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Similarity

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by

Mr Mattock

on 30 April 2018

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Transcript of Similarity

Similarity
Starter
Main Activity
L.O. Find the scale factor between two similar shapes and use it to find missing lengths.
Rectangle B is a enlargement of rectangle A.
A
6 cm
15 cm
What is the scale factor of the enlargement?
Calculate the width of B.
B
4 cm
Starter
Rectangle B is a enlargement of rectangle A.
A
6 cm
15 cm
What is the scale factor of the enlargement?
2.5
Calculate the width of B.
10 cm
B
4 cm
Example
Triangle B is similar to triangle A.
6 cm
5 cm
20 cm
a
b
13
1
3
Find the values of a and b.
Example
Triangle B is similar to triangle A.
6 cm
5 cm
20 cm
a = 16
b = 4 cm
13
1
3
Find the values of a and b.
x 3
1
3
2
3
A and L - S.F.

B and N - S.F. 0.4

C and M - S.F.

D and K - S.F. 1

E an P - S.F. 1.6

F and Q - S.F. 1.2

G and R - S.F. 1

H and S - S.F
2
3
2
3
1
3
1
3
15
16
Main Activity 2
Find the value of each letter in the diagrams.
Main Activity 2
Find the value of each letter in the diagrams.
x = 8, y = 5
1
3
a = 8, b = 16
a = 40, b = 28.8
x = 28, y = 26.25
y = 10
a = 2.4
Activities
Activity
Answers

Key
Examples

Worked
Example

Similar Shapes
Two shapes are similar if one is an
enlargement of the other.
Are these shapes similar?
5 cm
7 cm
10 cm
12 cm
6 cm
8.54 cm
Are these shapes similar?
5 cm
7 cm
10 cm
12 cm
6 cm
8.54 cm
No because:

12/10 = 1.2
6/5 = 1.2
8.54/7 = 1.22
Worked
Example
Full transcript