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?

Question

anonymous · Answer

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anonymous · Answer

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.

directrix · Answer

If the design and the cover are similar quadrilaterals, then corresponding angles must be congruent and corresponding sides must be in proportion.

directrix · Answer

The cover is rectangular which means right angles and corresponding angles are congruent.

The remaining question is whether the corresponding sides are proportional.

directrix · Answer

Determine if this is true and you will know if the corresponding sides are in proportion:

Is 22/2 = 44/4 = 22/2 = 44/4 ?

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