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Question
If arc(AC) and arc(DE) are congruent and AC = 4 cm, then DE = _____.
If arc(AC) and arc(DE) are congruent and AC = 4 cm, then DE = _____.Open in App
Solution
The correct option is B 4 cm
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.
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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