Here triangle is reflected about x - axis. If this triangle is reflected about x-axis, what will be the new vertices A', B' and C'?įirst we have to know the correct rule that we have to apply in this problem. Let A ( -2, 1), B (2, 4) and (4, 2) be the three vertices of a triangle. Volume is an example of how we can use coordinate geometry in three dimensions. The point that is plotted has coordinates (1,3). We can still plot points on it, starting with movement up or down along the x-axis to the x-coordinate of each ordered pair. The coordinates of a point are referred as (x, y), where x represents the position of the point with reference to the x-axis, and y represents the position of the point with reference to the y-axis.
What does the plane z equals x look like It intersects the x-y plane along the y-axis, and is at 45 angle to the x-y plane. The coordinates (x, y, z) represent a point in three-dimensional space found by moving x units along the horizontal axis, y units along the vertical axis, and z units along a third axis. The horizontal line labeled x is called the x-axis and the vertical line labeled y is called the y-axis. X and Y Coordinates help in identifying a point in the coordinate axes and are written as the ordered pair (x, y). Let us consider the following example to have better understanding of reflection. The y-axis is vertical and the x-axis is horizontal. The position of a point in a 2D rectangular coordinate system is written as an ordered pair of numbers: (x, y). The y-axis is used to describe the vertical position of a point.
A coordinate plane can be used to describe the position of points in space. In the three-dimensional coordinate system, in addition to the usual x and y- axes there is a third, the z-axis, that goes in and out of the screen at right. Here the rule we have applied is (x, y) -> (x, -y). The other number line in a 2D rectangular coordinate system is the x-axis. Once students understand the rules which they have to apply for reflection transformation, they can easily make reflection -transformation of a figure.įor example, if we are going to make reflection transformation of the point (2,3) about x-axis, after transformation, the point would be (2,-3).
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