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: R' (12, 0); S' (0, 0); T' (0, 16); U' (12, 16). Is the design of the cover similar to the actual cover?Rectangle RSTU is shown. Point R is at 3,0. S is at 0,0. T is at 0,4. U is at 3,4. Yes; the corresponding sides are proportional. No; the corresponding sides are not proportional. Yes; the corresponding angles are proportional. No; the corresponding angles are not proportional.

The vertices of the current cover are:
 R '(12, 0); S '(0, 0); T '(0, 16); U '(12, 16)
 The vertices of the design are:
 R (3, 0); S (0, 0); T (0, 4); U (3, 4)
 We then have the following relationship:
 ((1/4) x ', ((1/4) y') -----> (x, y)
 Equivalently:
 (1/4) R '= R
 (1/4) S '= S
 (1/4) T '= T
 (1/4) U '= U
 Therefore, the points are proportional and the proportionality constant is:
 k = 1/4
 Answer:
 Yes; the corresponding sides are proportional.