Class 8, Maths, Chapter 3, Exercise 3.3, Solutions

Q.1. Given a parallelogram ABCD. Complete each statement along with the definition or property used.

Q.2. Consider the following parallelograms. Find the values of the unknowns x, y, z.

Q.3. Can a quadrilateral ABCD be a parallelogram if

(i) ∠D + ∠B = 180°?

(ii) AB = DC = 8 cm, AD = 4 cm and BC = 4.4 cm?

(iii) ∠A = 70° and ∠C = 65°?

Q.4. Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure.

Q.5. 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.

Q.6. Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.

Q.7. The adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them.

Q.8. The following figures GUNS and RUNS are parallelograms. Find x and y. (Lengths are in cm)

Q.9. In the given figure both RISK and CLUE are parallelograms. Find the value of ‘x’.

Q.10. Explain how this figure is a trapezium. Which of its two sides are parallel? (Figure)

Q.11. Find m∠C in given figure if $\overline{AB}\,||\,\,\overline{DC}$.

Q.12. Find the measure of ∠P and ∠S if $\overline{SP}\,||\,\,\overline{RQ}$ in given Figure. (If you find m∠R, is there more than one method to find m∠P?)

NCERT Solutions For Class 8 Maths Chapter 3, Understanding Quadrilaterals (All Exercises)