Answer:
MN = 2.8 units
Step-by-step explanation:
By the property of isosceles trapezoid,
1). Bases are parallel.
2). Base angles of an isosceles trapezoid are congruent.
2). Opposite sides of the congruent angles are congruent.
By third property,
Measure of side KL = Measure of side MN
2.8 = Measure of side MN
Another way to find the length of MN is,
Distance between M and N = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
MN = [tex]\sqrt{(3-1)^2+(0+2)^2}[/tex] = [tex]\sqrt{8}[/tex]
MN = 2.8 units
Therefore, MN = 2.8 will be the answer.
