Starting with the two quadrilaterals, we see that they have the same shape, size, and orientation. What separates them is their position on the coordinate plane. By translating LMNP by 7 units to the right and 3 units down, we can map LMNP onto DEFG. Therefore, they are congruent.
Regarding △ JHK and △ QRS, they seem to have the same shape and size. However, since they have both different orientation and location, we are likely dealing with a rotation about the origin. Let's rotate △ QRS about the origin 90^(∘).
As we can see, a rotation 90^(∘) about the origin maps △ QRS onto △ JHK. Therefore, they are congruent. Regarding the final two triangles we see that they do not have the same shape. This means they cannot be congruent.
