Line Segment (Points) - Find Perpendicular Bisector (True/False)

Level 2

This math topic focuses on the concept of finding the perpendicular bisector of a line segment given two points. Students are given coordinates of two points (A and B) defining the segment and are asked to verify, as a true or false question, whether a given equation correctly represents the perpendicular bisector of that segment. This involves understanding and applying the concepts related to line segments, mid-points, and constructing perpendicular bisectors in a coordinate plane.

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 (True/False) Worksheet

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Line Segment (Points) - Find Perpendicular Bisector (True/False)
1
A LaTex expression showing \text{Point A: }(3, 8)\\ \text{Point B: }(7, 6)
Is the equation for the perpendicular bisector of segment AB equal to: y=1/2 x + 9/2
a
No
b
Yes
2
A LaTex expression showing \text{Point A: }(4, 1)\\ \text{Point B: }(10, 5)
Is the equation for the perpendicular bisector of segment AB equal to: y=-3/2 x + 27/2
a
Yes
b
No
3
A LaTex expression showing \text{Point A: }(3, 5)\\ \text{Point B: }(5, 3)
Is the equation for the perpendicular bisector of segment AB equal to: y=-5 x + 24
a
No
b
Yes
4
A LaTex expression showing \text{Point A: }(5, 7)\\ \text{Point B: }(9, 3)
Is the equation for the perpendicular bisector of segment AB equal to: y=1 x + 1
a
No
b
Yes
5
A LaTex expression showing \text{Point A: }(1, 2)\\ \text{Point B: }(7, 6)
Is the equation for the perpendicular bisector of segment AB equal to: y=-3/2 x + 10
a
Yes
b
No
6
A LaTex expression showing \text{Point A: }(2, 7)\\ \text{Point B: }(10, 1)
Is the equation for the perpendicular bisector of segment AB equal to: y=4/3 x + -10/3
a
No
b
Yes
7
A LaTex expression showing \text{Point A: }(4, 1)\\ \text{Point B: }(8, 3)
Is the equation for the perpendicular bisector of segment AB equal to: y=-1/2 x + 5
a
No
b
Yes
8
A LaTex expression showing \text{Point A: }(2, 8)\\ \text{Point B: }(6, 2)
Is the equation for the perpendicular bisector of segment AB equal to: y=2/3 x + 2/3
a
No
b
Yes