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)
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Answer:(4 , -3)Step-by-step explanation:the points (3 , 5) and (3 , 7) have the same x-coordinates 3then ,the line D joining them has the equationD : x = 3the 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 AThen-3 = aThereforethe final equation of ∆ is :∆ : y = -3Obviously, 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 :Then3 = (2 + x)/2 and -3 = (-3 + y)/2Thenx = 4 and y = -3.