Question

Which rectangle if translated 12 units down and 7 units right will result in rectangle E?

A) Rectangle A
B) Rectangle B
C) Rectangle C
D) Rectangle D

Answer 1

The correct answer would be rectangle 'D'.

If we looked at rectangle 'E' and moved it to the left by 7 units (every unit = 1 square on the grid), we would arrive at a point. From then, we can move upwards 12 units and arrive at rectangle 'D'.

Answer 2

option D

Explanation:

translated 12 units down and 7 units right

(x,y)-> (x+7, y-12)

Lets pick a point on Rectangle A and apply the translation

(-11,4) -> (-11+7, 4-12) ->(-4, -8) That is not in our Rectangle E

Lets pick a point on Rectangle B and apply the translation

(-7,1) -> (-7+7, 1-12) ->(0, -11) That is not in our Rectangle E

Lets pick a point on Rectangle C and apply the translation

(-5,5) -> (-5+7, 5-12) ->(2, -7) That is not in our Rectangle E

Lets pick a point on Rectangle D and apply the translation

(-3,1) -> (-3+7, 1-12) ->(4, -11) That is in our Rectangle E

So option D is correct