Question

given the image below, which statement must be true?
options:

• only ( c parallel d )
• only ( a parallel b )
• no pair of lines are parallel
• both ( a parallel b ) and ( c parallel d )

Explanation:

Step1: Check lines a and b

Lines \(a\) and \(b\) are cut by a transversal, creating corresponding angles of \(90.2^\circ\). By the Corresponding Angles Postulate, if corresponding angles are congruent, the lines are parallel. So \(a \parallel b\).

Step2: Check lines c and d

Lines \(c\) and \(d\) are cut by a transversal, creating corresponding angles of \(90.2^\circ\). By the Corresponding Angles Postulate, if corresponding angles are congruent, the lines are parallel. So \(c \parallel d\).

Answer:

Both \(a \parallel b\) and \(c \parallel d\)