Question

Classify the following scale factors as either an enlargement or reduction.

a) 0.75
b) 1.25
c) 1
d) 0.5

Answer 1

The given scale factors can be classified as either enlargements or reductions. Scale factor 0.75 and 0.5 are reductions, while scale factor 1.25 is an enlargement. Scale factor 1 does not change the size of the shape.

Step-by-step explanation:

The scale factors can be classified as follows:

1. (a) 0.75 - This is a reduction because it is less than 1. For example, if you have a shape with a side length of 10 units and you multiply it by 0.75, the resulting length will be 7.5 units.
2. (b) 1.25 - This is an enlargement because it is greater than 1. For example, if you have a shape with a side length of 10 units and you multiply it by 1.25, the resulting length will be 12.5 units.
3. (c) 1 - This is neither an enlargement nor a reduction because multiplying by 1 does not change the size of the shape.
4. (d) 0.5 - This is a reduction because it is less than 1. For example, if you have a shape with a side length of 10 units and you multiply it by 0.5, the resulting length will be 5 units.

Answer 2

Scale factors less than 1, specifically 0.75 and 0.5, indicate reductions, while a factor greater than 1, 1.25, indicates an enlargement. A scale factor of 1 means no change in size.

Step-by-step explanation:

To classify the following scale factors as either an enlargement or a reduction, we need to consider values greater than 1 as enlargements and values less than 1 as reductions:

a) 0.75 - Since this scale factor is less than 1, it indicates a reduction.

b) 1.25 - As this scale factor is greater than 1, it indicates an enlargement.

c) 1 - A scale factor of 1 means there is no change in size, so there is neither an enlargement nor a reduction.

d) 0.5 - This scale factor is less than 1, which means it represents a reduction.