ABCD is a square of side length `1` unit.`P` and `Q` are points on ,`AB` and `BC` such ,that `/_PDQ=45^(@).` Then the , perimeter of `Delta PBQ` is

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 the figure, ABCD is a rectangle, and F and E are points on AB and BC respectively. The area of Delta DFB is 9 and the area of Delta BED is 24. What is the perimeter of the rectangle?

In Delta ABC the lines are drawn parallel to BC,CA and AB respectively through A,B and C intersecting at P, Q and R. Find the ration of perimeter of Delta PQR and DeltaABC

ABCD is a square with each side 12 cm. P is a point on BC such that area of DeltaABP : area of trapezium APCD = 1 : 5 . Find the length of CP.

ABCD is a quadrillateral, with AD parallel to BC (see figure). E is a point between A and D such that BE represents the height of ABCD and E is the midpoint of AD. If the area of triangle ABE is 12.5 square inches, what is the area of ABCD?

ABCD is a square, X is the mid-point of AB and Y the mid-point of BC. Prove that angle DXA = angle AYB

ABCD is a rectangle with AB=16 units and BC=12 units. F is a point on AB and E is a point on CD such that AFCE is a rhombus. Find the length of EF.

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.

ABCD is a square. A is joined to a point P on BC and D is joined to a point Q on AB. If AP = DQ, prove that AP and DQ are perpendicular to each other.