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Line Segment (Points) - Find Perpendicular Bisector (Formula)

Level 1

This math topic focuses on the skill of finding the equation of the perpendicular bisector of a line segment given two points, A and B. Each problem presents the coordinates of points A and B and requires determining the correct equation of the perpendicular bisector. The problems are likely designed to strengthen understanding of concepts such as segments, midpoints, slopes, and linear equations. Various solution options are provided in a multiple-choice format, allowing for practice in applying the formula for perpendicular bisectors.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Line Segment (Points) - Find Perpendicular Bisector (Formula) Worksheet

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Line Segment (Points) - Find Perpendicular Bisector (Formula)
1
Find the equation for the perpendicular bisector of segment AB
A LaTex expression showing \text{Point A: }(3, 3)\\ \text{Point B: }(5, 9)
a A LaTex expression showing y=-3x + 18
b A LaTex expression showing y=-1 over 3 x + 6
c A LaTex expression showing y=-1 over 3 x + 25 over 3
d A LaTex expression showing y=-1 over 3 x + 22 over 3
2
Find the equation for the perpendicular bisector of segment AB
A LaTex expression showing \text{Point A: }(5, 5)\\ \text{Point B: }(7, 1)
a A LaTex expression showing y=1 over 2 x + -0
b A LaTex expression showing y=2x + -9
c A LaTex expression showing y=2 over 3 x + -1
d A LaTex expression showing y=1 over 2 x + -3
3
Find the equation for the perpendicular bisector of segment AB
A LaTex expression showing \text{Point A: }(1, 10)\\ \text{Point B: }(3, 4)
a A LaTex expression showing y=1 over 3 x + 16 over 3
b A LaTex expression showing y=3x + 1
c A LaTex expression showing y=1 over 3 x + 19 over 3
d A LaTex expression showing y=1 over 3 x + -1 over 3
4
Find the equation for the perpendicular bisector of segment AB
A LaTex expression showing \text{Point A: }(6, 2)\\ \text{Point B: }(8, 4)
a A LaTex expression showing y=-1 over 3 x + 16 over 3
b A LaTex expression showing y=-1x + 10
c A LaTex expression showing y=-1x + 7
d A LaTex expression showing y=-1x + 13
5
Find the equation for the perpendicular bisector of segment AB
A LaTex expression showing \text{Point A: }(4, 3)\\ \text{Point B: }(6, 9)
a A LaTex expression showing y=-1 over 3 x + 23 over 3
b A LaTex expression showing y=-1 over 3 x + 7
c A LaTex expression showing y=-1 over 3 x + 9
d A LaTex expression showing y=-3x + 21
6
Find the equation for the perpendicular bisector of segment AB
A LaTex expression showing \text{Point A: }(4, 6)\\ \text{Point B: }(8, 2)
a A LaTex expression showing y=3 over 5 x + 2 over 5
b A LaTex expression showing y=1x + 2
c A LaTex expression showing y=1x + -2
d A LaTex expression showing y=2x + -8
7
Find the equation for the perpendicular bisector of segment AB
A LaTex expression showing \text{Point A: }(2, 10)\\ \text{Point B: }(4, 4)
a A LaTex expression showing y=5 over 4 x + 13 over 4
b A LaTex expression showing y=3x + -2
c A LaTex expression showing y=1 over 3 x + 2 over 3
d A LaTex expression showing y=1 over 3 x + 6
8
Find the equation for the perpendicular bisector of segment AB
A LaTex expression showing \text{Point A: }(6, 1)\\ \text{Point B: }(8, 3)
a A LaTex expression showing y=-1x + 5
b A LaTex expression showing y=-1x + 8
c A LaTex expression showing y=-1x + 9
d A LaTex expression showing y=-2x + 16