Answer
$$\text{G}$$
Work Step by Step
Plot the vertices of the given rectangle and connect them using line segments to form the rectangle below.
The rectangle has a length of $5$ units and a width of $4$ units.
For Option F, the distance from $(3, -2)$ to $(3, -8)$ is $10$ units.
This means that the rectangle has one side $10$ units long and therefore cannot be congruent to the given rectangle.
For Option G, the distance from $(-2, -4)$ to $(-2, -8)$ is $4$ units.
This means that the rectangle has one side $4$ units long.
The distance from $(3, -8)$ to $(-2, -8)$ to $(3, -8)$ is $5 $ units.
This means that the other side of the rectangle is $5$ units long.
Thus, this rectangle is congruent to the given triangle. Refer to the graph below.
For Option H, the distance from $(0, 0)$ to $(5, 0)$ is $5$ units, while the distance between $(5, 0)$ and $(5, 5)$ is also $5$ units.
Thus, the rectangle is not congruent to the given rectangle.
For Option I, the distance from $(-3, 2)$ to $(1, 2)$ is $4$ units, while the distance between $(1, 2)$ and $(1, 6)$ is also $4$ units.
Thus, the rectangle is not congruent to the given rectangle.
