Question

80 POINTS + BRAINLIEST !!!!!!!!

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

Solution:

we are given that

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

And as we know the reflection of the point (x,y) across  the line y = x is the point (y, x).

Hence the new Traingle will be on the other side of the line y=x and position of x and y-coordinates of the vertices of the trangle gets interchanged.

Hence the Options that applies are:

C’ will move because all points move in a reflection.

The image and the pre-image will be congruent triangles. (Because reflection just changes the position of the trinagle not the property)

The image and pre-image will not have the same orientation because reflections flip figures.

Answer 2

Point C’ will move because all points move in a reflection.  The image and the pre-image will be congruent triangles