A company is looking to design a new cover for its smartphone. The scale drawing of the design is shown below. The coordinates of the actual cover are: W' (6, 0); X' (0, 0); Y' (0, 12); Z' (6,12). Is the design of the cover similar to the actual cover? (5 points)

Rectangle WXYZ is shown. Point W is at 2,0. X is at 0,0. Y is at 0,3. Z is at 2,3.

Select one:
a. Yes; the corresponding sides are proportional.
b. No; the corresponding sides are not proportional.
c. Yes; the corresponding angles are proportional.
d. No; the corresponding angles are not proportional.

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Answer:

Correct choice is B

Step-by-step explanation:

In rectangle WXYZ,

  • WX=2 units;
  • XY=3 units;
  • YZ=2 units;
  • WZ=3 units.

In ractangle W'X'Y'Z',

  • W'X'=6 units;
  • X'Y'=12 units;
  • Y'Z'=6 units;
  • W'Z'=12 units.

Since [tex]\dfrac{2}{6}\neq \dfrac{3}{12},[/tex] rectangles WXYZ and W'X'Y'Z' are not similar. The answer is no, because the corresponding sides are not proportional.

Answer:

The answer is B

Step-by-step explanation: