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What is the scale factor of the dilation of triangle DEF? Download png

Timothy Norman

in Mathematics

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Samantha Barber on February 15, 2019

Answer: in the First place option 3/10SolutionThe scale factor of the dilation of triangle DEF is the ratio between the corresponding sides of the triangle D E F, and the triangle DEF:Scale factor: f=D F'/DF=D E'/=E F'/EF (1)we can find the relationship D (F'/DF using the similar triangles OD F', and ODF, because their sides must be proportionals:D F'/DF='/OF=OD'/OD (2)we know that according to the figure:OF'=3 and F ° F=7, then:='+F F→=3+7→=10Then replacing in (2):(2) D F'/DF=3/10=OD'/ODAnd by replacing in (1):(1) f=3/10=D E'/=E F'/EFAnswer: The scale factor of the dilation of triangle DEF is 3/10


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