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 347: 6



Work Step by Step

The angle bisector theorem states that a point that is located on an angle's bisector is equidistant from the angle's sides. In this diagram, we see that a ray is the angle bisector of an angle. We also see a point that is on the angle bisector. Therefore, we know that this point is equidistant from each side of the angle. Let us set the distance from the point to one side of the angle equal to the distance of the point from the other side of the angle: $2y = 5y - 7$ $-3y = -7$ $y = \frac{7}{3}$ This answer corresponds to option $H$.
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