Question

Find the reflection of the point P(-1, 3) in the line x = 2.​

Answer 1

Answer:

Step-by-step explanation:

You really need to draw this out to get a real feel for the answer and what is happening.

Think of y=2 as a horizontal mirror line. Cutting through the y-axis at 2.

The point (3,-1) will reflect from below the x-axis over the mirror line and end up, above it, keeping the x-coordinate of 3.

The y-coordinate needs some working out , how far is it from the mirror line? 3 units up. So the reflected point needs to be 3 units above the mirror line. The y-coordinate of the mirror line is 2. so 3 up from that is 5.

Answer 2

Answer: The reflection of the point P(-1, 3) in line x = 2 is (5,3)

Step-by-step explanation:

TIP

• The distance on the reflected side will be the same as that of the original side.

Step 1 of 1:

• The given point is P(-1, 3)
• The reflection is to be taken on line x=2
• Draw the line x=2 on the graph.
• Draw the point P on the graph.
• Note the distance in the x-direction of the point P from the line x= 2. The distance of P point in x-direction is 2-(-1)=3
• Take the same distance i.e.3 on the opposite side of line X=2. Therefore the x coordinate of the reflected point is (-1+3+3)=5
• The $y$ coordinate of the point will not change as the distance from the y= 0 is 3.

Conclusion:

The reflection of the point P(-1, 3) in line x = 2 is (5,3)