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Enlargement transformation and scale factor

Question 1 of 8

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An original display panel is changed to the image described below

The original quadrilateral has vertices W, X, Y, Z, in the order listed. Matching vertices in the image use the same labels with a prime mark

Original: \(WX=2\ \mathrm{cm}\); \(XY=2\ \mathrm{cm}\); \(YZ=2\ \mathrm{cm}\); \(ZW=3\ \mathrm{cm}\)

Image: \(W'X'=26\ \mathrm{cm}\); \(X'Y'=26\ \mathrm{cm}\); \(Y'Z'=26\ \mathrm{cm}\); \(Z'W'=39\ \mathrm{cm}\)

Use side WX and its matching image side to find the scale factor

Original. Original and image drawn to the same scale. The smaller figure is labelled in a separate close-up.OriginalImage. Original and image drawn to the same scale. The smaller figure is labelled in a separate close-up.W′X′Y′Z′Image

Both figures above use the same drawing scale

Original close-up: drawn larger so you can see the corners. Use the pair above to compare sizes

Original close-up at a different drawing scale, with corners W, X, Y, Z.WXYZ
1 mark

Calculate the image-length-to-original-length factor \(k\)

Format: Exact value