A triangle, \(\Delta ABC\), is reflected across the x-axis to have the image \(\Delta A'B'C'\) in the standard \((x,y)\) coordinate plane; thus, \(A\) reflects to \(A'\).

The coordinates of point \(A\) are \((c,d)\). What are the coordinates of point \(A'\)?

sorry fr being 7 years late, but the answer is option a! ;

Answered by izayahrai | 2024-06-24

The coordinates of point A' is (c, -d).
What is a reflection?
There are two ways of reflection .
Along x-axis:
(x, y) – (x, -y)
Along y -axis:
(x, y) - (-x, y)
We have,
A triangle, ΔABC, is reflected across the** x-axis** to have the image ΔA'B'C'.
Now,
A = (c, d)
Reflection across the** x-axis.**
This means,
(x, y) → (x, -y)
So,
(c, d) → (c, -d)
Thus,
(c, -d) is the coordinates of point A'.
Learn more about reflections here:
https://brainly.com/question/12463306
#SPJ1

Answered by swapnalimalwadeVT | 2024-06-24

The coordinates of point A', after reflecting point A(c,d) across the x-axis, are (c,-d). To reflect a point across the x-axis, you keep the x-coordinate the same and change the sign of the y-coordinate. Hence, (c,d) becomes (c,-d).
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Answered by swapnalimalwadeVT | 2024-09-03