Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 1 - Section 1.6 - Relationships: Perpendicular Lines - Exercises: 11

Answer

Statements 4. m$\angle$1=m$\angle$2 5. $\angle$1≅$\angle$2 Reasons 1. Given 3. Substitution Property of Equality

Work Step by Step

Statement 1 is given in the problem. Statement 3 can be made by substituting 90$^{\circ}$ for m$\angle$2+m$\angle$3. Statement 4 is reached using the Subtraction property of Equality to subtract m$\angle3$ from both sides of the equation. Statement 4 is the desired conclusion that can be proven using the definition of congruent angles.
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