Math Problem Statement

If Kite ABCD is reflected across the x-axis, what are the resulting coordinates of point A?

Solution

To solve this question, we need to reflect the kite ABCD across the x-axis and find the new coordinates of point A.

  1. From the image, point A is located at coordinates (-1, -3).

  2. When reflecting a point across the x-axis, the x-coordinate stays the same, but the y-coordinate changes sign (flips). So the reflection of a point (x,y)(x, y) across the x-axis is (x,y)(x, -y).

  3. Applying this to point A, (1,3)(-1, -3) becomes (1,3)(-1, 3).

Thus, the new coordinates of point A after reflection across the x-axis are (1,3)(-1, 3).

The correct answer is option E: (-1, 3).

Would you like further details or have any questions?

Here are 5 related questions for more practice:

  1. What are the resulting coordinates of point B after reflection across the x-axis?
  2. What transformation reflects points across the y-axis?
  3. How do you determine the reflection of a point across the origin?
  4. How would the kite look if reflected across the y-axis instead?
  5. What would be the new coordinates of point D after reflecting across the x-axis?

Tip: To reflect a point across the x-axis, remember to flip the sign of the y-coordinate, while the x-coordinate remains unchanged.

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Math Problem Analysis

Mathematical Concepts

Reflection
Coordinates
Symmetry

Formulas

Reflection across x-axis: (x, y) → (x, -y)

Theorems

Reflection theorem: Points reflected across the x-axis have the same x-coordinates and opposite y-coordinates

Suitable Grade Level

Grades 6-8