Question

Clayton needs to reflect the triangle below across the line y=x

Which statements about the reflection are true? Check all that apply.

Clayton could use the relationship (x,y) - (y,x) to find the points of the image.Clayton could negate both the x and y values in the points to find the points of the image.C’ will remain in the same location as C because it is on the line of reflection.C’ will move because all points move in a reflection.The image and the pre-image will be congruent triangles.The image and pre-image will not have the same orientation because reflections flip figures.

Answer 1

I would say the first option - "Clayton could use the relationship (x,y) - (y,x) to find the points of the image.", because in https://brainly.com/question/9700929 you can see that the (x,y) value for the blue triangle, is (y,x) for the orange triangle.

Answer 2

The relationship $(x,\;y)\rightarrow (y,\;x)$ used by Calton to find the points of the image.

Given:

Clayton needs to reflect the triangle below across the line $y=x$.

According to the question, A triangle ABC which have to reflected by the point $(x,\;y)\rightarrow (y,\;x)$ to get the image of the points.

In the most simple terms, the solution would be $y=x$ because of this line, which travels straight through the origin.

It is the only given line that passes through the center of the given reflection.

Now, the vertices of $\Delta ABC$ will be written as $A\rightarrow A',\;B\rightarrow B'\;\&;\;C\rightarrow C'$ and The image and the pre-image will be congruent triangles.

Therefore, Clayton could use the relationship $(x,\;y)\rightarrow (y,\;x)$ to find the points of the image.

Learn more about the reflection of the graph here:

https://brainly.com/question/1873328