Which rigid transformation does NOT result in reversed orientation of the original image?

1 answer:

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Reflection is a type of rigid transformation which will not result in reversed orientation because this transformation that uses a line that acts like a mirror, called the line of reflection, with an image reflected in the line.Orientation is not possible here.

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Eight friends decided to try white-water rafting on a nearby river. They rented four two-person rafts; one was yellow, one was g

stich3 [128]

Answer:

Leroy Sands & Walt Smith - green
Frank Cook & Phil Hawley - yellow
Paul O'Brien & Alan Wilson - blue
Henry Gladstone & Don Hughes - red

Step-by-step explanation:

First of all, it is convenient to choose the false statement.

We note that statements 7 (Alan is first) and 10 (Alan did not finish) are contradictory, so one of them must be false. Statement 5 has Henry & Hughes together, so is not consistent with statement 7 (Alan & Hughes). So, statement 7 is inconsistent with two other statements, thus must be the false one.

The attached table shows how we parsed the statements. An "O" signifies a combination that must occur; and "X" signifies one that cannot occur. We have used "-" to fill the spaces that are inconsistent with the locations of "O". The red letters are deduced from the others.

The first complete set we found was Henry & Hughes (Don & Gladstone) who were in the (red) capsized raft and did not finish. The second complete set we found was Phil & Cook (Frank & Hawley) who were in the (yellow) raft that finished second. We know Paul & Wilson (Alan & Partner) finished last, so Phil & Cook could not have been Paul and Wilson. Finally, O'Brien and Leroy were not on the same boat, so Paul must be Paul O'Brien and Leroy must be Leroy Sands.