Which triangles are congruent? (see attachment)

Hi there! If you look at all of the triangles, you see that there are 2 obtuse triangles and 2 right triangles. Triangles GHJ and UVW are right triangle and triangles ABC and PQR are obtuse tirangles. Congruent triangles are those with the same sides, shape, and side lengths. With that being said, here are the answers to each:

ABC and UVW: Not congruent
ABC and GHJ: Not congruent
ABC and PQR: Congruent
GHJ and UVW: Congruent
GHJ and PRQ: Not Congruent
PQR and UVW: Not Congruent

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

answer: the function g(x) has the greatest slope.