Question

describe the reflection that maps $overline{qr}$, with vertices $q(6, -4)$ and $r(-2, -4)$, onto itself. use decimals, if necessary. reflection in the line $x =$

Explanation:

Step1: Find the mid - point of the x - coordinates

The x - coordinates of points Q(6, - 4) and R(-2, - 4) are 6 and - 2. The formula for the mid - point of two numbers \(x_1\) and \(x_2\) is \(x=\frac{x_1 + x_2}{2}\). Here \(x_1 = 6\) and \(x_2=-2\).

$$x=\frac{6+( - 2)}{2}$$

Step2: Calculate the value of x

$$x=\frac{6 - 2}{2}=\frac{4}{2}=2$$

Answer:

2