Question

USE THE GIVEN SET OF POINTS TO PROVE EACH CONGRUENCE STATEMENT

E(-3, 3), F(-1, 3), G(-2, 0), J(0, -1), K(2,-1), L(1, 2);<EFG=<JKL

Answer 1

plot on graph paper to visualize!

distance between two points:
d=sqrt[(x2-x1)^2+(y2-y1)^2]

for example:
EF= sqrt[(3-3)^2+(-1-(-3))^2]=2
FG=?
JK=?
KL=?

Answer 2

one way to solve this (but a little time-consuming) is to first get the distances of all the sides of triangles EFG and JKL using distance formula:
d=squareroot of [(x2-x1)^2+(y2-y1)^2]

after getting the distances, use the law of cosines:
a^2=b^2+c^2-2ac(cos A)
where: a, b, and c = sides of triangle and A = angle opposite of side a

*actually if you get the distances, you will see that their sides are equal, and therefore their angles too,,

so there,, i hope i was able to help.. =)