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Relative Distance Between Points - Absolute-Beginner Level: core concept mastery Relative Distance Between Points ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Relative Distance Between Points - a key topic in Distance Logic. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master relative distance between points problems, relative distance between points reasoning questions, and relative distance between points practice through systematic practice.

📝 Worksheet 1 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Absolute Beginner level

What you'll learn in this worksheet:
Your progress through Relative Distance Between Points
Worksheet 1 of 10 (0% complete)

Question 1

Two persons A and B start from the same point. A walks 7 m West, then 12 m South, then 19 m South. B walks 16 m East, then 14 m North. What is the distance between them?
Step-by-step:
1. A's final position: (-7, -31)
2. B's final position: (16, 14)
3. Distance = √[(-7-16)² + (-31-14)²] = √[-23² + -45²] = 51 m

Question 2

Two persons A and B start from the same point. A walks 13 m East, then 18 m East, then 18 m West. B walks 14 m North, then 11 m East, then 11 m South. What is the distance between them?
Step-by-step:
1. A's final position: (13, 0)
2. B's final position: (11, 3)
3. Distance = √[(13-11)² + (0-3)²] = √[2² + -3²] = 4 m

Question 3

Two persons A and B start from the same point. A walks 11 m West, then 14 m South, then 18 m East. B walks 13 m North, then 20 m West. What is the distance between them?
Step-by-step:
1. A's final position: (7, -14)
2. B's final position: (-20, 13)
3. Distance = √[(7--20)² + (-14-13)²] = √[27² + -27²] = 38 m

Question 4

Two persons A and B start from the same point. A walks 13 m West, then 15 m West, then 20 m South. B walks 15 m East, then 15 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-28, -20)
2. B's final position: (30, 0)
3. Distance = √[(-28-30)² + (-20-0)²] = √[-58² + -20²] = 61 m

Question 5

Two persons A and B start from the same point. A walks 6 m East, then 14 m West. B walks 17 m East, then 13 m West. What is the distance between them?
Step-by-step:
1. A's final position: (-8, 0)
2. B's final position: (4, 0)
3. Distance = √[(-8-4)² + (0-0)²] = √[-12² + 0²] = 12 m

Question 6

Two persons A and B start from the same point. A walks 9 m West, then 16 m South, then 15 m South. B walks 7 m South, then 8 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-9, -31)
2. B's final position: (8, -7)
3. Distance = √[(-9-8)² + (-31--7)²] = √[-17² + -24²] = 29 m

Question 7

Two persons A and B start from the same point. A walks 10 m West, then 19 m South. B walks 17 m South, then 20 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-10, -19)
2. B's final position: (20, -17)
3. Distance = √[(-10-20)² + (-19--17)²] = √[-30² + -2²] = 30 m

Question 8

Two persons A and B start from the same point. A walks 16 m South, then 13 m East. B walks 19 m East, then 5 m North. What is the distance between them?
Step-by-step:
1. A's final position: (13, -16)
2. B's final position: (19, 5)
3. Distance = √[(13-19)² + (-16-5)²] = √[-6² + -21²] = 22 m

Question 9

Two persons A and B start from the same point. A walks 17 m North, then 17 m North. B walks 13 m West, then 15 m South. What is the distance between them?
Step-by-step:
1. A's final position: (0, 34)
2. B's final position: (-13, -15)
3. Distance = √[(0--13)² + (34--15)²] = √[13² + 49²] = 51 m

Question 10

Two persons A and B start from the same point. A walks 5 m South, then 18 m North. B walks 20 m North, then 16 m North, then 14 m East. What is the distance between them?
Step-by-step:
1. A's final position: (0, 13)
2. B's final position: (14, 36)
3. Distance = √[(0-14)² + (13-36)²] = √[-14² + -23²] = 27 m

Question 11

Two persons A and B start from the same point. A walks 13 m East, then 6 m North, then 9 m West. B walks 5 m South, then 8 m South, then 16 m South. What is the distance between them?
Step-by-step:
1. A's final position: (4, 6)
2. B's final position: (0, -29)
3. Distance = √[(4-0)² + (6--29)²] = √[4² + 35²] = 35 m

Question 12

Two persons A and B start from the same point. A walks 19 m West, then 15 m North, then 6 m South. B walks 14 m North, then 9 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-19, 9)
2. B's final position: (9, 14)
3. Distance = √[(-19-9)² + (9-14)²] = √[-28² + -5²] = 28 m

Question 13

Two persons A and B start from the same point. A walks 17 m West, then 15 m South, then 10 m South. B walks 15 m West, then 18 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-17, -25)
2. B's final position: (-15, -18)
3. Distance = √[(-17--15)² + (-25--18)²] = √[-2² + -7²] = 7 m

Question 14

Two persons A and B start from the same point. A walks 13 m West, then 5 m North. B walks 19 m East, then 7 m North. What is the distance between them?
Step-by-step:
1. A's final position: (-13, 5)
2. B's final position: (19, 7)
3. Distance = √[(-13-19)² + (5-7)²] = √[-32² + -2²] = 32 m

Question 15

Two persons A and B start from the same point. A walks 16 m West, then 8 m East. B walks 6 m North, then 19 m East, then 12 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-8, 0)
2. B's final position: (31, 6)
3. Distance = √[(-8-31)² + (0-6)²] = √[-39² + -6²] = 39 m

Question 16

Two persons A and B start from the same point. A walks 11 m East, then 5 m East. B walks 5 m West, then 12 m West, then 14 m West. What is the distance between them?
Step-by-step:
1. A's final position: (16, 0)
2. B's final position: (-31, 0)
3. Distance = √[(16--31)² + (0-0)²] = √[47² + 0²] = 47 m

Question 17

Two persons A and B start from the same point. A walks 10 m South, then 9 m South, then 15 m South. B walks 16 m West, then 11 m North, then 20 m West. What is the distance between them?
Step-by-step:
1. A's final position: (0, -34)
2. B's final position: (-36, 11)
3. Distance = √[(0--36)² + (-34-11)²] = √[36² + -45²] = 58 m

Question 18

Two persons A and B start from the same point. A walks 10 m West, then 16 m East, then 20 m South. B walks 7 m South, then 20 m West, then 17 m North. What is the distance between them?
Step-by-step:
1. A's final position: (6, -20)
2. B's final position: (-20, 10)
3. Distance = √[(6--20)² + (-20-10)²] = √[26² + -30²] = 40 m

Question 19

Two persons A and B start from the same point. A walks 16 m West, then 13 m West, then 11 m North. B walks 17 m North, then 18 m West, then 6 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-29, 11)
2. B's final position: (-12, 17)
3. Distance = √[(-29--12)² + (11-17)²] = √[-17² + -6²] = 18 m

Question 20

Two persons A and B start from the same point. A walks 9 m West, then 13 m West. B walks 15 m East, then 6 m South, then 5 m North. What is the distance between them?
Step-by-step:
1. A's final position: (-22, 0)
2. B's final position: (15, -1)
3. Distance = √[(-22-15)² + (0--1)²] = √[-37² + 1²] = 37 m
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