Geometry: Common Core (15th Edition)

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

Chapter 5 - Relationships Within Triangles - Common Core Cumulative Standards Review - Selected Response - Page 346: 2

Answer

$I$

Work Step by Step

Let's evaluate the four statements to see which one is false: Option $F$ is true. All sides of an equilateral triangle are congruent. Option $G$ is true. An equilateral triangle can be isosceles because in an isosceles triangle, at least two of the sides must be congruent. Option $H$ is true. An equilateral triangle is also equiangular. Option $I$ is false. If all angles of an equilateral triangle are congruent, then each angle must be a third of $180^{\circ}$, which is the exact sum of all the interior angles of any triangle. This means that each angle in an equilateral triangle can be exactly $60^{\circ}$, no more and no less.
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