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If ABC is reflected over the y-axis, which ordered pair would represent the coordinates for A’ ?

  (4, −3)

  (3, −4)

  (−4, 3)

  (−3, 4)



In the given graph, we can observe that point \( A \) has the coordinates \( (3, 4) \).

To find the coordinates of the point \( A' \) after reflecting over the \( y \)-axis, we need to change the sign of the \( x \)-coordinate while keeping the \( y \)-coordinate the same.

So the reflection of point \( A(3, 4) \) over the \( y \)-axis will give us:
\[
A'( -3, 4)
\]

Thus, the correct ordered pair for \( A' \) is \( (-3, 4) \).

The correct answer is:
**(−3, 4)**

Would you like further details on this reflection, or have any other questions?

Here are five related questions to expand your understanding:
1. What are the coordinates of point \( B \) and \( C \) after reflecting over the \( y \)-axis?
2. How would the coordinates change if we reflected \( A \) over the \( x \)-axis instead?
3. Can you describe the general rule for reflecting a point over the \( x \)-axis?
4. What are the properties of reflections over the coordinate axes?
5. How would you reflect a point over the line \( y = x \)?

**Tip:** When reflecting a point over the \( y \)-axis, only the \( x \)-coordinate changes sign, while the \( y \)-coordinate remains unchanged.

If ABC is reflected over the y-axis, which ordered pair would represent the coordinates for A’ ? (4, −3), (3, −4), (−4, 3), (−3, 4)

Learn how to reflect triangle ABC over the y-axis, focusing on point A. This problem covers key concepts in coordinate geometry, including the formula for reflecting points across the y-axis. Suitable for students in Grades 7-9.

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