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Construction to Bisect a Given Angle

ABCD is a par...

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ABCD is a parallelogram. A circle through A and B is drawn, so that it interests AD at P and BC at Q. Prove that P, Q, C and D are concyclic.

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ABCD is a parallelogram. A circle through A, B is so drawn that it intersects AD at P and BC at Q. Prove that P, Q, C, and D are concyclic.

Q. ABCD is a parallelogram. The circle through A, B and C intersects CD (produce if necessary) at E. Prove that AE=AD.

Q. ABCD is a parallelogram. The circle through A, B and C intersect CD (produce if necessary) at E. Prove that AE = AD.

ABCD is a parallelogram. A circle passes through A,B and C. The circle intersects the line CD produced at E. Prove that AE = AD. [3 MARKS]

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