Question

Which transformation will move polygon ABCD completely into one quadrant?

Answer 1

Answer:

A) up 5 units

Step-by-step 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