Concept explainers
a)
To state: the converse of the given statement.
a)
Answer to Problem 11WE
If two arcs of a
Explanation of Solution
Given Information:
If two chords of a circle are parallel the two arcs between the chords are congruent.
Calculation:
If two arcs of a circle are congruent the two chords forming the arcs are parallel.
b)
Whether the converse true or false, explain.
b)
Answer to Problem 11WE
The converse of this theorem is false.
Explanation of Solution
Given Information:
If two arcs of a circle are congruent the two chords forming the arcs are parallel.
Calculation:
The converse of this theorem is false as the cords of a circle can be congruent but not necessarily parallel.
However, if the chords are congruent, they will always be equidistant from the center.
Chapter 9 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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