Question

Which set of transformations will map ligure PQRS onto figure TUVW? 9 Q R S7 6 6 4 2 P 1 -9 -8 -7 -6 -5 -4 -3 -2 . 2 3 4 5 6 7 8 9 -1 -2 T 3 -5 -6 -7 -8 -9 W O a reflection over the y-axis, and then a reflection over the .r-axis a translation of 1 unit to the right, and then a rotation of 180° about the origin O a reflection over the y-axis, and then a 270° counterclockwise rotation about the origin a translation of 1 unit up and 8 units to the right, and then a reflection over the .r-axis

Answer 1

The coordinates of point P is (-4 , 2) and the coordinates of point T is (4 , -3)

So, we will check which translation is true:

1) reflection over y axis then reflection over x axis

so, (-4,2) to (4,2) then (4, -2)

This option is wrong

2) translation 1 unit to the right then rotation 180 degrees

so, (-4, 2) to (-3, 2) then (3, -2)

This option is wrong

3) reflection over y axis then rotation 270 conterclockwise

So, (-4,2) to (4,2) then (-2, 4)

This option is wrong

4) translation 1 unit up, 8 units to the right then reflection over x-axis

(-4,2) to (-4, 3) to (4, 3) then (4, -3) which is equal to the point T

This option is true

So, the answer is the last option