Math Problem Statement

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)

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)

Solution

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

To find the coordinates of the point AA' after reflecting over the yy-axis, we need to change the sign of the xx-coordinate while keeping the yy-coordinate the same.

So the reflection of point A(3,4)A(3, 4) over the yy-axis will give us: A(3,4)A'( -3, 4)

Thus, the correct ordered pair for AA' is (3,4)(-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 BB and CC after reflecting over the yy-axis?
  2. How would the coordinates change if we reflected AA over the xx-axis instead?
  3. Can you describe the general rule for reflecting a point over the xx-axis?
  4. What are the properties of reflections over the coordinate axes?
  5. How would you reflect a point over the line y=xy = x?

Tip: When reflecting a point over the yy-axis, only the xx-coordinate changes sign, while the yy-coordinate remains unchanged.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Reflections over Axes

Formulas

Reflection over the y-axis: (x, y) → (-x, y)

Theorems

Reflection Theorem

Suitable Grade Level

Grades 7-9