Question

Quadrilateral ABCD underwent a sequence of transformations to give quadrilateral A′B′C′D′. Which transformations could have taken place?


A.

a reflection across the x-axis followed by a reflection across the y-axis


B.

a translation 10 units down followed by a translation 8 units to the right


C.

a rotation 90° counterclockwise about the origin followed by a reflection across the y-axis


D.

a reflection across the line y = x followed by a reflection across the line y = -x

Answer 1

Answer:

a translation 10 units down followed by a translation 8 units to the right

Step-by-step explanation:

B) a translation 10 units down followed by a translation 8 units to the right

         A             B           C             D

x        -6            -6          -2            -4

y         4             6            6              4

10 units down

=> y will be Down by 10

8 units to the right

=> x will be added 8

          A'            B'          C'            D'

x        -6+8       -6+8       -2+8       -4+8

y         4-10       6-10       6-10        4-10

          A'            B'          C'            D'

x         2             2             6            4

y         -6            -4           -4           -6

Exactly as given

Hence a translation 10 units down followed by a translation 8 units to the right