Answer:
a and c
Step-by-step explanation:
Find the slope between each pair of points.
a. m = (16 − 10) / (6 − 3) = 2
b. m = (-3 − -12) / (-5 − -8) = 3
c. m = (3 − 4) / (2 − 0) = -1/2
Perpendicular lines have opposite inverse slopes. So a and c are perpendicular.
The two pairs of points that lie on perpendicular lines are points in;
Option A and Option C
The formula for slope between 2 coordinates is;
m = (y2 - y1)/(x2 - x1)
Thus;
A) m = (16 − 10)/(6 − 3)
m = 6/3
m = 2
B) m = (-3 − (-12))/(-5 − (-8))
m = 9/3
m = 3
C) m = (3 − 4)/(2 − 0)
m = -1/2
Now, for two lines to be perpendicular, it means that their slopes must be in the form;
m and -1/m
Looking at the slopes we got, we can see that;
Slope in option C is -1/m where m is slope in option A.
Thus, In conclusion, pairs of points in options A and C lie on perpendicular lines.
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