To determine the which figures are congruent, if any, let's start with the rectangles. The orientation of these figures is the same, so we only need to verify if a translation has taken place. By translating ABCD down by 4 units and 6 units right, it will map onto HJKL. Therefore, we can say they are congruent.
Next, let's consider the triangles △ EFG and △ QRS. We can see that y=- x forms a line of reflection. Thus, they are congruent figures as well.
Finally, let's look at the triangles on the top half of the coordinate plane, △ MNP and △ TUV. Since they have different orientations, we need to check whether or not there has been a rotation. Let's rotate △ ABC 90^(∘) about the origin.
We can see that the rotation mapped figures onto each other, so △ MNP is a 90^(∘) rotation about the origin of △ TUV. This makes these triangles congruent figures.
