In the adjoining gure, two points A and B lie on the same side of a line XY if AD XY, BEXY and Cis the midpoint of AB, prove that CD CE

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

In the given figure, equilateral ΔABD and ΔACE are drawn on the sides of a ΔABC. Prove that CD = BE.

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.

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

In the given figure, CD is a direct common tangent to two circles intersecting each other at A and B. Then,