Answer:
Yes
Step-by-step explanation:
The given points are A(−3,−1), B(−3,2), C(6,9), and D(3,9).
Plot these points on a coordinate plane as shown in the below graph.
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using this formula, we get
[tex]AB=\sqrt{(-3-(-3))^2+(2-(-1))^2}[/tex]
[tex]AB=\sqrt{(0)^2+(3)^2}[/tex]
[tex]AB=3[/tex]
[tex]CD=\sqrt{(3-6)^2+(9-9)^2}[/tex]
[tex]CD=\sqrt{(-3)^2+(0)^2}[/tex]
[tex]CD=3[/tex]
Since AB=CD, therefore the required answer is yes, AB and CD are congruent.
