Page 16 - Cambridge IGCSE Mathematics Core and Extended

11.4 Quadrilaterals

A. Identifying quadrilaterals
Vertex
A quadrilateral is a polygon having four sides.
Side
Angle
B. Line(s) of symmetry of quadrilaterals

Example 10
Determine the number of line(s) of symmetry and draw the line(s)
of symmetry for each of the following quadrilaterals.

(a) (b)

Solution

(a) (b)

4 lines of symmetry 2 lines of symmetry
C. Drawing quadrilateral

Example 11
Draw a quadrilateral PQRS with PQ = 8 cm, QR = 6.4 cm,
RS = 4 cm, /PQR = 90° and /QRS = 75°.

Solution
Step 
Draw line PQ of length 8 cm using a ruler. P Q
8 cm
Step 2
Draw an angle of 90° at point Q using a
protractor. P 8 cm Q
Step 3 R
Mark point R on the arm of the angle 90°
using a ruler so that QR = 6.4 cm. 6.4 cm
P Q
8 cm
Step 4
Draw an angle of 75° at point R using a R
protractor. 75°
6.4 cm

P Q
8 cm

156 Cambridge IGCSE Mathematics

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