itik A (3, -5) ditranslasi oleh T(-3/5) akan menghasilkan bayangan A' =

Untuk menghitung bayangan titik \( A(3, -5) \) yang ditranslasi oleh vektor translasi \( T(-3, 5) \), kita tambahkan komponen-komponen translasi tersebut ke koordinat titik \( A \).

\[
A'(x', y') = A(x + T_x, y + T_y)
\]

Dengan \( A(3, -5) \) dan \( T(-3, 5) \):

\[
x' = 3 + (-3) = 0
\]
\[
y' = -5 + 5 = 0
\]

Jadi, bayangan titik \( A \) setelah translasi adalah:

\[
A'(0, 0)
\]

Bayangan titik \( A' \) adalah \( (0, 0) \).

Do you need more details or have any questions?

Here are 5 related questions to explore:
1. What is the general formula for translating a point in a coordinate plane?
2. How would the translation change if the vector was \( T(3, -5) \) instead?
3. What happens if you apply multiple translations to the same point?
4. Can a translation ever change the size of a geometric figure?
5. How do translations differ from other transformations like rotations or reflections?

**Tip:** When translating a point, always remember that translations only shift the position without altering the shape or orientation of a figure.

Learn how to find the image of point A(3, -5) after a translation by vector T(-3, 5). This detailed solution explains how to apply the translation formula in a coordinate plane. Suitable for students in Grades 6-8.

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