P is the mid-point of the side CD of a parallelogram ABCD. A line through C parallel to PA intersects AB at Q and DA produced at R. Prove that DA=AR and CW

ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA (see Fig 8.29). AC is a diagonal. Show that:(i) SR || AC and SR = 1/2 AC(ii) PQ = SR(iii) PQRS is a parallelogram.

In parallelogram ABCD, two point P and Q are taken on diagonal BD such that DP=BQ. Show that(i) △APD≅△CQB(ii) AP=CQ(iii) △AQB≅△CPD(iv) AQ=CP(v) APCQ is a parallelogram

In a ΔABC, P and Q are respectively the midpoints of AB and BC and R is the midpoint of  line segment AP. Then if ar(ΔRQC) = k ar(ΔABC). Then k equals

A line intersects sides PQ and PR of ∆ PQR at A and B, respectively, and is parallel to QR, as shown in the figure. Prove that AP/PQ= BR/PR

Quadrilateral ABCD has diagonals AC and BDWhich information is not sufficient to prove and ABCD is a parallelogram?Group of answer choicesAB is congruent to CD and AB is parallel to CDAB is congruent to CD and BC is congruent to ADAC and BD bisect each otherAB is congruent to CD and BC is parallel to AD