Question

Match the distance with their respective endpoint coordinates distance coordinate 3.6 units A (-3,4) and (3,4) 4.5 units B (-5,3) and (-5,11) 6 units C (-20-18) and (-22-21) 8 units D (2,4) and origin 15 units E (7,8) and (-2,20)

Answer 1

Answer: A = 6 units, B = 8 units, C = 3.6 units, D = 4.5 units, E = 15 units

Step-by-step explanation: A and B can be solved by inspection, as they have a co-ordinate that is the same: A (-3;4) and (3;4) has the same y-coordinate, so the distance between the points can be measured by the difference in their x-coordinates; B (-5;3) and (-5;11) has the same x-coordinates, so the distance can be measured by the difference in their y-coordinates.

The remaining distances need to be solved using the distance formula:

distance =
`\sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2) }`