Questions: Find the image of the quadrilateral to the right in a 180° clockwise rotation about D. Choose the correct figure of the rotation below.

Find the image of the quadrilateral to the right in a 180° clockwise rotation about D. Choose the correct figure of the rotation below.
Transcript text: Find the image of the quadrilateral to the right in a $180^{\circ}$ clockwise rotation about D. Choose the correct figure of the rotation below.
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Solution

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Solution Steps

Step 1: Identify the center of rotation

The center of rotation is point D.

Step 2: Understand the rotation

We need to rotate the quadrilateral 180° clockwise about point D.

Step 3: Determine the new positions of the vertices
  • Point D remains in the same position.
  • Point A, which is 3 units left and 2 units up from D, will move to 3 units right and 2 units down from D.
  • Point B, which is 5 units right and 2 units up from D, will move to 5 units left and 2 units down from D.
  • Point C, which is 3 units right and 2 units down from D, will move to 3 units left and 2 units up from D.
Step 4: Match the new positions with the given options
  • Option A: Incorrect, as the positions do not match the calculated new positions.
  • Option B: Incorrect, as the positions do not match the calculated new positions.
  • Option C: Correct, as the positions match the calculated new positions.

Final Answer

The correct figure of the rotation is Option C.

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