Question

For triangle XYW, the slope of WX is , the slope of XY is 0.56, and the slope of YW is .


Which statement verifies that triangle WXY is a right triangle?

The slopes of WX and YW are opposite reciprocals.
The slopes of WX and XY are opposite reciprocals.
The slopes of XY and WX have opposite signs.
The slopes of XY and YW have the same signs.

Answer 1

The slopes of WX and YW are opposite reciprocals.

Reason: If two slopes are opposite (negative) reciprocals, the lines are perpendicular. WX and YW meet at W, so if they are perpendicular, angle W is 90° and triangle WXY is a right triangle.