ABCD is a square, X and Y are points on sides AD and BC respectively such that AY=BX. Prove that BY=AX and `/_BAY=/_ABX`.

ABCD is a square. P, Q and Rare the points on AB, BC and CD respectively, such that AP = BQ = CR. Prove that: PB = QC

ABCD is a square. P, Q and Rare the points on AB, BC and CD respectively, such that AP = BQ = CR. Prove that: PQ = QR

In Figure,X,Y are two points on equal sides AB and AC of a ABC such that AX=AY . Prove that XC=YB

In Figure,X and Y are two points on equal sides AB and AC of a o+ABC such that AX=AY. Prove that XC=YB

In the fig. X and Y are respectively two points on equal sides AB and AC of triangleABC such that AX=AY. Prove that CX=BY

In the adjoining figure,X and Y are respectively two points on equal sides AB and AC of Delta ABC such that AX=AY. Prove that CX=BY.

In the adjoining figure, X and Y are respectively two points on equal sides AB and AC of DeltaABC such that AX = AY. Prove that CX = BY.

ABCD is a parallelogram. Two points P and Q are taken on sides AD and BC respectively such that AP 1/3ADand CQ=1/3BC. Prove that square AQCP is a parallelogram.

K, L, M and N are points on the sides AB, BC, CD and DA respectively of a square ABCD such that AK = BL = CM = DN. Prove that KLMN is a square.

ABCD is a parallelogram. Tow points P and Q are taken on sides AD and BC respectively such that AP 1/3ADand CQ=1/3BC. Prove that squareAQCP is a parallelogram.