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The HL (Hypotenuse Leg) Theorem: Definition, Proof, & Examples

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

The hypotenuse leg theorem is only applicable with which of the following types of triangles?

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1. What additional information do you need to prove that triangle ABC is congruent to triangle DEF using the HL theorem?

2. What additional information do you need to prove that triangle ACD is congruent to triangle DBA using the HL theorem?

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About This Quiz & Worksheet

You will be assessed on your understanding of the relationship between the theorem and triangles and the information you need in order to solve the equation via practice problems.

Quiz & Worksheet Goals

These assessments will challenge you on topics like:

  • The different types of triangles
  • Congruence
  • Necessary elements of the equation

Skills Practiced

  • Problem solving - use acquired knowledge to solve hypotenuse leg theorem practice problems
  • Distinguishing differences - compare and contrast topics from the lesson, such as Pythagorean theorem and hypotenuse leg theorem
  • Information recall - access your prior knowledge of congruence

Additional Learning

If you're interested in learning more about this theorem, take a look at the accompanying lesson titled The HL (Hypotenuse Leg) Theorem: Definition, Proof, & Examples. Content covered in the lesson will include:

  • The applications of the hypotenuse leg theorem
  • How it differs from the Pythagorean theorem
  • The triangle(s) you can use it for
  • Your understanding of congruence
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