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Chapter 3: Constructing Quadrilaterals > Easy Level Worksheet Questions

Easy Level Worksheet Questions

Part A: Subjective Questions

Note: Write the answers neatly on a sheet and submit them to your school subject teacher.

(1) How many measurements are generally needed to construct a quadrilateral?

(2) Name a quadrilateral with all sides equal.

(3) What is the sum of the interior angles of a quadrilateral?

(4) Write the number of diagonals in a quadrilateral.

(5) A quadrilateral with opposite sides equal and parallel is called?

Drag each description to its correct quadrilateral type:

All sides equal, all angles 90°
All sides equal, diagonals not equal
Opposite sides equal and parallel
Two pairs of adjacent sides equal
Diagonals equal and bisect at 90°
All sides equal, opposite angles equal
Opposite sides parallel, diagonals bisect each other
One diagonal is axis of symmetry
Square
Rhombus
Parallelogram
Kite

(1) Construct a quadrilateral PQRS in which PQ = 4 cm, QR = 5 cm, RS = 6 cm, PS = 4.5 cm, and PR = 7 cm.

(a) This requires 4 sides and 1 diagonal. Construction method:

(b) Type of construction data:

(2) Draw a rhombus whose diagonals are 6 cm and 8 cm.

(a) In a rhombus, diagonals bisect each other at

(b) Each half diagonal will be

(3) Construct a quadrilateral ABCD with AB = 5 cm, BC = 6 cm, CD = 5 cm, DA = 4 cm, and AC = 7 cm.

(a) Start by constructing triangle

(b) Then locate point D using

(4) Draw a quadrilateral LMNO in which LM = 4 cm, MN = 6 cm, NO = 5 cm, OL = 5.5 cm, and diagonal LN = 7 cm.

(a) This is a construction

(b) First construct triangle

Test your understanding with these multiple choice questions:

6. Which tool is NOT required for construction of quadrilaterals?

(a) Compass (b) Protractor (c) Calculator (d) Scale

Compass
Protractor
Calculator
Scale

Correct! Calculator is not needed for geometric construction - only drawing tools are required.

7. If one angle of a quadrilateral is 90° and the other three are equal, then each of them is:

(a) 60° (b) 70° (c) 90° (d) 100°

60°
70°
90°
100°

Correct! Sum = 360°. If one angle is 90°, remaining 270° ÷ 3 = 90° each.

8. The quadrilateral with two pairs of adjacent sides equal is called:

(a) Trapezium (b) Kite (c) Rectangle (d) Parallelogram

Trapezium
Kite
Rectangle
Parallelogram

Correct! A kite has two pairs of adjacent sides equal.

9. A quadrilateral with all sides equal and diagonals not equal is:

(a) Square (b) Rhombus (c) Rectangle (d) Trapezium

Square
Rhombus
Rectangle
Trapezium

Correct! A rhombus has all sides equal but unequal diagonals (unless it's a square).

10. If the diagonals of a quadrilateral bisect each other, it is a:

(a) Square (b) Parallelogram (c) Trapezium (d) Kite

Square
Parallelogram
Trapezium
Kite

Correct! If diagonals bisect each other, the quadrilateral is a parallelogram.