INET || Elementary Mathematics || Geometry || Quadrilaterals || Quiz 2020

If X is any point within a square ABCD and on AX a square AXYZ is described, which of the following is/are correct?

1) BX = DZ, BZ = DX

2) ÃABX = ÃADZ, ÃADX = ÃABZ

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In the above figure, ABCD is a parallelogram. P is a point on BC such that PB : PC = 1 : 2. DP and AB when both produced meet at Q. If area of triangle BPQ is 20 square unit, the area of triangle DCP is:

In any parallelogram ABCD, if diagonals cut each other at O and OA=3cm, OB=4cm, then find the length of line segment BD.

ABCD is a parallelogram E is a point on BC such that BE : EC = m : n. If AE and DB intersect in F, then what is the ratio of the area of triangle FEB to the area of triangle AFD?

Let ABCD be a parallelogram. Let P, Q, R, S be the mid-points of sides AB, BC, CD, DA respectively. Consider the following statements :

1. Area of triangle APS < Area of triangle DSR if BD < AC

2. Area of triangle ABC = 4 (Area of triangle BPQ).

Select the correct answer using the code given below :