Mathematics
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OpenStudy (anonymous):
For the next 8 questions use the kite inscribed in circle p.
1. If the measure of arc BC is 63 degrees, calculate m
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OpenStudy (anonymous):
OpenStudy (anonymous):
@hartnn @ganeshie8
hartnn (hartnn):
1. measure of arc is same as that it inscribes at centre.so whats m<BPC=?
OpenStudy (anonymous):
63?
OpenStudy (anonymous):
degrees*
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hartnn (hartnn):
yup.
hartnn (hartnn):
2. since AB=BC,measure of arc AB also = 63
so whats measure of arc AC?
OpenStudy (anonymous):
126 degrees
hartnn (hartnn):
yup.
3. done,ok? true or false?
4. can u prove AED and CED triangles congruent?
OpenStudy (anonymous):
3's done?
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OpenStudy (anonymous):
And yes CED and AED are congruent.
ganeshie8 (ganeshie8):
just now we found measure of arc AB=63. so... ?
OpenStudy (anonymous):
False?
ganeshie8 (ganeshie8):
yup. and it is possible for having a 90 degrees in kite. so tick False !
hartnn (hartnn):
since those triangles are congruent,can u say AD=CD?
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OpenStudy (anonymous):
yup
hartnn (hartnn):
so 4. is yes.
5. i don't think there is anyway to show that BCD=90,
6. already proved that in 2.
OpenStudy (anonymous):
7. true as well?
hartnn (hartnn):
yup,because both angles are subtended by same arc BC
OpenStudy (anonymous):
5. not possible, or false?
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ganeshie8 (ganeshie8):
im thinking of 5th Q.... i dont see anyway to prove it using kite properties.
but it is angle in semi-circle. so its a right angle... .
hartnn (hartnn):
oh yes!
agle BCD is 90 degree as @ganeshie8 said.
OpenStudy (anonymous):
okay so true for 5.
hartnn (hartnn):
now angle subtended by an arc on the circle is half the angle subtended at center.
so angle BDC = 1/2 *BPC =1/2 arc BC =??
hartnn (hartnn):
^^ was 8.
yup true for 5.
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OpenStudy (anonymous):
31.5?
hartnn (hartnn):
and 7. true because both angles are subtended by same arc BC
OpenStudy (anonymous):
okay.
hartnn (hartnn):
yes,31.5 degrees for 8.
OpenStudy (anonymous):
thank you SO MUCH
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hartnn (hartnn):
got all?
hartnn (hartnn):
welcome :)
hartnn (hartnn):
ok,m ready for your next question ;)