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)

correct sequence of the matching
A. BDAEC
B. BCDAE
C. CDABE
D. CADBE

Answer 1

The distance between points is calculated through the equation,
D = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)

We calculate for the distances of each of the pairs.

(-3,4) and (3, 4)
D = sqrt ((4 - 4)² + (3 --3)²) = 6

(-5,3) and (-5,11)
D = sqrt ((-5 --5)² +(11 - 3)²) = 8

(-20,-18) and (-22,-21)
D = sqrt ((-20 --22)² + (-18 --21)²) = 3.6

(2,4) and origin
D = sqrt ((2 - 0)² + (4 - 0)²) = 4.5

(7,8) and (-2,20)
D = sqrt ((-2 - 7)² + (8 - 20)²) = 15

Arranging the distances will give us an answer of C, D, A, B, E
The answer is letter C.