Question

On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 4, 4), (negative 4, 1), and (0, 1). Triangle W R S has points (0, negative 1), (1.75, 1.5), (5, negative 1).
In the diagram, △ABC ≅ △WRS. What is the perimeter of △WRS?

10 units
11 units
12 units
13 units

Answer 1

Since △ABC ≅ △WRS, they have the same side lengths. For △ABC:
- AB = distance between (-4,4) and (-4,1) = 3
- BC = distance between (-4,1) and (0,1) = 4
- AC = distance between (-4,4) and (0,1) = sqrt(4^2 + 3^2) = 5

Perimeter = 3 + 4 + 5 = 12 units.

Answer: 12 units.