In any enlargement or reduction, we multiply the lengths in the object by the scale factor to get the lengths in the image.
A scale factor is :
Using scale factor of
i) 2 and ii) 1/2
i) Since the scale factor is 2, it should be enlargement. To get enlarged figure, we have to multiply each side length by 2.
ii) Since the scale factor is 1/2, it should be reduction. To get reduced figure, we have to multiply each side length by 1/2.
In the following diagrams, A has been enlarged to A'. Find the scale factor.
Problem 1 :
Solution:
So, the scale factor is 2.
Because, the scale factor 2 is greater than 1, this is an enlargement.
Problem 2 :
Solution:
So, the scale factor is 3.
Because, the scale factor 3 is greater than 1, this is an enlargement.
Problem 3 :
Solution:
So, the scale factor is 1.5.
Because, the scale factor 1.5 is greater than 1, this is an enlargement.
In the following diagrams, B' is a reduction of B. Find the scale factor.
Problem 4 :
Solution:
So, the scale factor is 1/2.
Because the scale factor 1/2 is less than 1, this is a reduction.
Problem 5 :
Solution:
So, the scale factor is 1/6.
Because the scale factor 1/6 is less than 1, this is a reduction.
Problem 6 :
Solution:
So, the scale factor is 3/4.
Because the scale factor 3/4 is less than 1, this is a reduction.
In the following diagrams, A has been enlarged to B. Find the scale factor
Problem 7 :
Solution :
Calculating length of corresponding sides,
Length of the shape B = 4
Length of the shape A = 1
Scale factor = Dimension of shape B/Dimension of shape A
= 4/1
= 4
So, the scale factor is 4. It is enlargement.
Problem 8 :
Solution :
Calculating length of corresponding sides,
Length of the shape B = 4
Length of the shape A = 2
Scale factor = Dimension of shape B/Dimension of shape A
= 4/2
= 2
So, the scale factor is 2. It is enlargement.
Problem 9 :
Solution :
Calculating length of corresponding sides,
Length of the shape B = 2
Length of the shape A = 1
Scale factor = Dimension of shape B/Dimension of shape A
= 2/1
= 2
So, the scale factor is 2. It is enlargement.
Problem 10 :
Solution :
Calculating length of corresponding sides,
Length of the shape B = 1
Length of the shape A = 3
Scale factor = 1/3
So, the scale factor is 1/3. It is reduction.
Problem 11 :
Solution :
Calculating length of corresponding sides,
Length of the shape B = 1
Length of the shape A = 2
Scale factor = 1/2
So, the scale factor is 1/2. It is reduction.
Problem 12 :
Solution :
Calculating length of corresponding sides,
Length of the shape B = 1
Length of the shape A = 3
Scale factor = 1/3
So, the scale factor is 1/3. It is reduction.
Problem 13 :
Solution :
Calculating length of corresponding sides,
Length of the shape B = 3
Length of the shape A = 1
Scale factor = 3/1
So, the scale factor is 3. It is enlargement.
Problem 14 :
Solution :
Calculating length of corresponding sides,
Length of the shape B = 2
Length of the shape A = 1
Scale factor = 2/1
So, the scale factor is 2. It is enlargement.
Problem 15 :
Solution :
Calculating length of corresponding sides,
Length of the shape B = 1
Length of the shape A = 2
Scale factor = 1/2
So, the scale factor is 1/2. It is reduction
May 21, 24 08:51 PM
May 21, 24 08:51 AM
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