Knowee
Questions
Features
Study Tools

Which is a true statement about any two congruent chords in a circle?A.They are equidistant from the center of the circle.B.They are perpendicular.C.They form an angle.D.They are parallel.SUBMITarrow_backPREVIOUS

Question

Which is a true statement about any two congruent chords in a circle?A.They are equidistant from the center of the circle.B.They are perpendicular.C.They form an angle.D.They are parallel.SUBMITarrow_backPREVIOUS

🧐 Not the exact question you are looking for?Go ask a question

Solution

The true statement about any two congruent chords in a circle is A. They are equidistant from the center of the circle.

Here's why:

  1. A chord of a circle is a line segment whose endpoints lie on the circle.

  2. Congruent chords are chords that have the same length.

  3. The perpendicular from the center of the circle to a chord bisects the chord. This means it divides the chord into two equal parts.

  4. If two chords are congruent, then their distances from the center of the circle are equal. This is because the line drawn from the center of the circle to the chord (the perpendicular mentioned in step 3) is a radius of the circle, and all radii of a circle are equal in length.

Therefore, any two congruent chords in a circle are equidistant from the center of the circle.

This problem has been solved

Similar Questions

Which is a true statement about any two chords that are the same distance from the center of a circle?A.They are congruent.B.They are perpendicular.C.They are similar.D.They are parallel.SUBMITarrow_backPREVIOUS

Two chords in the same circle are congruent if and only if the associated central angles are congruent.A.TrueB.FalseSUBMITarrow_backPREVIOUS

Two arcs of a circle are congruent if and only if their associated chords are perpendicular.A.TrueB.FalseSUBMITarrow_backPREVIOUS

If two chords in a circle are congruent, then they are _____________.A.perpendicularB.parallelC.the same distance from the center of the circleSUBMITarrow_backPREVIOUS

If a radius of a circle is perpendicular to a chord, then it ________ that chord.A.is equal in length toB.parallelsC.bisectsD.is congruent to

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.