Answer:
Rectangle but not a square
Explanation:
Let's start by determining if it's a parallelogram.
The slope of side DE is undefined.
The slope of side EF is 0.
The slope of side FG is undefined.
The slope of side DG is 0.
Thia means we have 2 pairs of opposite parallel sides, meaning DEFG is a rhombus.
Now, let's determine if it's a rectangle. Since the slope of
side DE is undefined and the slope of side EF is 0, sides DE and EF are perpendicular. This means that angle DEF is a right angle, and thus DEFG is a rectangle.
To determine if DEFG is a rhombus, we can find the lengths of adjacent sides DE and EF.
The length of DE is 5.
The length of EF is 3.
Since the pair of consecutive sides (sides DE and EF) aren't congruent, DEFG is not a rhombus.
Since DEFG is not a rhombus, it also cannot be a square.
This means DEFG is a rectangle, but not a square.