The correct answer is A. They are congruent.

Here's why:

In a circle, a chord is a line segment that connects two points on the circle. If two chords are the same distance from the center of the circle, it means they have the same length.

In geometry, two line segments are congruent if they have the same length. Therefore, any two chords that are the same distance from the center of a circle are congruent.

The other options are incorrect because:
B. Chords are not necessarily perpendicular. They can be, but it's not a rule.
C. Similarity applies to figures (like triangles or circles), not line segments.
D. Chords are not necessarily parallel. They can be, but it's not a rule.

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The correct answer is A. They are congruent.

Here's why:

In a circle, a chord is a line segment that connects two points on the circle. If two chords are the same distance from the center of the circle, it means they have the same length.

In geometry, two line segments are congruent if they have the same length. Therefore, any two chords that are the same distance from the center of a circle are congruent.

The other options are incorrect because:
B. Chords are not necessarily perpendicular. They can be, but it's not a rule.
C. Similarity applies to figures (like triangles or circles), not line segments.
D. Chords are not necessarily parallel. They can be, but it's not a rule.

Knowee AI · Accepted Answer

The correct answer is A. They are congruent.

Here's why:

In a circle, a chord is a line segment that connects two points on the circle. If two chords are the same distance from the center of the circle, it means they have the same length.

In geometry, two line segments are congruent if they have the same length. Therefore, any two chords that are the same distance from the center of a circle are congruent.

The other options are incorrect because:
B. Chords are not necessarily perpendicular. They can be, but it's not a rule.
C. Similarity applies to figures (like triangles or circles), not line segments.
D. Chords are not necessarily parallel. They can be, but it's not a rule.

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

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