Question

Which transformation will move polygon ABCD completely into one quadrant?

A) up 5 units

B) down 5 units

C) left three units

D) reflect over the x-axis

Answer 1

A) up 5 units

Explanation:

Given

See attachment for grid

Required

Which places ABCD in a quadrant

Considering vertical movements

From the x-axis, the distance between each point and the line of the x-axis is (the y coordinates):

`A = -4`

`B =3`

`C = 7`

`D = -2`

Considering the highest magnitudes in the positive and negative column, we have:

`A = -4` and
`C = 7`

`A = -4` means that a upward movement by (4 + 1) units will move ABCD completely in a quadrant;

`4 + 1 = 5`

Hence, 5 units upward -- This represents option (a)

`C = 7` means that a downward movement by (7 + 1) units will move ABCD completely in a quadrant

`7 + 1 = 8`

Hence, 8 units downward

Consider horizontal movements

From the y-axis, the distance between each point and the line of the x-axis is (the x coordinates):

`A = -8`

`B = -6`

`C = -3`

`D =-2`

Considering the highest magnitudes in the positive and negative column, we have:

`A = -8`

`A = -8` means that a left movement by (8 + 1) units will move ABCD completely in a quadrant;

`8 +1 = 9`

Hence, 9 units upward

(a) answers the question