1) Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.
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1) Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.
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AND GIVE me THANKS PLEASE
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There are five main modes of seed dispersal: gravity, wind, ballistic, water, and by animals. Some plants are serotinous and only disperse their seeds in response to an environmental stimulus
Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.
Let us consider a circle with center O and two equal chords of a circle AB and CD.
We need to prove that ∠AOB=∠COD
In △ AOB and COD, we have
AO=CO (Radius of the circle)
BO=DO (Radius of the circle)
AB=CD (Equal chords)
By SAS criterion of congruence, we have
△AOB≅△COD
⇒∠AOB=∠COD
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