Answer: (D) parallelLines that always stay the same distance apart and never meet are parallel.
3. Which pair of lines is perpendicular?1 mark
(A) B(B) A(C) C(D) D
Answer: (A) BPair B meets at a right angle (shown with the square corner in the answer key). A and D meet at other angles. C are parallel lines that never meet.
4. Which statement is true?1 mark
(A) Parallel lines meet at a right angle.(B) Perpendicular lines meet at a right angle.(C) Parallel lines meet at one point.(D) Perpendicular lines never meet.
Answer: (B) Perpendicular lines meet at a right angle.Perpendicular lines meet at 90°. Parallel lines never meet.
Section B · Write your answer 11 marks
5. Look at the lines MN and NK. Are they perpendicular? Write yes or no.1 mark
Answer: NoThe angle at N is not a right angle. MN is straight up but NK is slanted, so they are not perpendicular.
6. Which line is perpendicular to PQ?1 mark
Answer: RSPQ goes straight up and down. RS goes straight across and meets PQ at a right angle. VW is slanted. TU is parallel to PQ.
7. In the figure, which lines are parallel to one another?1 mark
Answer: CD, EF and GHCD, EF and GH are all straight across and never meet. AB is perpendicular to each of them.
8. Hana says, "AB and CD are not parallel because they are different lengths." Is she correct? Explain.1 mark
Answer: No. Parallel lines can be different lengths. They never meet.Parallel lines never meet and stay the same distance apart. Their lengths do not matter.
9. Which line is neither parallel nor perpendicular to AB?1 mark
Answer: EFGH is parallel to AB. CD is perpendicular to AB. EF is slanted, so it is neither.
10. (a) How many pairs of parallel lines are there in the figure? (b) How many pairs of perpendicular lines are there?2 marks
Answer: (a) 2 pairs (b) 4 pairs(a) PQ // RS and WX // YZ, so 2 pairs. (b) Each line going down meets each line going across at a right angle: 2 × 2 = 4 pairs.
11. Draw a line through P that is parallel to AB. Use a ruler.2 marks
Answer: Line through P that never meets AB, drawn straight across.Draw along the grid line through P. It stays the same distance from AB, so it is parallel.
12. Use a set square. Draw a line from M to line XY so that it is perpendicular to XY.2 marks
Answer: Line from M straight down to XY, meeting it at a right angle.Place the set square on XY with its right-angle corner at the line. Slide it until the edge touches M, then draw.
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