AB is reflected to form A'B'. The coordinates of point A are (0,2) and the coordinates of point B are (2,5). Which reflection results in the transformation of AB to A'B'?

The correct answer is 3 x + 2 y = 10.

Step-by-step explanation:

Let us find the midpoint of the given two points (0,2) and (2,5).

The midpoint is given by .

Let us find the equation of the line passing through the two given points (0,2) and (2,5). We use the formula where m is the slope of the line and () is any point on the line.

Thus the required line is given by

The line perpendicular to this line would give us the line of reflection.

So the equation of the line of reflection is ( A line perpendicular to is given by )

The midpoint () should pass through the line of reflection.

Thus this gives the value of k = 10.

So the required line of reflection is given by

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step-by-step explanation: