WJEC MATHEMATICS
INTERMEDIATE
SHAPE AND AREA
CONGRUENCY AND SIMILAR
SHAPES
1
Contents
Congruency
Similar Shapes
Credits
WJEC Question bank
http://www.wjec.co.uk/question-bank/question-search.html
2
Congruency
Two shapes are said to be congruent if all the sides and angles are
identical to each other.
Example
These three shapes
are congruent
These two shapes are
not congruent
Exercise G7
1.
3
2.
Which are congruent?
2.
3.
4
Exam Questions G17
1.
2.
5
Similar Shapes
Two Shapes are said to be similar if;
 one is an enlargement of the other (Think of this as clicking the
corner of a shape in PowerPoint and making it larger)
 all corresponding sides are in the same proportion or ratio
Example 1
diagrams not These two shapes are
drawn to scale
not similar
Example 2
Consider the following two shapes. State whether or not they are
similar
These shapes
are similar
because the
4cm
sides of the
10cm
larger shapes
are 2.5 times
3cm
the lengths of
the smaller
shape
diagrams not
7.5cm
drawn to scale
6
Exercise G8
1. Which pairs of shapes are similar?
2. Which of the following pairs of shapes are similar?
a.
5cm
10cm
4cm
8cm
b.
15cm
4cm
12cm
5cm
c.
6cm
8cm
8cm
d.
10cm
10cm
100cm
7
Exam Questions G18
1.
2.
8