Answer
Rectangle
Work Step by Step
Our aim is to apply the distance formula to compute the type of triangle that is given in the picture.
The distance formula is given by the following formula:
$d = \sqrt {(x_2 - x_1)^2 + (y_2 - y_1)^2}$
We will compute the lengths of two pairs of opposite sides of the parallelogram.
We can see that the lengths of one pair of opposite sides of the parallelogram have equal lengths. This means that they are congruent.
Next, we will compute the lengths of the diagonals of the parallelogram.
$RT= \sqrt {(-2-3)^2 + (-3-2)^2}=\sqrt {50}$ and $SV = \sqrt {(4-(-3))^2 + (0-(-1))^2}=\sqrt{50}$
Therefore, the given parallelogram is a rectangle with two pairs of opposite congruent sides and whose diagonals are congruent as well.
