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The Chords Corresponding to Congruent Arcs Are Congruent

If arcAC and ...

Question

If arc(AC) and arc(DE) are congruent and AC = 4 cm, then DE = _____.

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Solution

We know that the chords corresponding to congruent arcs of a circle ( or congruent circles) are congruent.
Given, arc(AC) and arc(DE) are congruent.
Chord corresponding to arc(AC) is AC and chord corresponding to arc(DE) is DE.
Since it is given that AC = 4 cm, we must have DE = 4 cm.

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