Search

1 of 8 0-day streak

Enlargement transformation and scale factor

Question 1 of 8

No calculator

The measurements below describe an original display panel and its image

The original quadrilateral has vertices J, K, L, M, in the order listed. Matching vertices in the image use the same labels with a prime mark

Original: \(JK=11\ \mathrm{cm}\); \(KL=9\ \mathrm{cm}\); \(LM=15\ \mathrm{cm}\); \(MJ=11\ \mathrm{cm}\)

Image: \(J'K'=33\ \mathrm{cm}\); \(K'L'=27\ \mathrm{cm}\); \(L'M'=45\ \mathrm{cm}\); \(M'J'=33\ \mathrm{cm}\)

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

Original. Original and image drawn to the same scale, with matching vertex names.JKLMOriginalImage. Original and image drawn to the same scale, with matching vertex names.J′K′L′M′Image

Both figures use the same drawing scale. Matching vertices have the same letter; the image has a prime mark

1 mark

Find the exact factor that maps the original polygon to its image

Format: Exact value