Construction of Quadrilaterals Exercise

1. Make the following constructions:

(a) A square with a sides of 3 cm.
Use your ruler to measure the length of the diagonal (to the nearest millimetre).
(b) A rectangle with sides of 5.4 cm and 4.5 cm. 
Use your ruler to measure the length of the diagonal (to the nearest millimetre).

2. Make the following constructions:

(a) Construct an paralleogram with two sides of 6 cm and 5 cm and angles of 80oand 100o.
(b) Construct an isosceles trapezium with a base of 9.5 cm, base angles of 45 degrees and non-parallel sides of 4 cm.

3. Make the following constructions:

(a) Mark four points on your paper.
(b) Label them A, B, C and D. 
(c) Join them to form a quadrilateral ABCD.
(d) Use your ruler to measure the lengths of sides AB, BC, CD and AC. 
(Measure to the nearest millimetre).
(e) Use your protractor to find the size of the four inside angles of the triangle (to the nearest degree) and check that they add to 360o.

4. Use a ruler, compasses and protractors to construct the following:

a. A rectangle
b. A parallelogram
c. A quadrilateral

 

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Task: Measure the length of the diagonal. Task: Measure the length of the shortest diagonal. Task: Find the sizes of the unmarked angles and side.

5. Make the following constructions:

(a) Using a protractor or set square, construct an angle ABC of 60°.
(b) Use your ruler to make AB = 6 cm and BC = 6 cm.
(c) Find point D to make the rhombus ABCD.

6. How many quadrilaterals can you draw with sides of 4 cm, 5 cm, 6 cm and 7 cm?