Question:

The mirror image of the above text about the x-axis is 

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When creating a mirror image about the x-axis, each letter is flipped upside down, and the positions of the letters in the word are reversed.
  • \(\text{TIRANET}\)
  • \(\text{EGNIRAT}\)
  • \(\text{TIRANET}\)
  • \(\text{TIRANET}\)
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The Correct Option is B

Solution and Explanation

To understand the concept of a mirror image about the x-axis, we need to visualize the process. Let's break this down:

Step 1: Understanding the Mirror Image A mirror image about the x-axis involves flipping the object vertically, as if looking at it in a mirror placed along the x-axis. This means that the positions of any characters or elements that are above the x-axis will be reflected below it, and vice versa. In the case of the word "TRIANGLE" written in a standard upright position, the reflection about the x-axis will result in each letter being flipped vertically.

Step 2: Analyzing the Options - Option (A) suggests a general mirrored version of the word "TRIANGLE," but it doesn't specify the direction of the flip, and there is no indication that the mirror is along the x-axis.
- Option (B) correctly suggests that the mirror image is along the x-axis, which is exactly what the question asks. This option describes the correct transformation where each letter of the word "TRIANGLE" is flipped vertically around the x-axis, keeping the sequence of the letters intact.
- Option (C) and (D) similarly describe mirrored versions but fail to properly explain the vertical flip along the x-axis.

Step 3: Conclusion The correct answer is option (B), as it clearly describes the vertical flip along the x-axis, which matches the desired transformation for the mirror image of the text. In a vertical flip, the word "TRIANGLE" remains the same sequence of letters, but the positions of the letters are mirrored vertically. Thus, the correct answer is option (B).

Final Answer: (B)

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