HARD
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In the adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the geometrical truths you use to find them.

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Important Questions on Quadrilaterals

MEDIUM
In quadrilateral ABCD, the bisectors of A and B meet at O and AOB=64°, C+D=?
EASY
In a quadrilateral ABCD, the bisector of C and D meet at E. If CED=56° and A=49°, then the measure of B is: 
MEDIUM
PQRS is a cyclic quadrilateral in which PQ=14.4 cm, QR=12.8 cm and SR=9.6 cm. If PR bisects QS, what is the length of PS?
MEDIUM

A circle is inscribed in quadrilateral ABCD, touching sides AB, BC, CD and DA at P, Q,R and S, respectively. If As=6cm, BC=12cm and CR=5cm, then the length of AB (in cm) is

EASY
Three acute angles of a quadrilateral are 82° each. Find out the fourth angle. 
MEDIUM
From a point P, which is at a distance of 13 cm from the centre O of a circle, a pair of tangents PQ and PR of length 12 cm are drawn to the circle. The area of the quadrilateral PQOR (in cm2) is:
EASY
In a circle with centre OAC and BD are two chords. AC and BD meet at E when produced. If AB is the diameter and AEB=68°, then the measure of DOC is:
MEDIUM
Vertices A, B,C and D of a quadrilateral ABCD lie on a circle, A is three times C andD is two timesB . What is the difference between the measures of D and C?
MEDIUM
If angles of a quadrilateral are in the ratio 3:5:9:13, find the largest angle.
EASY
In the given figure, if AB=10 cmCD=7 cmSD=4 cm and AS=5 cm, then BC=?
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EASY
In quadrilateral PQRS, RMQS, PNQS and QS=6cm. If RM=3cm and PN=2cm, then the area of PQRS is:
EASY
Shape made by the bisectors of angles of a parallelogram is
HARD
Let ABC be a triangle with sides a,b,c. Then lengths of medians of the triangle formed by the medians of the triangle ABC are
MEDIUM

How many quadrilaterals are there in the given figure?

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MEDIUM

In the figure, PQRS and  ABCR are two parallelograms. If P = 110° then, find the measures of all angles of  ABCR.

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EASY
Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.
MEDIUM

In figure,  ABCD is a parallelogram. Point E is on the ray AB such that BE=AB, then prove that line ED bisects segment BC at point F.

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MEDIUM

Perimeter of a parallelogram is 150 cm. One of its sides is greater than the other side by 25 cm. Find the lengths of all sides.

EASY
If the given figure RUNS is a parallelogram, then find the values of x and Y

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