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Subject - Mathematics:

General

MCQ - 88-8820

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 \(\displaystyle (a,b+2)\), \(\displaystyle (c, b+2)\), \(\displaystyle (a,d+2)\), and \(\displaystyle (c,d+2)\) identify the transformation.

  1. Rotation
  2. Dilation
  3. Translation
  4. Dilation

Correct Answer: C

Explanation:

To identify the transformation that is occurring in this particular problem, recall the different transformations.
Translation: To move an object from its original position a certain distance without changing the object in any other way.
Transformation: Refers to any of the four changes that can be done to an object geographically. Transformations include, reflections, translations, rotations, and resizing the object.
Reflection: To flip the orientation of an object over a specific line or function.
Rotation: To rotate an object either clockwise or counter clockwise around a center point.
Looking at the starting and ending coordinates of the rectangle,
\(\displaystyle (a,b)\), \(\displaystyle (c,b)\), \(\displaystyle (a,d)\), and \(\displaystyle (c,d)\) to \(\displaystyle (a,b+2)\), \(\displaystyle (c, b+2)\), \(\displaystyle (a,d+2)\), and \(\displaystyle (c,d+2)\)
Since all the \(\displaystyle y\) coordinates are increasing by two this is known as a translation.

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Read the MCQ statement: If a rectangle has the coordinate values, \(\displaystyle (a,b)\), \(\displaystyle (c,b)\), \(\displaystyle (a,d)\), and \(\displaystyle (c,d)\) and a .... the transformation., keenly and apply the method you have learn through the video lessons for General to give the answer. Record your answer and check its correct answer and video explanation for MCQ No. 88-8820.

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