Included Angle of a Triangle: Definition & Overview


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question 1 of 3

Which angle is the included angle for sides b and c?

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1. Are these two triangles congruent?

2. Are these triangles similar?

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About This Quiz & Worksheet

The included angle of a triangle is an important part of proofs in geometric theorems. This quiz and worksheet will allow you to test your understanding of how to use your knowledge on included angles. The quiz questions will test you on identifying included angles, identifying congruent and similar triangles, and how to use the included angle of a triangle to define the triangle's area.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Identifying included angles
  • Defining congruent and similar triangles
  • Determining the area of a triangle given the included angle

Skills Practiced

This quiz and worksheet will allow you to test your skills in the following areas:

  • Reading comprehension - ensure that you've drawn the most important information about included angles from the related lesson
  • Critical thinking - apply relevant concepts to examine information about congruent triangles in a different light
  • Problem solving - use your acquired knowledge to solve practice problems involving included angles
  • Information recall - access the knowledge you've gained regarding included angles and their uses to answer questions

Additional Learning

To learn more about included angles, review the accompanying lesson Included Angle of a

Triangle: Definition & Overview. This lesson covers the following objectives:

  • Define included angles of triangles
  • Determine the use of included angles of triangles in proofs of geometric theorems
  • Understand how to use included angles to determine the area of a triangle
  • Define and understand congruence and similarity as these concepts relate to included angles of triangles