Question

A company is looking to design a new cover for their smartphone. The scale drawing of the design is shown below. The coordinates of the actual cover are: A' (22, 0); B' (0, 0); C' (0, 44); D' (22, 44). Is the design of the cover similar to the actual cover? Rectangle ABCD is shown. Point A at 2,0. B is at 0,0. C is at 0,4. D is at 2,4.

Answer 1

Yes; the corresponding sides are proportional. I don't know if this helps but I put this as my answer and got it right.

Answer 2

Yes, it is similar.

The scale drawing and the actual cover are similar because the scale drawing has been formed by shrinking the cover. The scale factor is 1/11, centered at the origin. This means that the ratio of the sides of the actual cover to the corresponding sides of the image is constant and equivalent to 1/11. Therefore, the drawings are similar.