Chapter 6.4, Problem 33E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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Two congruent circles,

To determine

**To construct:**

A common external tangent for congruent circles

Explanation

**Given:**

Two congruent circles,

**Properties Used:**

The line that is perpendicular to the radius of a circle at its endpoint on the circle is a tangent to the circle. In the given figure,

A tangent of two circles is a common external tangent if the intersection of the tangent and the line segment joining the centers is empty as shown in the figure below

**Construction Strategy:**

i) Draw the given congruent circles

ii) Draw a line

iii) Construct perpendicular at point

iv) Similarly, construct perpendicular at point

v) Join

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