The HA (Hypotenuse Angle) Theorem: Proof, Explanation, & Examples


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

question 1 of 3

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

Create Your Account To Take This Quiz

As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Try it risk-free
Try it risk-free for 30 days. Cancel anytime
Already registered? Log in here for access

1. You are given that angle B and E are right angles and that the hypotenuses of the triangles are congruent. Which of these is additional information that will help you prove that triangle ABC is congruent to triangle DEF using the HA theorem?

2. You want to try to prove that triangles PQS and PRS are congruent using the HA theorem. You are given that angle P and angle S are congruent and the triangles share a hypotenuse which means the hypotenuses are congruent. What additional information do you need in order to use the HA theorem?

Create your account to access this entire worksheet
A Premium account gives you access to all lesson, practice exams, quizzes & worksheets
Access to all video lessons
Quizzes, practice exams & worksheets
Certificate of Completion
Access to instructors
Create an account to get started Create Account

About This Quiz & Worksheet

The hypotenuse angle theorem is a key component to knowing if two triangles are congruent, and this quiz will test you on that very theorem.

Quiz & Worksheet Goals

This hypotenuse angle theorem quiz tests your ability to:

  • Recall the types of triangles that the hypotenuse angle theorem applies to
  • Know what additional information is needed to prove that two given triangles are congruent using the hypotenuse angle theorem
  • Determine what must also be true if a given triangle is congruent to another triangle
  • Understand what is and is not true if a given triangle is congruent to another triangle

Skills Practiced

  • Reading comprehension - draw from relevant information in the lesson on the hypotenuse angle theorem
  • Critical thinking - use this information to consider if something is or is not true considering that one triangle is congruent to another
  • Information recall - remember the knowledge you have gained regarding the HA theorem

Additional Learning

The lesson called The HA (Hypotenuse Angle) Theorem: Proof, Explanation & Examples covers the following objectives to help you learn more:

  • Define the hypotenuse angle theorem
  • Explain how to prove the theorem
  • Review practice proofs