Question

The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2). At which points could the vertex of the right angle in the triangle be located? The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2).

At which points could the vertex of the right angle in the triangle be located? Check all that apply.
(–1, 1)
(4, –2)
(1, 1)
(2, –2)
(4, –1)
(–1, 4)

Answer 1

(-1,1),(4,-2)

Explanation:

Answer 2

(–1, 1) and (4, –2)

Explanation:

we know that

The vertex of the right angle of the triangle could be situated at a point with the same x-coordinate of point A and the same y-coordinate of point B or at a point with the same x-coordinate of point B and the same y-coordinate of point A

we have

A(4, 1) and B(–1, –2)

so

a point with the same x-coordinate of point A and the same y-coordinate of point B is the point (4,-2)

a point with the same x-coordinate of point B and the same y-coordinate of point A is (-1,1)

therefore

(–1, 1) and (4, –2)