Question

Point UU is located at left parenthesis, 6, comma, 3, right parenthesis(6,3) on the coordinate plane. Point UU is reflected over the xx-axis to create point U, primeU
′
. Point U, primeU
′
is then reflected over the yy-axis to create point U, start superscript, prime, prime, end superscriptU
′′
. What ordered pair describes the location of U, start superscript, prime, prime, end superscript, question markU
′′
?

Answer 1

To find the location of point \( U'' \) after reflecting point \( UU(6, 3) \) over the x-axis and then over the y-axis, let's follow these steps:

1. **Reflect over the x-axis:**
- When a point \((x, y)\) is reflected over the x-axis, the new coordinates change to \((x, -y)\).
- For point \( UU(6, 3) \), the reflection over the x-axis gives us:
\[
U' = (6, -3)
\]

2. **Reflect over the y-axis:**
- When a point \((x, y)\) is reflected over the y-axis, the new coordinates change to \((-x, y)\).
- For point \( U'(6, -3) \), the reflection over the y-axis yields:
\[
U'' = (-6, -3)
\]

Thus, the ordered pair that describes the location of point \( U'' \) is \((-6, -3)\).