   Chapter 6.CT, Problem 13CT Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Construct the tangent line to   ⊙ P at point X . To determine

To construct:

The tangent line to P at point X.

Explanation

Given:

P is a circle with point X on it.

Theorem used:

“The line that is perpendicular to the radius of a circle at its endpoint on the circle is a tangent to the circle”.

Approach:

Let us construct a tangent line to P at point X based on the theorem “The line that is perpendicular to the radius of a circle at its endpoint on the circle is a tangent to the circle”.

Construction:

Step 1:

Consider P with point X.

Step 2:

Draw radius PX¯ and extent it to the form PX.

Step 3:

Using X as a center and any length which is less than PX as radius, draw two arcs which intersects the line segment PX at points Y and Z

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