Question

A quadrilateral is plotted on a coordinate plane. Each of the vertices of the quadrilateral undergoes the same transformation.Which transformation does not preserve the lengths of the sides of the quadrilateral?

Answer 1

Answer:Option B

Explanations :

(a) (x;y) →(x-3 ; -y+2 ) ; this preserves the lengths of the side, with a reflection across the x -axis .

(b) (x;y) →(2x +1 ; y-5 ); this does not preserve the length of sides, because the 2 multiply by x will change the length by factor of 2 .

(c) (x;y) → (-x+6 ;-y -8 ), preserves the lengths of sides, with reflection of y = -x .

(d) (x;y) →(-x -5 ; y+10 ) preserves the lenghts of the sides , with a reflection in the y -axis .