LegnaT386576 LegnaT386576

31-10-2022
Mathematics

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quadrilateral ABCD is rotated 90° clockwise about the origin and then dilated by a scale factor of 2 to produce lJKL, as shown in the figure .

quadrilateral ABCD is rotated 90 clockwise about the origin and then dilated by a scale factor of 2 to produce lJKL as shown in the figure class=

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ZenL310594 ZenL310594

31-10-2022

we know that

Quadrilateral ABCD and IJKL are similar

because a rotation is a rigid transformation( produces congruent figures) but dilation is a non rigid transformation (produces similar figures)

that means

Its corresponding sides are proportional and its corresponding angles are congruent

so

AB/IJ=BC/JK=AD/IL=CD/KL

therefore

the answer is the last option

Answer Link

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