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State the image of the point (1,-5) after a reflection across the line x = 2.Blank 1:1Blank 2:

State the image of the point (1,-5) after a reflection across the line x = 2.Blank-example-1

1 Answer

5 votes

Answer;


(1,-5)\text{ }\Rightarrow\text{ (3,-5)}

Explanation;

Here, we want to reflect the point over the given line

We start by getting the distance from the point to the line

We can get this by drawing a staright line through the point

We can see that the point is just 1 unit away from the line

Now, the reflected point too will be the same 1 unit away

So, we proceed to add 1 to the x-value

At the end, we will be having x = 3 as the new x-point with the y-axis value of -5 still standing

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