Coordinate Geometry MCQs

Q1. On a treasure map ruled in metre squares a chest sits at (-1, -8) while an old well lies at (1, -3); what straight-line distance separates them?

• A.7
• B.29
• C.sqrt(29)
• D.sqrt(21)

Answer: C. sqrt(29)

Distance = sqrt((x2-x1)^2+(y2-y1)^2) = sqrt((2)^2+(5)^2) = sqrt(4+25) = sqrt(29) = sqrt(29).

Q2. A vacuum robot parked at (3, 8) on a floor plan in metres glides directly to a spill at (5, -3); what is the length of its diagonal route?

• A.13
• B.5*sqrt(5)
• C.125
• D.3*sqrt(13)

Answer: B. 5*sqrt(5)

Distance = sqrt((x2-x1)^2+(y2-y1)^2) = sqrt((2)^2+(-11)^2) = sqrt(4+121) = sqrt(125) = 5*sqrt(5).

Q3. Two phone towers are plotted on an engineer's km grid at (-5, 6) and (0, 4); what is the gap between the towers?

• A.sqrt(21)
• B.sqrt(29)
• C.7
• D.29

Answer: B. sqrt(29)

Distance = sqrt((x2-x1)^2+(y2-y1)^2) = sqrt((5)^2+(-2)^2) = sqrt(25+4) = sqrt(29) = sqrt(29).