Given the vertices A(−3,4), B(8,4), and C(8,−7), which of the following is the final point needed to construct a square? (1 point)
Responses
(−3,4)
left parenthesis negative 3 comma 4 right parenthesis
(8,4)
left parenthesis 8 comma 4 right parenthesis
(8,−7)
left parenthesis 8 comma negative 7 right parenthesis
(−3,−7)
To construct a square, you need to find the fourth vertex that is equidistant from the given three vertices.
The distance between A and B is 11 units (8-(-3) = 11).
The distance between A and C is 11 units (4-(-7) = 11).
Therefore, the fourth vertex needs to be 11 units away from A. Since A is at (-3, 4), you can go 11 units to the right to find the fourth vertex.
So, the final point needed to construct a square is (8, 4).
Answer: (8, 4)