Question

The midpoint of the straight line joining A and A' in the diagram below has coordinates (n, 5). a) Calculate the value of n. b) Using your answer to part a), work out the equation of the line of reflection that maps one shape onto the other.​

Answer 1

The value of n is 1

The equation of the line of reflection is x = 1

How to find the coordinate of the midpoint

To find the coordinates of the midpoint M between points A (-3, 5) and B(5, 5), you can use the midpoint formula.

The midpoint formula is given by:

M = { (x₁ + x₂)/2, (y₁ + y₂)/2 }

M = ( (-3 + 5)/2, (5 + 5)/2 )

M = ( (2)/2, (10)/2 )

M = (1, 5)

Therefore, the coordinates of the midpoint M between points A and A' is (1, 5). And the value of n is 1

The line of the reflection is the x coordinates of the midpoint hence we have x = 1