maths

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(i) $ΔABD≅ΔACD$

(ii) $ΔABP≅ΔACP$

(ii) $AP$ bisects $∠A$ as wll as $∠D$.

(Iv) $AP$ is the perpendicular bisector of $BC$.

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State whether the following statement is true or false.

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In the parallelogram ABCD, the angles A and C are obtuse. Points X and Y are taken on the diagonal BD such that the angles XAD and YCB are right angles.

Prove that: XA = YC.

**State whether the above statement is true or false.**

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