0
yomo710

Determine whether the conjecture is true or false. If it is false, give a counterexample.
Given: g is perpendicular to h
Conjecture: The slopes of g and h are opposite in sign and reciprocals of one another.

Question

0
yomo710

Determine whether the conjecture is true or false. If it is false, give a counterexample.
Given:  g is perpendicular to h
Conjecture: The slopes of g and h are opposite in sign and reciprocals of one another.

directrix · Answer

g is perpendicular to h

If g or h is not parallel to either the x-axis or the y-axis, then the conjecture is true.

While a vertical line is perpendicular to a  horizontal one, the slope of a vertical line does not exist and the slope of a horizontal is 0. Ergo, their slope product will  not be -1.