Introduction to perpendicular bisector compass:-
We can draw perpendicular to a line segment at any point on it. However, when we draw a perpendicular on the line segment such that it divides the line segment in two equal halves, it is called perpendicular bisector of the line segment. Any point on the perpendicular bisector of a line segment is always at equal distance from the two ends of the line segment.
As can be seen from the given figure that dotted line is the perpendicular bisector of the line segment AB. If you take any point on the dotted line and measure its distances from A and B, you will find that the distances are same.
How to Draw Perpendicular Bisector Using a Compass
We can draw perpendicular bisector of a line segment using a compass. Use a properly sharpened pencil in the compass and adjust it in the compass properly. Suppose we have to draw perpendicular bisector of line segment of length 6 cm.
Draw line segment AB of length 6 cm. Taking A as center and radius equal to more than half of AB, draw arcs on both the sides of AB. Again taking B as center and radius equal to more than half of AB, draw arcs on both the sides of AB, intersecting the previous arcs at P and Q as shown in the figure given below. Join PQ. PQ is the required perpendicular bisector of the line segment AB.
If you measure two parts of the line segment AB, you will find that each part is 3 cm. Having problem with free 6th grade math problems keep reading my upcoming posts, i will try to help you.
Examples of Perpendicular Bisector Compass
Q 1 : Why compass is used while draw perpendicular bisector of a line segment? Please pick a correct answer.:
A. to draw the line segment AB
B. to draw arcs
C. to measure length of line segment
Sol :
We draw arcs using a compass while drawing perpendicular bisector of a line segment.
Q 2: Perpendicular bisector of line segment AB of length 12 cm intersects it at O. What is the length of AO?
Sol :
We know that perpendicular bisector divides the line segment into two equal parts. Therefore, length of AO = 6 cm.
We can draw perpendicular to a line segment at any point on it. However, when we draw a perpendicular on the line segment such that it divides the line segment in two equal halves, it is called perpendicular bisector of the line segment. Any point on the perpendicular bisector of a line segment is always at equal distance from the two ends of the line segment.
As can be seen from the given figure that dotted line is the perpendicular bisector of the line segment AB. If you take any point on the dotted line and measure its distances from A and B, you will find that the distances are same.
How to Draw Perpendicular Bisector Using a Compass
We can draw perpendicular bisector of a line segment using a compass. Use a properly sharpened pencil in the compass and adjust it in the compass properly. Suppose we have to draw perpendicular bisector of line segment of length 6 cm.
Draw line segment AB of length 6 cm. Taking A as center and radius equal to more than half of AB, draw arcs on both the sides of AB. Again taking B as center and radius equal to more than half of AB, draw arcs on both the sides of AB, intersecting the previous arcs at P and Q as shown in the figure given below. Join PQ. PQ is the required perpendicular bisector of the line segment AB.
If you measure two parts of the line segment AB, you will find that each part is 3 cm. Having problem with free 6th grade math problems keep reading my upcoming posts, i will try to help you.
Examples of Perpendicular Bisector Compass
Q 1 : Why compass is used while draw perpendicular bisector of a line segment? Please pick a correct answer.:
A. to draw the line segment AB
B. to draw arcs
C. to measure length of line segment
Sol :
We draw arcs using a compass while drawing perpendicular bisector of a line segment.
Q 2: Perpendicular bisector of line segment AB of length 12 cm intersects it at O. What is the length of AO?
Sol :
We know that perpendicular bisector divides the line segment into two equal parts. Therefore, length of AO = 6 cm.
