   Chapter 6.2, Problem 39E 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

In Exercises 39 to 47 , provide a paragraph proof. Be sure to provide a drawing, Given, and Prove where needed.If two parallel lines intersect a circle, then the intercepted arcs between these lines are congruent.(HINT: See Figure 6.36 on page 294 . Draw chord A D ¯ .)

To determine

To provide:

A paragraph proof for the statement “If two parallel lines intersect a circle, then the intercepted arcs between these lines are congruent”.

Explanation

Calculation:

Consider the below figure,

Proof:

 Given: AB¯∥CD¯Prove: AC⌢≅BD⌢ Given: Draw chord AD¯ m∠DAB=m∠ADC By alternate interior angles theorem

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