Common Tangent: Definition & Construction


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question 1 of 3

How many points of a circle does a line that is tangent to that circle pass through?

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1. What is the largest number of common tangents two circles of different sizes can have?

2. One circle has a radius of 10 inches and another circle has a radius of 4 inches. Their centers are 5 inches apart. How many common tangents can be drawn for these circles?

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About This Quiz & Worksheet

The quiz and worksheet will test what you know about constructing the common tangent. You will need to know topics like the definition of the common tangent and how the value is determined.

Quiz & Worksheet Goals

Use these study tools to:

  • Compare and contrast common tangent and a standard tangent line
  • Find value of a given common tangent
  • Identify common tangents in given coplanar circles

Skills Practiced

The quiz and worksheet will help you to:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on constructing the common tangent
  • Distinguishing differences - compare and contrast topics from the lesson, such as common tangent and standard tangent line
  • Information recall - access the knowledge you've gained regarding coplanar circles

Additional Learning

Want to read more about constructing the common tangent? Review this lesson entitled Common Tangent: Definition & Construction, which will cover the following:

  • Define common tangent
  • Understand construction
  • Determine common tangents