz and worksheet combo will ask you questions related to topics listed below:

  • Comparing lengths of triangle sides
  • Comparing angle measurements of triangles
  • Comparing the SSS Theorem to the SAS Theorem

Skills Practiced

This quiz and worksheet will help you practice the following skill sets:

  • Distinguishing differences - compare and contrast the SSS and SAS Theorems
  • Knowledge application - use your knowledge to identify another name for the SAS Theorem
  • Problem solving - use acquired knowledge to solve practice problems involving the triangle inequality theorems

Additional Learning

To find out more about these theorems, check out the lesson Inequality Theorems for Two Triangles. You will be able to do the following after watching the video lesson:

  • Perform practice problems with triangles
  • Explore the relationship between angles in different types of triangles
  • Determine when to use different theorems
  • Understand where to look for angles and sides
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