Geometry: Common Core (15th Edition)

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

Chapter 1 - Tools of Geometry - 1-2 Points, Lines, and Planes - Got It?: 3

Answer

a) Plane BFG and plane BFE b) Because two points form a line and two planes intersect in a line.

Work Step by Step

a) $\overset\longleftrightarrow{BF}$ is part of the right side of the cube and part of the front of the cube. The right and front are each part of a plane. Those planes can be named by any 3 points that make up those sides. b) Postulate 1.3 tells us the intersection of two planes is a line. Postulate 1.1 tells us that a line can be defined by any two points the line passes through.
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