IGCSE /Grade 9
Maths MCQ Based On Dilations classify and find scale factor
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IGCSE Grade 9 Maths Dilations classify and find scale factor
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A dilation with a scale factor of 0.8 means that the image will be reduced in size.
The scale factor = length in the image divided by the length in the original figure
Given that the scale factor is 1:4, which can be written as 1/4, we can square this value to find the ratio of the areas.
\\(The \\hspace{0.1cm}scale\\hspace{0.1cm} factor= {length\\hspace{0.1cm} in\\hspace{0.1cm} the \\hspace{0.1cm}image\\over length\\hspace{0.1cm} in\\hspace{0.1cm} the\\hspace{0.1cm} original\\hspace{0.1cm} figure }\\)
\\(The \\hspace{0.1cm}scale\\hspace{0.1cm} factor= {length\\hspace{0.1cm} in\\hspace{0.1cm} the \\hspace{0.1cm}image\\over length\\hspace{0.1cm} in\\hspace{0.1cm} the\\hspace{0.1cm} original\\hspace{0.1cm} figure }\\)
Consider how the scale factor of 2 will impact the side lengths of the triangle when multiplied by the lengths of the corresponding sides of the preimage.
\\(The \\hspace{0.1cm}scale\\hspace{0.1cm} factor= {length\\hspace{0.1cm} in\\hspace{0.1cm} the \\hspace{0.1cm}image\\over length\\hspace{0.1cm} in\\hspace{0.1cm} the\\hspace{0.1cm} original\\hspace{0.1cm} figure  }\\)
Length of the image = Length of the preimage * Scale factor
Width of the image = Width of the preimage * Scale factor
Area of the image = (Scale factor)2 \\(\\times\\) Area of the preimage
To determine the effect of a dilation with a scale factor on the size of the image, consider the relationship between the scale factor and the resulting dimensions of the figure.
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