# Chapter 5 - Linear Functions - 5-6 Parallel and Perpendicular Lines - Lesson Check - Page 333: 4

a. These two numbers are opposite reciprocals. b. These two numbers are not opposite reciprocals. c. These two numbers are not opposite reciprocals.

#### Work Step by Step

a. We can check if two numbers are opposite reciprocals by multiplying them together to see if their product equals $-1$. $-2(\frac{1}{2})$ Multiply to simplify: $-\frac{2}{2}$ Simplify the fraction: $-1$ The product of the two numbers is $-1$; therefore, these two numbers are opposite reciprocals. b. We can check if two numbers are opposite reciprocals of one another by multiplying them together to see if their product equals $-1$. $(\frac{1}{4})(4)$ Multiply to simplify: $\frac{4}{4}$ Simplify the fraction: $1$ The product of the two numbers is not $-1$; therefore, these two numbers are not opposite reciprocals. c. We can check if two numbers are opposite reciprocals of one another by multiplying them together to see if their product equals $-1$. $5(-5)$ Multiply to simplify: $-25$ The product of the two numbers is not $-1$; therefore, these two numbers are not opposite reciprocals.

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