Question Write down the coordinates of the image of the point (2-3) under reflecting about the line joining the points (3, 5) and (3,7)

Answer: (4 , -3) Step-by-step explanation: the points (3 , 5) and (3 , 7) have the same x-coordinates 3 then ,the line D joining them has the equation D : x = 3 the image of the point A(2 , -3) under reflecting about The line D , lie on the line ∆ perpendicular to D and passes through A. ∆ perpendicular to D then the equation of ∆ is : ∆ : y = a ,where a is a real number. Calculating ‘a’ : ∆ passes through A Then -3 = a Therefore the final equation of ∆ is : ∆ : y = -3 Obviously, the lines D and ∆ intersect at the point M(3 , -3) FINAL STEP : Calculating the coordinates of the point B(x , y) image of the point A(2 , -3) M is the midpoint of the line segment AB : Then 3 = (2 + x)/2 and -3 = (-3 + y)/2 Then x = 4 and y = -3. Log in to Reply

Answer:Step-by-step explanation:Calculating ‘a’:FINAL STEP:Calculating the coordinates of the point B(x , y) image of the point A(2 , -3)