Answer:
Clayton could use the relationship (x,y) - (y,x) to find the points of the image.
C’ will remain in the same location as C because it is on the line of 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
Step-by-step explanation:
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.
Solution:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
Reflection is the flipping of a figure over a line. If a point A(x, y) is reflected over the line y=x, the new location is A'(y, x).
If the triangle ABC with vertices A(5.5, 7), B(6, 2), C(4, 4) is reflected over the line y=x, the new location would be A'(7, 5.5), B'(2, 6) and C'(4, 4).
A. Clayton could use the relationship (x,y) - (y,x) to find the points of the image. Reflection across the line y = x is the swapping of the x and y coordinates. Option A is correct
B. Clayton could negate both the x and y values in the points to find the points of the image. Option B is wrong
C. C’ will remain in the same location as C because it is on the line of reflection. C is on the line of reflection, hence it remains the same. Option C is correct.
D. C’ will move because all points move in a reflection.
Option D is wrong.
E. The image and the pre-image will be congruent triangles.
Option E is correct. Reflection preserves the shape and length of an object.
F. The image and pre-image will not have the same orientation because reflections flip figures. Option F is correct
