Question

Which rectangle if reflected over the x-axis and then translated 8 units right will result in rectangle E?

Answer 1

Answer:

Rectangle D is reflected over the x-axis and then translated 8 units right will result in rectangle E

Step-by-step explanation:

The coordinates of rectangle D are:

(-1, 1)

(-1, 4)

(-3, 1) and

(-3, 4)

The rule of reflection across x-axis is given by:

$(x, y) \rightarrow (x , -y)$

$(-1, 1) \rightarrow (-1 , -1)$

$(-1, 4) \rightarrow (-1 , -4)$

$(-3, 1) \rightarrow (-3 , -1)$

$(-3, 4) \rightarrow (-3 , -4)$

Next, translate this 8 unit right which is given by:

$(x, y) \rightarrow (x+8 , y)$

$(-1, -1) \rightarrow (-1+8 , -1) =(7, -1)$

$(-1, -4) \rightarrow (-1+8 , -4) =(7, -4)$

$(-3, -1) \rightarrow (-3+8 , -1) =(5, -1)$

$(-3, -4) \rightarrow (-3+8 , -4) =(5, -4)$

⇒(7, -1) , (5, -1) , (5, -4) and (7, -4) represents the coordinate of rectangle E.

Therefore, Rectangle D if reflected over the x-axis and then translated 8 units right will result in rectangle E

Answer 2

Answer:

The answer is D on UsaTestPrep