Are the shapes labelled congruent? please explain what congruent is and how i can find if shapes are congruent

Yes they are. Explanation provided below.

Step-by-step explanation:

Two shapes are congruent when they are the same shape and size. Its obvious that both are rectangles and if we look at the grid, we can see that both rectangles are 2 by 4. Since they both have the same shape and size, they are in fact congruent.

Best of Luck!

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.