Question

For the given triangle, the slope of ZX is 1/3, the slope of ZY is -1/2, and the slope of XY is 2. Which statement verifies that triangle XYZ is a right triangle?

Answer 1

The slopes of XY and ZY are opposite reciprocals.

Step-by-step explanation: Hope this helps

Answer 2

See below.

Explanation:

There is no statement given so we can only guess. There is a way of finding out.

Slope ZY = - 1/2

Slope XY = 2

Those two slopes (when multiplied) will equal - 1 (2 * -(1/2) = - 1). That is the definition of two lines meeting at right angles or one line being perpendicular to another.