Page 19 - Cambridge IGCSE Mathematics Core and Extended

(g) Which quadrilaterals have its diagonals 5. Find the value of x in each of the following
that bisect each other at a right angle? diagrams.
(h) Quadrilateral B has two lines of (a) (b)
x 40°
symmetry. Determine the type of 28° x
quadrilateral B. 106°
4. Find the value of x in each of the following (c) 18° (d)
x 24° x
quadrilaterals.
(a) (b) x 37° 80° 136°
124°
x 114° 110°

145° 104°
43° (e) (f)
125° x
88°
x
43° 50°
(c) 50° (d)
x 109°
x 124°

100° 78° 50° 77°
Concept Map

Polygons I
A closed plane shape made up of three or more straight lines.

Pentagon Hexagon Heptagon Octagon

Triangle Symmetry Quadrilateral
• A closed plane shape made up A shape that has symmetry has • A closed plane shape made up
of three sides. parts that match each other of four sides.
• Sum of all angles is 180°. perfectly when folded along a line. • Sum of all angles is 360°.

Equilateral triangle Rectangle
Isosceles triangle
60°
Square
60°60°
Acute-angled Scalene triangle Rhombus
triangle

Parallelogram

Obtuse-angled
Right-angled triangle Trapezium
triangle

Chapter 11 Polygons I 159

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