Mathematics
Grade-8
Easy

Question

Describe the combination of transformation for the following figure which is congruent.

  1. Reflection across the line x = 2, translation 2 units left and 3 units down, rotation 90 degrees clockwise about the origin.
  2. Reflection across the line x= -2, translation 2 units left and 2 units down, rotation 90 degrees counter clockwise about the origin.
  3. Reflection across the line x=2, and translation of 1 unit down and 2 units left rotation 90 degrees clockwise about the origin.
  4. Reflection across the y-axis and translation of 1 unit down, and 2 units left and rotation 90 degrees clockwise about the origin.

hintHint:

we have to eliminate the option, by seeing reflection about x=2 line , then we have to see translation( that's mean sliding of the image)

The correct answer is: Reflection across the line x = 2, translation 2 units left and 3 units down, rotation 90 degrees clockwise about the origin.


    Reflection across the line x = 2, translation 2 units left and 3 units down, rotation 90 degrees clockwise about the origin.
    image 1 is obtained by flipping the preimage with respect to the line x=2.
    Image 2 is obtained by moving the image 2 by 2 units to the left and 3 units down.
    Image 3 is obtained by rotating the image 2 by 90° from the Origin.

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