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Every point on a reflected figure is the same____________ from the line of reflection as itsoriginal point

Question

Every point on a reflected figure is the same ____________ from the line of reflection as its original point.

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Solution

The statement is completed as follows:

"Every point on a reflected figure is the same distance from the line of reflection as its original point."

Explanation:

In geometry, when a figure is reflected across a line (known as the line of reflection), each point of the figure transforms to a new position that maintains an equal distance from this line. This means that if you take any point P P in the original figure and its corresponding reflected point P P' in the reflected figure, the distance between point P P and the line of reflection is the same as the distance between point P P' and the line of reflection. This property is essential in understanding symmetry and transformations in geometry.

For instance, if point P P is located 3 units away from the line of reflection, point P P' will also be 3 units away on the opposite side of the line. This principle ensures that the reflected figure retains the same shape and size as the original figure, only differing in orientation based on the reflection across the specific line.

This property of reflection is foundational in various applications, including computer graphics, mathematics, and artistic design, illustrating the concept of symmetry across a reference line.

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