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

Level 1

This math topic focuses on identifying the equations of perpendicular bisectors for given line segments between two points. Students are presented with the coordinates of endpoints A and B for several line segments. They must determine whether the given equation correctly represents the perpendicular bisector to each segment. The problems are formatted as true/false questions, promoting skills in geometry related to segments, midpoints, and understanding the properties of perpendicular bisectors. An essential aspect covered is applying the midpoint formula and the slope of perpendicular lines.

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: }(5, 9)\\ \text{Point B: }(7, 7)
Is the equation for the perpendicular bisector of segment AB equal to: y=1 x + 1
a
No
b
Yes
2
A LaTex expression showing \text{Point A: }(6, 5)\\ \text{Point B: }(8, 7)
Is the equation for the perpendicular bisector of segment AB equal to: y=-1 x + 12
a
No
b
Yes
3
A LaTex expression showing \text{Point A: }(3, 7)\\ \text{Point B: }(5, 9)
Is the equation for the perpendicular bisector of segment AB equal to: y=-1 x + 12
a
Yes
b
No
4
A LaTex expression showing \text{Point A: }(5, 8)\\ \text{Point B: }(7, 2)
Is the equation for the perpendicular bisector of segment AB equal to: y=1/3 x + 3
a
Yes
b
No
5
A LaTex expression showing \text{Point A: }(6, 3)\\ \text{Point B: }(8, 9)
Is the equation for the perpendicular bisector of segment AB equal to: y=-1/3 x + 25/3
a
Yes
b
No
6
A LaTex expression showing \text{Point A: }(4, 10)\\ \text{Point B: }(8, 2)
Is the equation for the perpendicular bisector of segment AB equal to: y=1/2 x + 3
a
No
b
Yes
7
A LaTex expression showing \text{Point A: }(3, 9)\\ \text{Point B: }(9, 3)
Is the equation for the perpendicular bisector of segment AB equal to: y=1 x + -0
a
Yes
b
No
8
A LaTex expression showing \text{Point A: }(6, 4)\\ \text{Point B: }(10, 8)
Is the equation for the perpendicular bisector of segment AB equal to: y=-1 x + 14
a
Yes
b
No