Question

Which rule transforms quadrilateral ABCD to quadrilateral A'B'C'D'?

A. (x,y)---->(x,-y-4)
B. (x,y)---->(x+6,-y)
C. (x,y)---->(x+6,y-4)
D. (x,y)---->(-x,y-4)

Answer 1

The rule transforms the quadrilateral ABCD to quadrilateral A'B'C'D' is given by

D.(-x,y-4).

Explanation:

Given quadrilateral ABCD transform into new quadrilateral A'B'C'D.

The transformation is a special rule by which to determine the coordintae of image point of any coordinate of given point . The transformation can be rotation, reflection, dialtion etc.

In given figure of qudrilateral ABCD

Coordinate of A (-5,4)

Coordinate of B(0,1)

Coordinate of C (-4,0)

Coordinate of D (-6,2)

In II figure of quadrilateral A'B'C'D

Coordinate of A' (5,0)

Coordinate of B' (0,-3)

Coordinate of C' (4,-4)

Coordinate of D' (6,-2)

Then we can see that coordinate of A (-5,4) change into A' (5,0)

It means x change into -x and y change into y-4

Similarly in same way B (0,1) change into B'(0,-3)

C(-4,0) change into C'(4,-4) and D( -6,2) change into D'(6,-2)

Hence, the correct transformation (x,y) into (-x,y-4).