Question

point n(7, -8) is the image of point n(7, 8) under a reflection. what is the image of (-4, -10) under the same reflection?
a. (-4, 10)
b. (4, -10)
c. (4, 10)
d. (-4, -10)

Explanation:

Step1: Identify Reflection Axis

Point \( N(7, 8) \) reflects to \( N'(7, -8) \). The \( x \)-coordinate remains the same, and the \( y \)-coordinate changes sign. So, the reflection is over the \( x \)-axis. The rule for reflection over the \( x \)-axis is \( (x, y) \to (x, -y) \).

Step2: Apply Reflection to \((-4, -10)\)

Using the rule \( (x, y) \to (x, -y) \), substitute \( x = -4 \) and \( y = -10 \). Then, \( -y = -(-10) = 10 \). So the image is \( (-4, 10) \).

Answer:

A. \((-4, 10)\)