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Congruence of Arcs

If arc(AC) an...

Question

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

A

2 cm

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B

4 cm

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C

6 cm

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D

5 cm

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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.

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