Question

Plot A(2,9), B(7,9), C(−3,−5), and D(−3,1) in a coordinate plane. Are AB and CD congruent? if you answer before 11:59 you get brainliest

Answer 1

Given :

Four points A(2,9) , B(7,9) , C(-3,-5) and D(-3,1) .

To Find :

Are AB and CD congruent .

Solution :

Two line segment are congruent when their length is equal .

Now , length of line segment with points  (a,b) and (c,d) .

$L=\sqrt{(a-c)^2+(b-d)^2}$ .

So , length of AB is :

$AB=\sqrt{(2-7)^2+(9-9)^2}\\\\AB=\sqrt{(-5)^2+0^2}\\\\AB=5\ units$

Also , length of CD is :

$CD=\sqrt{(-3-(-3))^2+(-5-1)^2}\\\\CD=\sqrt{0^2+(-6)^2}\\\\AB=6\ units$

Since , length of AB and CD is not equal .

Therefore , the line segment AB and CD are not congruent .