Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

if p = (4,2), find: rx=3 (p) (?, )

Question

if p = (4,2), find: rx=3 (p) (?, )

Explanation:

Step1: Calculate the x - coordinate of the reflected point

The formula for reflecting a point \((x,y)\) over the line \(x = a\) is \((2a - x,y)\). Here \(a = 3\) and \(x = 4\).

$$2\times3-4=6 - 4=2$$

Step2: Determine the y - coordinate of the reflected point

The y - coordinate remains the same during a reflection over a vertical line \(x = a\). Given \(y = 2\), it stays \(2\).

Answer:

\((2,2)\)