2:33 PM Wed Feb 19 \( 17 \% \) mylabschool.pearson.com ChatGP \( { }^{-} \) Max Headro... Encore: The... The Mystery... Enter Game... parallel lines... Geometry Period 11 Mckennah Person 02/19/25 2:33 PM This quiz: 23 point(s) \( \equiv \) Quiz: parallel lines chapter quiz Question 4 of 23 possible This question: 1 Submit quiz point(s) possible Question list Question 1 Question 2 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 Question 10 Question 11 The distinct lines a, b, c, and d are in the same plane. Tell how a and d relate. Justify your answer. \[ \mathrm{a} \perp \mathrm{~b}, \mathrm{~b}\|\mathrm{c}, \mathrm{c}\| \mathrm{d} \] Choose the correct answer below. A. a is perpendicular to d because a is parallel to c and c is parallel to d . B. \( a \) is parallel to \( d \) because \( a \) is parallel to \( c \) and \( c \) is parallel to \( d \). C. a is perpendicular to d because a is perpendicular to c and c is parallel to d . D. \( a \) is parallel to \( d \) because \( a \) is perpendicular to \( c \) and \( c \) is parallel to \( d \).

To determine how lines \( a \) and \( d \) relate, we need to analyze the given information about the relationships between the lines \( a \), \( b \), \( c \), and \( d \). Given: - \( a \perp b \) (line \( a \) is perpendicular to line \( b \)) - \( b \parallel c \) (line \( b \) is parallel to line \( c \)) - \( c \parallel d \) (line \( c \) is parallel to line \( d \)) From the given information, we can conclude the following: - Since \( a \perp b \), line \( a \) is perpendicular to line \( b \). - Since \( b \parallel c \), line \( b \) is parallel to line \( c \). - Since \( c \parallel d \), line \( c \) is parallel to line \( d \). Now, we need to determine the relationship between lines \( a \) and \( d \) based on the given information. Let's analyze the options provided: A. \( a \) is perpendicular to \( d \) because \( a \) is parallel to \( c \) and \( c \) is parallel to \( d \). B. \( a \) is parallel to \( d \) because \( a \) is parallel to \( c \) and \( c \) is parallel to \( d \). C. \( a \) is perpendicular to \( d \) because \( a \) is perpendicular to \( c \) and \( c \) is parallel to \( d \). D. \( a \) is parallel to \( d \) because \( a \) is perpendicular to \( c \) and \( c \) is parallel to \( d \). Based on the given information, we can see that lines \( a \) and \( d \) are parallel because \( a \) is parallel to \( c \) and \( c \) is parallel to \( d \). Therefore, the correct answer is: B. \( a \) is parallel to \( d \) because \( a \) is parallel to \( c \) and \( c \) is parallel to \( d \).