3 Answers:
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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.
