Proving Angle-Side Relationships in Triangles

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question 1 of 3

Consider the following two triangles: ΔFGH and ΔJKL. You know that FG ≅ JK and FH ≅ JL. You also know that m∠F > m∠J. Which of the following statements has to be true?

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1. Consider the two triangles: ΔNEW and ΔCAR. You know that NE ≅ CA and EW ≅ AR. You also know that NW = 15 and CR = 11. Which of the following statements has to be true?

2. Use an indirect proof to show that a triangle cannot have two right angles: ΔABC. Which assumption could you make when beginning this type of proof?

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About This Quiz & Worksheet

This quiz contains multiple-choice questions on proving angle-side relationships in triangles to assess your understanding. This quiz is designed to help you study by asking you about subjects such as how the angles compare between two example triangles and the assumption made when using an indirect proof to prove that m and n are odd integers.

Quiz & Worksheet Goals

Use this quiz to see how well you can identify:

  • True statements about the sides of two example triangles
  • A true statement about the angles in two example triangles
  • Which assumption is made when beginning a proof to show that a triangle cannot have two right angles
  • Which assumption you'd make when using an indirect proof to prove that m and n are odd integers
  • The way in which the angles compare from an example image of two triangles

Skills Practiced

  • Reading comprehension - ensure that you draw the most important information from the related lesson about angle-side relationships in triangles
  • Knowledge application - use your knowledge to answer questions about true statements associated with the sides of example triangles
  • Interpreting information - verify that you can read information regarding the angles of example triangles and interpret it correctly

Additional Learning

Our helpful lesson titled Proving Angle-Side Relationships in Triangles can easily teach you more about this subject. Once you complete this lesson, you should be ready to:

  • Outline the hinge theorem and recognize a real-life example of it
  • Explain what the triangle inequality theorem says about the shortest angle in the triangle
  • Give another name for indirect proofs
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