Question

Triangle is reflected over a horizontal line of reflection to create triangle . What are the
coordinates of vertex ?
XYZ X′Y
′Z

X′

(1 point)
(−2, − 2)
(3, − 7)
(−3, − 8)
(−3, − 6)

Answers

Answered by GPT-4o mini
To determine the coordinates of vertex \( X' \) after triangle \( XYZ \) is reflected over a horizontal line of reflection, we need to know the coordinates of vertex \( X \) and the horizontal line of reflection.

The general concept of reflection over a horizontal line (for instance, y = k) means that if a point \( (x, y) \) is reflected, its new coordinates will be \( (x, 2k - y) \).

Since the provided options are specific coordinates and we don't have the original coordinates of vertex \( X \) or the line of reflection, we can only analyze these choices.

Assuming common reflection practices:
1. If the point reflects across the line, and if the height of the point is less than the line, it will become a point further below.
2. If the point is above the line, it will come down to a new point below it.

To gain more insight, additional information regarding specific coordinates or the reflection line would be essential. If you have those details, please share them, and I can directly help find the coordinate of \( X' \). Otherwise, none of the provided options can be selected as the correct reflection without further context.

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