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43 votes
43 votes
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

User Eric Carlson
by
2.7k points

1 Answer

18 votes
18 votes

Answer:

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):


image


image


image


image

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


image and
image


image means that a upward movement by (4 + 1) units will move ABCD completely in a quadrant;


image

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


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


image

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):


image


image


image


image

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


image


image means that a left movement by (8 + 1) units will move ABCD completely in a quadrant;


image

Hence, 9 units upward

(a) answers the question

Which transformation will move polygon ABCD completely into one quadrant? A) up 5 units-example-1
User Ketan Bhavsar
by
3.1k points