Final answer:
The triangle with the given vertices is an D) isosceles triangle.
Step-by-step explanation:
The triangle with the vertices (-5,-1), (-2,-3), and (-5,-4) is an isosceles triangle.
An isosceles triangle is a triangle that has two sides of equal length.
In this case, the side with vertices (-5,-1) and (-5,-4) is the same length as the side with vertices (-5,-1) and (-2,-3).