Question

1. suppose you construct lines, j, k, l, and m so that j is perpendicular to k, k is parallel to m, and m is perpendicular to l. which of the following is true?

oa k is parallel to /.
ob /is perpendicular to j.
oc m is parallel to j.
od /is parallel to j.

1. name the three labeled segments that are parallel to segment ef.

oa gh, eg, cd
ob ac, cd, gh
oc bf, ab, cd
od ab, cd, gh

Explanation:

Question 6

Step1: Analyze the relationships

Given \(j\perp k\), \(k\parallel m\), so \(j\perp m\) (if a line is perpendicular to one of two parallel lines, it is perpendicular to the other). Also \(m\perp l\).

Step2: Determine the relationship between \(j\) and \(l\)

If \(j\perp m\) and \(m\perp l\), then \(j\parallel l\) (two lines perpendicular to the same line are parallel).

In a prism - like figure (assuming the given figure is a prism), parallel segments are those that do not intersect and have the same direction. Segment \(EF\) is parallel to \(\overline{AB}\), \(\overline{CD}\), and \(\overline{GH}\) as they are in the same orientation and do not intersect.

Answer:

D. \(l\) is parallel to \(j\)

Question 7