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please please help <3

A square of perimeter 8 undergoes different rigid transformations. Select all the characteristics of the resulting Image that apply:

•Its perimeter is 8
•Its perimeter is 4
•It is congruent with the preimage.
•Its area is 16
•Its area is 4
•Its side is 4

Sagot :

3 Answers:

  • Choice A
  • Choice C
  • Choice E

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Explanation:

The term "rigid transformations" is the same as "isometries".

The three types of such transformations are:

  • translation (aka shifting)
  • rotation
  • reflection

Doing any of these will keep the same area, perimeter, size, distance, etc. The figure will not change. Only its position will, or its orientation.

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Since the perimeter doesn't change, it stays at 8. Therefore, choice A is one of the answers. This rules out choice B.

Choice C is another answer because the figure is identical to its preimage counterpart.

If the perimeter of the square is 8, then its side length would be s = P/4 = 8/4 = 2 units. That leads to an area of s^2 = 2^2 = 4 square units. This points to choice E being another answer and it rules out choice D.

Choice F is false because the side length is 2 units, not 4 units. Also note how P = 4s = 4*4 = 16 would be the perimeter for a square of side length 4.

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