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Sagot :
C. A reflection across the x-axis followed by a translation of 1 unit right and 1 unit down
Preimage Points are:
A(-4,1) B(-6,5) C(-1,2)
Image points are:
D(-2, 3) E(-5, -6) F(0, -3).
What is reflection:
A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another. The reflected image should be the same size and shape as the original, but it faces the opposite way. Changes in position during reflection may also result in translation. Pre-image and image are terms used to refer to the same thing in this context.
So in our Questions reflection across the x axis will negate the y coordinate of each point this will map
A(-4, 1)→(-4, -1)
B(-6, 5)→(-6, -5)
C(-1, 2)→(-1, -2)
We can see that each x-coordinate is 1 lower and each y-coordinate is 1 higher than the image points by comparing these points to the points in DEF. This means that we should translate 1 unit to the right and 1 unit to the bottom to subtract 1 from each x-coordinate and 1 from each y-coordinate.
Given Question is incomplete complete question here?
What series of transformations from △ABC to △DEF shows that △ABC≅△DEF ?
A . a reflection across the y-axis followed by a translation of 1 unit right and 2 units up
B . a clockwise rotation of 90° about the origin followed by a translation of 4 units right and 4 units up
C. a reflection across the x-axis followed by a translation of 1 unit right and 1 unit down
D . a reflection across the line y = x followed by a positive rotation of 270° about the center
To know more about reflection here
https://brainly.com/question/27848014
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