Math

QuestionIs it true that if two chords in the same circle are congruent, their minor areas are also congruent? A. Yes B. No C. Maybe D. Sometimes E. Not applicable

Studdy Solution

STEP 1

Assumptions1. We have a circle with two chords. . The two chords are congruent, meaning they have the same length.
3. We are considering the minor arcs formed by these chords. A minor arc is the smaller arc formed by two points on a circle.
4. The statement is asking if the minor arcs formed by congruent chords are also congruent.

STEP 2

We need to understand the properties of circles and chords. According to the properties of circles, if two chords in a circle are congruent, then their corresponding minor arcs are also congruent.

STEP 3

Therefore, based on the properties of circles, the statement "If two chords of the same circle are congruent, then their minor arcs are congruent" is true.
So, the answer is A. Yes.

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