True or False? Two shapes are similar if one is an enlargement of the other.

True. Two shapes are similar if one is an enlargement of the other.

What is the relative size of the second shape compared to the first shape if the scale factor is greater than 1 .

If the scale factor is greater than 1 , it means the second shape is bigger compared to the first shape.

True or False? If the scale factor is between 0 and 1 , the second shape is larger than the first.

False. If the scale factor is between 0 and 1 , the second shape is smaller than the first.

True or False? To find a new length from a known volume , take the cube root of the area scale factor .

True. To find a new length from a known volume, take the cube root of the volume scale factor. This will give you the length scale factor .

Define volume scale factor .

A volume scale factor is a value that is used to relate the corresponding volumes of two similar shapes . It is the cube of the length scale factor .

True or False? To find a new area of a similar shape from a known volume , take the cube root of the volume scale factor .

False. To find a new area from a known volume, first take the cube root of the volume scale factor, then square it to find the area scale factor .

IGCSEMaths A: HigherEdexcelFlashcards

Area & Volume of Similar Shapes (Edexcel IGCSE Maths A)

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Define scale factor.

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Define scale factor.
A scale factor is a value, $k$ , used to relate the corresponding lengths of two similar shapes.
True or False?
Two shapes are similar if one is an enlargement of the other.
True.
Two shapes are similar if one is an enlargement of the other.
What is the relative size of the second shape compared to the first shape if the scale factor is greater than 1.
If the scale factor is greater than 1, it means the second shape is bigger compared to the first shape.
What is the relationship between the length scale factor and the area scale factor?
The area scale factor, $k^{2}$ , is the square of the length scale factor $k$ .
True or False?
If the scale factor is between 0 and 1, the second shape is larger than the first.
False.
If the scale factor is between 0 and 1, the second shape is smaller than the first.
What is the relationship between the length scale factor and the volume scale factor?
The volume scale factor, $k^{3}$ , is the cube of the length scale factor $k$ .
True or False?
To find a new length from a known volume, take the cube root of the area scale factor.
True.
To find a new length from a known volume, take the cube root of the volume scale factor. This will give you the length scale factor.
How do you find a new area of a similar shape from a known length using the scale factor, $k$ ?
Square the length scale factor, $k$ , to find the area scale factor, $k^{2}$ .
Define volume scale factor.
A volume scale factor is a value that is used to relate the corresponding volumes of two similar shapes. It is the cube of the length scale factor.
True or False?
To find a new area of a similar shape from a known volume, take the cube root of the volume scale factor.
False.
To find a new area from a known volume, first take the cube root of the volume scale factor, then square it to find the area scale factor.

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