Answer:
Option (A) and Option (E)
Step-by-step explanation:
Length of a segment between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Length = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
Length of the segment between J(-8, 1) and K(-5, 5) will be,
JK = [tex]\sqrt{(-8+5)^2+(1-5)^2}[/tex]
JK = [tex]\sqrt{9+16}[/tex]
JK = 5 units
Length of segment between the points P(2, 8) and Q(7, 3) will be,
PQ = [tex]\sqrt{(2-7)^2+(8-3)^2}[/tex]
PQ = [tex]\sqrt{25+25}[/tex]
PQ = [tex]5\sqrt{2}[/tex] units
Length of segment between the points S(-3, -10) and T(3, -2) will be,
ST = [tex]\sqrt{(-3-3)^2+(-10+2)^2}[/tex]
ST = [tex]\sqrt{36+64}[/tex]
ST = 10 units
Therefore, Option (A) and Option (E) are the correct options.
