Rectangle LMNO has vertices L (–4, 6), M (–1, 6), N (–1, 2), and O (–4, 2). Suppose you reflect this rectangle across the x-axis, and then translate it up two units. What are the corresponding vertices of L′′M′′ N′′O′′? Question 11 options: A) L′′ (–4, –4), M′′ (–1, –4), N′′ (–1, 0), O′′ (–4, 0) B) L′′ (4, –4), M′′ (1, –4), N′′ (1, 0), O′′ (4, 0) C) L′′ (–4, 8), M′′ (–1, 8), N′′ (–1, 4), O′′ (–4, 4) D) L′′ (–4, –8), M′′ (–1, –8), N′′ (–1, –4), O′′ (–4, –4)

The correct option is:

A) L'' (-4 , -4) , M'' (-1 , -4) , N'' ( -1 , 0) , O'' (-4 , 0)

Step-by-step explanation:

The following are the vertices of a rectangle LMNO

L (-4 , 6)

M (-1 , 6)

N (-1 , 2)

O (-4 , 2)

First we have to reflect it across x-axis

When we reflect a shape across x-axis, the x components of the points remain the same while y components change their signs. After reflection:

L' (-4 , -6)

M' (-1 , -6)

N' ( -1 , -2)

O' (-4 , -2)

After we translate it up by two units, we add +2 to y components of each reflected point.

L'' (-4 , -4)

M'' (-1 , -4)

N'' ( -1 , 0)

O'' (-4 , 0)

Hence, the correct option is A

c

step-by-step explanation: