Answer:
When the slopes of lines a and b are multiplied, the product is −1.
Line a and line b intersect to form four right angles.
Step-by-step explanation:
Given
Perpendicular lines a and b
Required
Select the true statements
Represent the slope of line a with and the slope of b with
.
The condition for perpendicularity is:
Solving further:
To solve further, we need to analyze each of the given options
(a) This is not true because the slope of perpendicular lines are not reciprocal
(b) This is also not true because perpendicular lines do not necessarily have to intersect at their midpoints
(c) This is true because of the condition stated above:
(d) This is also true because perpendicular lines form right angles when they intersect
(e) This is not true because of the condition stated above:
(f) This is not true because of the condition stated above: