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Subject - Mathematics:

General

MCQ - 86-8818

Question:

If a rectangle has the coordinate values, \(\displaystyle (a,b)\), \(\displaystyle (c,b)\), \(\displaystyle (a,d)\), and \(\displaystyle (c,d)\) and after a transformation results in the coordinates \(\displaystyle (a,-b)\), \(\displaystyle (c, -b)\), \(\displaystyle (a,-d)\), and \(\displaystyle (c,-d)\) identify the transformation.

  1. Non of the others
  2. Reflection
  3. Rotations
  4. Reflection

Correct Answer: B

Explanation:

"If a rectangle has the coordinate values, \(\displaystyle (a,b)\), \(\displaystyle (c,b)\), \(\displaystyle (a,d)\), and \(\displaystyle (c,d)\) and after a transformation results in the coordinates \(\displaystyle (a,-b)\), \(\displaystyle (c, -b)\), \(\displaystyle (a,-d)\), and \(\displaystyle (c,-d)\) identify the transformation."
A transformation that changes the \(\displaystyle y\) values by multiplying them by negative one is known as a reflection across the \(\displaystyle x\)-axis or the line \(\displaystyle y=0\)
Therefore, this particular rectangle is being reflected across the \(\displaystyle x\)-axis because the opposite of all the \(\displaystyle y\) values have been taken.

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