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OLga [1]
3 years ago
12

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: W' (6, 0); X' (0, 0); Y' (0, 12); Z' (6,12). Is the design of the cover similar to the actual cover?

Mathematics
2 answers:
Galina-37 [17]3 years ago
8 0
No; the corresponding sides are not proportional.
S_A_V [24]3 years ago
3 0

Answer: Not similar

Step-by-step explanation:

From the given graph, by using distance formula

For figure WXYZ with coordinates W(2,0), X(0,0), Y(0,3) and Z(2,3)

Since, YX is on y axis, then length of YX=|3-0|=3\ units

Similarly, WX is on x axis, then length of WX=|2-0|=2

Now, for W'X'Y'Z' with coordinates W' (6, 0); X' (0, 0); Y' (0, 12); Z' (6,12), the length of W'X'=\sqrt{(6-0)^2+(0)^2}=6\ units

The length of Y'X'=\sqrt{(0)^2+(0-12)^2}=12\ units

We know that if two figures are similar then their corresponding sides are proportional.

Now, \frac{YX}{Y'X'}=\frac{3}{12}=\frac{1}{4}

\frac{WX}{W'X'}=\frac{2}{6}=\frac{1}{3}

But, \frac{1}{4}\neq\frac{1}{3},

Hence they are not proportional so they are not similar.

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