After reflecting a point (5, -7) across the X-axis, what is the resulting point?

Study for the Geometry Regents Exam. Enhance your skills with flashcards and multiple choice questions, including hints and explanations. Prepare thoroughly for your test!

To determine the resulting point after reflecting the point (5, -7) across the X-axis, it's essential to understand how reflection across the X-axis affects coordinates.

When a point is reflected across the X-axis, the x-coordinate remains unchanged, while the y-coordinate is inverted. This means that if the original point has coordinates (x, y), after reflection, the new point will have coordinates (x, -y).

In this case, the original point is (5, -7). Here, the x-coordinate is 5, which stays the same after reflection. The y-coordinate is -7, and when reflected across the X-axis, this y-coordinate becomes 7 (the negative sign is removed). Therefore, the resulting coordinates after the reflection are (5, 7).

This process confirms that the correct result of reflecting the point (5, -7) across the X-axis is indeed (5, 7).

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