Answer:
no
Explanation:
You want to know if the two triangles shown on the graph are congruent.
Congruence
The triangles will be congruent if corresponding sides are the same length. That is ∆DEF will be congruent to ∆RST if DE and RS are the same length.
Using the distance formula, we find those lengths to be ...
DE = √((0 -9)² +(-3 -(-8))²) = √(81 +25) = √106
RS = √((-4 -(-8))² +(9 -2)²) = √(16 +49) = √65
These are not the same, so the triangles are not congruent.
__
Additional comment
The distances shown in the attached spreadsheet are from each point to the next on the list. The first segments being different is sufficient to show the triangles are not congruent.