Question

parallel and perpendicular lines worksheet

1. write whether the given pairs of lines are parallel or perpendicular.
2. draw the lines which are parallel to each of the below lines.
3. look at the diagram and answer the following.

ab and cd are
name two lines perpendicular to cd
ef and gh are
name two pairs of parallel lines
name two lines perpendicular to ab
ab and ef are
name the lines perpendicular to ij

Explanation:

Step1: Recall definitions

Parallel lines never intersect, perpendicular lines intersect at 90 - degree angles.

Step2: Analyze pairs in 1.

For the first pair in 1., lines do not intersect, so they are parallel. For the second pair, there is a right - angle symbol, so they are perpendicular. For the third pair, there is a right - angle symbol, so they are perpendicular.

Step3: For 3. a

AB and CD are parallel as they do not intersect.

Step4: For 3. b

Lines EF and GH are perpendicular to CD (from the right - angle symbols).

Step5: For 3. c

EF and GH are parallel as they are both perpendicular to CD and do not intersect.

Step6: For 3. d

Two pairs of parallel lines could be (AB, CD) and (EF, GH).

Step7: For 3. e

Lines EF and GH are perpendicular to AB (since they are perpendicular to CD and AB is parallel to CD).

Step8: For 3. f

AB and EF are perpendicular.

Step9: For 3. g

There are no lines shown perpendicular to IJ in the given diagram.

Answer:

1. First pair: Parallel; Second pair: Perpendicular; Third pair: Perpendicular
2. a. Parallel
3. b. EF, GH
4. c. Parallel
5. d. (AB, CD), (EF, GH)
6. e. EF, GH
7. f. Perpendicular
8. g. None shown