Asked by Ryan
Quadrilateral ABCD has vertices A(-2,1), B(3,3), C(5,7), and D(0,5). Determine whether line AC is perpendicular to line BD.
Answers
Answered by
helper
Is line AC perpendicular to line BD
Two lines are perpendicular if their slopes are negative reciprocals of each other (m1 * m2 = -1).
I'll leave the work for finding these lines to you.
AC--through (-2,1), (5,7)
y = 6/7 x + 19/7
slope m1 = 6/7
BD--through (3,3), (0,5)
y = -2/3 x + 5
slope m2 = -2/3
If perpendicular,
m1 * m2 = -1
6/7 * -2/3 = ?
Are the lines perpendicular?
Two lines are perpendicular if their slopes are negative reciprocals of each other (m1 * m2 = -1).
I'll leave the work for finding these lines to you.
AC--through (-2,1), (5,7)
y = 6/7 x + 19/7
slope m1 = 6/7
BD--through (3,3), (0,5)
y = -2/3 x + 5
slope m2 = -2/3
If perpendicular,
m1 * m2 = -1
6/7 * -2/3 = ?
Are the lines perpendicular?
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