Answer :
Answer: B''
This is because point B' has x coordinate x = -2. This point is directly on the mirroring line, so it doesn't move when the reflection is applied.
We can write B' = B''
When A’B’C’ is reflected across the line x= -2 to from A”B”C”, vertex B” of A”B”C” will have the same coordinates as B’
What is reflection over a line?
- "It is a geometric transformation in which all the points of an object are reflected across the line called the line of reflection."
- "In a reflection, the reflected image has the same size and shape as the pre-image."
For given question,
A’B’C’ is reflected across the line x= -2 to form the A”B”C”
In a reflection over line a reflected image has the same distance from the reflection line as the original point, but is on the opposite side of the line.
Coordinates of triangle A’B’C’ are,
A’ = (-6, -2), B’ = (-2, -6), C’ = (-4, -2)
When A’B’C’ is reflected across the line x= -2 to form the A”B”C” then coordinates of the A”B”C” would be,
A” = (2, -2)
B” = (-2, -6)
C” = (0, -2)
This means, the coordinates of B’ = the coordinates of B”
Therefore, when A’B’C’ is reflected across the line x= -2 to from A”B”C”, vertex B” of A”B”C” will have the same coordinates as B’
Learn more about the reflection here:
https://brainly.com/question/15487308
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