Study guides

☆☆

Q: Does the perpendiculare bisector of a cord pass through the center of the circle?

Write your answer...

Submit

Still have questions?

Continue Learning about Algebra

The perpendicular bisector of ANY chord of the circle goes through the center. Each side of a triangle mentioned would be a chord of the circle therefore it is true that the perpendicular bisectors of each side intersect at the center.

yes a diameter passes through the center of a circle

-- Draw any two random chords of the circle. -- Construct the perpendicular bisector of each chord. -- The perpendicular bisectors intersect at the center of the circle. All of this can be done with a compass, an unmarked straight-edge, and a pencil.

A line that goes through a circle is a secant line. (Remember that a line is infinitely long.) Anyline that passes through a circle is a secant line, whether it passes through the center of the circle or not. Compare this to a line segment with endpoints on the circumference of a circle. That segment is called a cord of that circle. If the cord of a circle passes through the center of that circle, it is a diameter of that circle, which is the longest cord of the circle.

In the case of a circle: Diameter: The distance through the circle - from one end to the other, passing through the center. Circumference: The distance around the circle.

Related questions

Yes, the perpendicular bisector of a cord is the shortest distance from the centre of a circle to the cord.

A circle can have perpendicular bisector lines by means of its diameter.

The perpendicular bisector of ANY chord of the circle goes through the center. Each side of a triangle mentioned would be a chord of the circle therefore it is true that the perpendicular bisectors of each side intersect at the center.

You have points A, B, and C. Using a compass and straight edge, find a perpendicular bisector of AB (that is, a line that is perpendicular to AB and intersects AB at the midpoint of AB. Next, find a perpendicular bisector of BC. The two lines you found will meet at the center of the circle.

The secant of a circle passes through the center of a circle sometimes

A circle cannot form a perpendicular bisector.

A line through a circle that does not go through the center of the circle is a secant line. A line through a circle that does go through the center is still a secant line, by the way. Compare this to a line segment that has its two endpoints on the circumference of the circle. That line segment is a cord of the circle. If that cord of the circle passes through the center of the circle, then the cord is a diameter of that circle.

yes a diameter passes through the center of a circle

A chord that passes through the center of a circle is its diameter.

No, not all chords of a circle pass though the center of that circle. Any cord that does pass through the center of the circle is called diameter of that circle.

A circle cannot form a perpendicular bisector.

The line passing through the center of a circle with two endpoints on the circle is the circle's diameter.

People also asked