(-2,3) reflected over y = x is (3,-2)
(400,-2) reflected over y = x is (-2,400)
All you do is switch the ordered pair.
substitute x = y and y = -x Ex: y = x2 becomes -x = y2
You switch the x and y coordinates of the line. In other words, (x,y) ---> (y,x). I hope this helps! :)
the slope of the line is -2 over 1 or -2 because the equation is in slope intercept form. Where y=mx+b. M is refered to as the slope and b is the y intercept.
The slope is rise over run. If another line was parallel, the slope would be the same.
1/a = 1/b: cross multiplying gives a = b
substitute x = y and y = -x Ex: y = x2 becomes -x = y2
To reflect a point over the line ( y = x ), you swap the coordinates of the point. For example, if the original point is ( (a, b) ), its reflection over ( y = x ) will be ( (b, a) ). This process applies to any shape or set of points by reflecting each point individually.
You switch the x and y coordinates of the line. In other words, (x,y) ---> (y,x). I hope this helps! :)
x=y is the diagonal line which runs through 0,0 so all you have to do is reflect the triangle on the diagonal line. hop that helps :)
Reflecting a shape means creating a mirror image of the original shape by flipping it over a line called the reflection axis. This results in an image that is an exact copy of the original, but in the opposite direction. The reflection axis serves as the line of symmetry between the original shape and its reflection.
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.
You are referring to a special case of shape its called a line
It indicates a line such that a shape can be reflected over than line such that the image is similar to the original.
only if the mirror is flat
reflection
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.
No, the two lines are not perpendicular.