Questions: Consider each figure and its image. Describe the transformation using the stated method. using coordinates using words using words using coordinates (x, y) → (y, x) reflection in the line y=-2 (x, y) → (-y, -x) reflection in the line x=-0.5

Consider each figure and its image. Describe the transformation using the stated method. using coordinates using words using words using coordinates (x, y) → (y, x) reflection in the line y=-2 (x, y) → (-y, -x) reflection in the line x=-0.5
Transcript text: Consider each figure and its image. Describe the transformation using the stated method. using coordinates using words using words using coordinates $(x, y) \rightarrow(y, x)$ reflection in the line $y=-2$ $(x, y) \rightarrow(-y,-x)$ reflection in the line $x=-0.5$
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Solution

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Solution Steps

Step 1: Analyze the first transformation (using coordinates)

The first transformation shows triangle ABC reflected across the line y=x. This swaps the x and y coordinates.

Step 2: Analyze the second transformation (using words)

The second transformation shows trapezoid DEFG reflected across the y-axis. This can be described as a reflection across the line x=0.

Step 3: Analyze the third transformation (using words)

The third transformation shows quadrilateral KLMN rotated 90 degrees clockwise about the origin.

Final Answer:

  1. $(x,y) \rightarrow (y,x)$
  2. Reflection across the line x=0.
  3. Rotation 90 degrees clockwise about the origin.
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