Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 5 - Relationships Within Triangles - 5-2 Perpendicular and Angle Bisectors - Practice and Problem-Solving Exercises - Page 299: 40

Answer

$H$

Work Step by Step

The converse of a statement occurs when we switch the $if$ and $then$ statements of the original statement. Therefore, the converse of the statement puts the "has two congruent sides" in the $if$ portion and the "a triangle is isosceles" in the $then$ portion. The converse of the given statment is as follows: "If a triangle has two congruent sides, then it is an isosceles triangle." This statement corresponds to option $H$.
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