List of top Mathematics Questions on Kinds of Quadrilaterals

The adjacent figure \(HOPE\) is a parallelogram. Find the angle measures \(x, y\) and \(z\). State the properties you use to find them.
adjacent figure HOPE
Consider the following parallelograms. Find the values of the unknowns \(x, y, z\).
parallelograms
Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure.
Explain how this figure is a trapezium. Which of its two sides are parallel?
figure KLMN
Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.
Find the measure of \(∠P\) and \(∠S\) if \(\bar {SP} || \bar{RQ}\) in Figure. (If you find \(m∠R\), is there more than one method to find \(m∠P\) ?)
Find \(m∠C \) in Figure if \(\bar {AB}|| \bar{DC}\)
figure ABCD
RISK and CLUE parallelograms
In the above figure both \(RISK\) and \(CLUE\) are parallelograms. Find the value of \(x\).
The following figures \(GUNS\) and \(RUNS\) are parallelograms. Find \(x\) and \(y\). (Lengths are in cm)
figure of GUNS and RUNS
The measures of two adjacent angles of a parallelogram are in the ratio \(3 : 2\). Find the measure of each of the angles of the parallelogram.
Can a quadrilateral \(ABCD\) be a parallelogram if 
  1. \(\angle D + ∠B = 180°\)? 
  2. \(AB = DC = 8 \;cm\), \(AD = 4 \;cm\) and \(BC = 4.4 \;cm\)? 
  3. \(∠A = 70°\) and \(∠C = 65°\)?
Given a parallelogram \(ABCD\). Complete each statement along with the definition or property used. 
  1. \(AD\) = ...... 
  2. \(\angle \; DCB\) = ...... 
  3. \(OC\) = ...... 
  4. \(m\; \angle \;DAB + m \;\angle \;CDA\) = ......