Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The two screens are similar.
What are Similar figures?
Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".
As we know that for the two screens to be similar, the ratio of their sides should be similar, therefore, the ratio of the lengths will be,
[tex]\text{Ratio of lengths} = \dfrac{36}{42} = \dfrac{6}{7}[/tex]
The ratio of the widths of the two screens will be,
[tex]\text{Ratio of widths} = \dfrac{54}{63} = \dfrac{6}{7}[/tex]
Since the ratio of lengths and the widths is the same 6:7, therefore, the two screens are similar.
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