the vertices of a figure are w(-2,3), Y(3,1), and z(-3,4). What are the vertices of the transformed image ofter a reflection over the x-axis?
can you plz explain to me, how to solove this
The reflection of a point about the x-axis means that if the point is above the x-axis, after the reflection, the point will be below the x-axis, at the same distance from it as before. I.e. the x-axis acts like a mirror.
For example, the point (5,4) reflected about the x-axis will be (5,-4).
Similarly, the point (-3,-2.5) reflected about the x-axis will be (-3, 2.5).
Plot the two points on a graph, before and after reflection, and you will see better.
In short, the reflection of a point (x,y) about the x-axis will be (x, -y).
Post you answer for a check if you wish.
w(2,-3) y(3, -1) z(3,-4)
You got the idea, but you have to watch out that the x-coordinate does not change when reflecting about the x-axis.
So the answer for Y is correct, and for W and Z, a minor correction will be required.
w(2,3)
The x-coordinate is the first number in the coordinate pair, and the y-coordinate is the second.
So the rule for reflection about the x-axis is (x,y) -> (x, -y)
So try again with w(-2,3) and z(-3,4).
Also, it doesn't matter to me if you are lavena or jessica or both, but it does matter if you are asking other questions. With a different name, I cannot make assumptions that you already know certain topics, and hence have to explain in more details than necessary. So please stick to one name.
We do not mind if the same person asks many questions, as long as the questions are not repetitive, and therefore not trying to get your own homework done by someone else.
To solve this problem, we need to understand the concept of reflection over the x-axis. When a figure is reflected over the x-axis, each point's y-coordinate is negated while the x-coordinate stays the same.
In this case, we are given the original vertices of the figure as follows:
Vertex W: (-2, 3)
Vertex Y: (3, 1)
Vertex Z: (-3, 4)
To find the vertices of the transformed image after a reflection over the x-axis, we need to negate the y-coordinates while keeping the x-coordinates intact.
Therefore, to reflect the points over the x-axis:
1. Negate the y-coordinate of each vertex.
- For vertex W: (-2, 3) -> (-2, -3)
- For vertex Y: (3, 1) -> (3, -1)
- For vertex Z: (-3, 4) -> (-3, -4)
The vertices of the transformed image after a reflection over the x-axis are:
W' (-2, -3)
Y' (3, -1)
Z' (-3, -4)