Draw a graph for the original figure and its dilated image. Check whether the dilation is a similarity transformation or not. Given: The given vertices are J(-6,8),K(6,6),L(-2,4),D(-12,16),G(12,12),H(-4,8)

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Draw a graph for the original figure and its dilated image. Check whether the dilation is a similarity transformation or not.  Given:  The given vertices are  J(-6,8),K(6,6),L(-2,4),D(-12,16),G(12,12),H(-4,8)

pattererX · Accepted Answer

Calculation: The graph for the given points J(-6,8),K(6,6),L(-2,4),D(-12,16),G(12,12),H(-4,8) is given below.  Find the distance(using distance formula)of corresponding sides and find the ratio. DH=[−12−(−4)]2+[16−8]2=128=82 JL=[−6−(−2)]2+(8−4)2=32=42 DHJL=8242=2 GH=[−12−(−4)]2+(12−8)2=272=417 KL=[6−(−2)]2+(6−4)2=68=217 GHKL=417217=2 DG=[−12−12)2+(16−12)2)=592=437 JK=[−6−6]2+(8−6)2=148=237 DGJK=437237=2 From the above result, the lenght of the sides are proportional and the angles between them are congruent. By the use of SSS similarity, △JLK∼△DHG. Hence the dilation is a similarity transformation.

Draw a graph for the original figure and its dilated image. Check whether the dilation is a similarity transformation or not. Given: The given vertices are J(-6,8),K(6,6),L(-2,4),D(-12,16),G(12,12),H(-4,8)

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