My Math Forum Need help with circle geometry please

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May 22nd, 2017, 02:55 AM   #1
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Need help with circle geometry please

Hello everyone I really cant figure out these questions I got for a homework finished with 90% of it just cant crack these few questions.

Below is the first question Sketch(Also Attached)

A and B lie on the smaller circle,D and E lie on the bigger circle and C and F are points of intersection of the two circles.ABG,FCG and AFE are straight lines.B1=x

Question 1
1)Bind BD then prove:
1.1)Angle B formed by GBD=Angle E
1.2)Angle D formed by BDG=Angle A

Question 2 Sketch(Also Attached)

The diameter AG is produced to C.EC is a tangent to the circle at D,A,D,G and F lie on the circle and DC=B.AFB is a straight line and A1=x and ADCB is a cyclic quadrilateral.

Question 2
2.1)Prove that AC bisects Angle A formed by BAD

2.2)Prove that DG=FG

2.3)Determine with reasons the size of Angle C2

2.4)Prove that angle G1=O2

2.5)Prove that FBCG is a cyclic quadrilateral

2.6)For what value of x will DC be a tangent to the circle through F,B,C and G?

Any kind of help will be much appreciated!
Attached Images
 mATH2.jpg (7.6 KB, 2 views) g.jpg (9.2 KB, 1 views)

 Tags circle, geometry

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