Unit 12 Lesson 1 Tangent Lines
Unit 12 Lesson 1: Tangent Lines
Lesson Overview
Tangent Lines
What You Will Learn
- using properties of a tangent to a circle
- finding distances using a circle, its radii, and tangent lines
Overview
In this lesson, you will learn how to use the properties of a tangent to a circle. You will show your learning by finding distances using a circle, its radii, and tangent lines.
Essential Understanding
The radius of a circle and the tangent that intersects the endpoint of the radius on the circle have a special relationship.
- Read Pages 492-499 in your course textbook.
This course is based on a textbook that is viewable by clicking on the textbook icon. Keep the textbook open while you go through the lesson so that you may refer to it throughout the lesson.
Lesson 1: Tangent Lines
Resource Video (Tangent Lines)
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Prepare for Application
Instructions
You have now studied Tangent Lines. It is now time to demonstrate your learning.
Try the activities below on your own. You should be able to answer these before beginning the practice.
Do these activities in your journal.
- is tangent to . What is the value of x?
- Consider a quadrilateral like the one in Problem 1 on page 763. Write a formula to find the measure of any angle x formed by two tangents when you know the measure of the central angle c whose radii intersect the tangents.
What is the distance to the horizon can a person see on a clear day from an airplane 2 mi above Earth? Earth's radius is about 4000 mi.
What is the radius of in the diagram below?
In the diagram below, is tangent to at L? Explain.
The diagram below, is inscribed in , which has a perimeter of 88 cm. What is the length of ?
