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How do you reflect over the y?
To reflect a point or a shape over the y-axis, you change the sign of the x-coordinate while keeping the y-coordinate the same. For example, if a point is located at (x, y), its reflection over the y-axis will be at (-x, y). This process effectively flips the shape or point horizontally across the y-axis.
How do you reflect across the x axis?
To reflect a point across the x-axis, you simply change the sign of its y-coordinate while keeping the x-coordinate the same. For example, if the original point is (x, y), the reflected point will be (x, -y). This transformation flips the point vertically over the x-axis.
How do you reflect a figure across the x-axis?
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.
Define slope of a line?
Rise/Run (The rise of the slope divided by the run of the slope.)
What are the coordinates of the image of the point (8-9) after a dilation by a scale factor of 5 origin as the dilation followed by a translation over the x-axis?
To find the image of the point (8, -9) after a dilation by a scale factor of 5 from the origin, we multiply each coordinate by 5. This gives us the new coordinates (8 * 5, -9 * 5) = (40, -45). If we then translate this point over the x-axis, we would change the y-coordinate to its opposite, resulting in the final coordinates (40, 45).
How do you reflect over the y?
To reflect a point or a shape over the y-axis, you change the sign of the x-coordinate while keeping the y-coordinate the same. For example, if a point is located at (x, y), its reflection over the y-axis will be at (-x, y). This process effectively flips the shape or point horizontally across the y-axis.
How do you reflect across the x axis?
To reflect a point across the x-axis, you simply change the sign of its y-coordinate while keeping the x-coordinate the same. For example, if the original point is (x, y), the reflected point will be (x, -y). This transformation flips the point vertically over the x-axis.
What is the rule for finding the reflection of a point over the axis?
For a reflection over the x axis, leave the x coordinate unchanged and change the sign of the y coordinate.For a reflection over the y axis, leave the y coordinate unchanged and change the sign of the x coordinate.
How do you reflect a figure across the x-axis?
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.
Define slope of a line?
Rise/Run (The rise of the slope divided by the run of the slope.)
Which sequence of transformations will result in an image that maps onto itself?
reflect across the x-axis and then reflect again over the x-axis
What are the coordinates of the image of the point (8-9) after a dilation by a scale factor of 5 origin as the dilation followed by a translation over the x-axis?
To find the image of the point (8, -9) after a dilation by a scale factor of 5 from the origin, we multiply each coordinate by 5. This gives us the new coordinates (8 * 5, -9 * 5) = (40, -45). If we then translate this point over the x-axis, we would change the y-coordinate to its opposite, resulting in the final coordinates (40, 45).
What is meant by slope in coordinate geometry?
Rise over run, generally change in y-coordinates divided by change in x-coordinates.
What coordinates will the point 3-2 reflected over the line yx have?
To reflect a point over the line ( y = x ), you swap its x-coordinate and y-coordinate. For the point ( (3, -2) ), the reflection over the line ( y = x ) results in the point ( (-2, 3) ). Therefore, the coordinates of the reflected point are ( (-2, 3) ).
How do you reflect over the x axis when a point is over the x axis already?
To reflect a point in the x axis, multiply it's y coordinate by -1. Example: (x, y) over the x axis is now (x, -y), If you come across the y already being a negative, then make it a positive, (x, -y) = (x, y). The x stays the same, and vice versa over the y axis. Hope I helped. I am also having trouble with this, though, What if there is a zero? (5,0), it can't be (5, -0) can it?
How did plumbing change its society of origin?
Improved the over all health of the nation
What is a transformation gives the same result as a rotation of 180 around the origin followed by a reflection over the y axis?
A transformation that yields the same result as a rotation of 180 degrees around the origin followed by a reflection over the y-axis is a reflection over the x-axis. When you rotate a point 180 degrees around the origin, its coordinates change to their negatives, and reflecting that result over the y-axis switches the sign of the x-coordinate again, effectively mirroring it across the x-axis. Thus, the combined effect is equivalent to just reflecting over the x-axis.
