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Shape Reflection Calculator Online

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The Shape Reflection Calculator is a valuable tool used in geometry to determine the coordinates of a reflected point across a given line of reflection. By inputting the coordinates of a point on the original shape and the coordinates of a point on the line of reflection, users can quickly calculate the corresponding coordinates of the reflected point. This calculator simplifies the process of reflection in two-dimensional space and is particularly useful in various fields such as mathematics, engineering, computer graphics, and more.

Formula of Shape Reflection Calculator

The Shape Reflection Calculator operates based on the following formula:

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Reflected_x = 2 * Line_x - Original_x Reflected_y = 2 * Line_y - Original_y

Where:

  • (Original_x, Original_y) are the coordinates of a point on the original shape.
  • (Reflected_x, Reflected_y) are the coordinates of the corresponding point on the reflected shape.
  • (Line_x, Line_y) are the coordinates of a point on the line of reflection.

General Terms and Definitions

To enhance usability, here are some general terms and definitions that users may find helpful:

TermDefinition
ReflectionA transformation in which a figure is flipped over a line, called the line of reflection.
CoordinatesPairs of numbers used to represent the location of a point in a coordinate plane.
Line of ReflectionThe line over which a figure is reflected.

Example of Shape Reflection Calculator

Let’s consider an example to demonstrate how the Shape Reflection Calculator works:

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Suppose we have a point with coordinates (4, 5) on a coordinate plane. We want to find the coordinates of its reflection across the line with coordinates (0, 0) and (1, 1).

Using the formula:

Reflected_x = 2 * 1 - 4 = -2 Reflected_y = 2 * 1 - 5 = -3

So, the reflected point is (-2, -3).

Most Common FAQs

What is a shape reflection?

A shape reflection is a transformation that creates a mirror image of a figure across a line, called the line of reflection.

How does the Calculator work?

The calculator uses the coordinates of a point on the original shape and a point on the line of reflection to determine the coordinates of the reflected point

Is the Shape Reflection Calculator accurate?

Yes, the calculator provides accurate results based on the input coordinates and the formula for reflection.

Can I use negative coordinates in the calculator?

Yes, the calculator accepts negative coordinates for both the original point and the line of reflection.

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