On a map of a housing estate, North Street runs north to south (vertical), East Avenue runs east to west (horizontal), Tampines Road also runs north to south, and River Road runs diagonally at 45°. Which pair of roads is perpendicular to each other?
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Worked Solution
Step 1: Recall that perpendicular lines meet at exactly 90°.
Step 2: Check each pair:
• North Street (vertical) and Tampines Road (vertical)
→ same direction → parallel, not perpendicular.
• North Street (vertical) and East Avenue (horizontal)
→ vertical meets horizontal → 90°. ✓
• East Avenue (horizontal) and River Road (45° diagonal)
→ meet at 45°, not 90°.
• Tampines Road (vertical) and River Road (45° diagonal)
→ meet at 45°, not 90°.
Answer: North Street and East Avenue are perpendicular.
Correct answer: North Street and East Avenue
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