When you reflect a figure across the x-axis, the x-coordinates of the points remain the same, while the y-coordinates change sign. This means that if a point is at (x, y), its reflection across the x-axis will be at (x, -y).
To reflect a figure across the x-axis, you take each point of the figure and change its y-coordinate to its negative value while keeping the x-coordinate the same. For example, if a point is located at (x, y), its reflection across the x-axis will be at (x, -y). This process effectively flips the figure over the x-axis, creating a mirror image.
When you reflect a figure, you essentially create a mirror image of it across a specific line, known as the line of reflection. This process does not involve flipping the figure in a traditional sense but rather repositioning it so that corresponding points are equidistant from the line of reflection. The orientation of the figure is reversed, much like how an image appears in a mirror. Thus, the result is a symmetrical counterpart to the original figure.
To flip a figure across the x-axis, you need to take each point of the figure and change its y-coordinate to its opposite sign. For example, if a point is at (x, y), after flipping it across the x-axis, it will be at (x, -y). This transformation effectively mirrors the figure over the x-axis, resulting in a new position below the original figure.
A transformation is when a figure moves across the x or y axis on a grid.
In mathematical terms, "reflect" refers to the process of flipping a shape or figure over a specific line, known as the line of reflection, to create a mirror image. This transformation alters the orientation of the figure while maintaining its size and shape. In coordinate geometry, reflecting a point across a line involves changing its coordinates based on the line's equation. For example, reflecting a point across the x-axis changes its y-coordinate to its negative.
To reflect a figure across the x-axis, you take each point of the figure and change its y-coordinate to its negative value while keeping the x-coordinate the same. For example, if a point is located at (x, y), its reflection across the x-axis will be at (x, -y). This process effectively flips the figure over the x-axis, creating a mirror image.
the difference is that in translation you slide the figure and in reflection you reflect the figure across the reflection line :)
Replace each point with coordinates (x, y) by (-x, y).
When you reflect a figure, you essentially create a mirror image of it across a specific line, known as the line of reflection. This process does not involve flipping the figure in a traditional sense but rather repositioning it so that corresponding points are equidistant from the line of reflection. The orientation of the figure is reversed, much like how an image appears in a mirror. Thus, the result is a symmetrical counterpart to the original figure.
To flip a figure across the x-axis, you need to take each point of the figure and change its y-coordinate to its opposite sign. For example, if a point is at (x, y), after flipping it across the x-axis, it will be at (x, -y). This transformation effectively mirrors the figure over the x-axis, resulting in a new position below the original figure.
A transformation is when a figure moves across the x or y axis on a grid.
In mathematical terms, "reflect" refers to the process of flipping a shape or figure over a specific line, known as the line of reflection, to create a mirror image. This transformation alters the orientation of the figure while maintaining its size and shape. In coordinate geometry, reflecting a point across a line involves changing its coordinates based on the line's equation. For example, reflecting a point across the x-axis changes its y-coordinate to its negative.
a figure that has a line drawn horizontally across the figure
Its like flipping it's a reflection
It is a line of symmetry
only if the mirror is flat
If the circle is five feet across - that is the diameter.