The answer is 1/2 in fraction form because 0.5 is half of 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)](https://tex.z-dn.net/?f=%28x%2C%20y%29%20%5Crightarrow%20%28x%20%2C%20-y%29)
![(-1, 1) \rightarrow (-1 , -1)](https://tex.z-dn.net/?f=%28-1%2C%201%29%20%5Crightarrow%20%28-1%20%2C%20-1%29)
![(-1, 4) \rightarrow (-1 , -4)](https://tex.z-dn.net/?f=%28-1%2C%204%29%20%5Crightarrow%20%28-1%20%2C%20-4%29)
![(-3, 1) \rightarrow (-3 , -1)](https://tex.z-dn.net/?f=%28-3%2C%201%29%20%5Crightarrow%20%28-3%20%2C%20-1%29)
![(-3, 4) \rightarrow (-3 , -4)](https://tex.z-dn.net/?f=%28-3%2C%204%29%20%5Crightarrow%20%28-3%20%2C%20-4%29)
Next, translate this 8 unit right which is given by:
![(x, y) \rightarrow (x+8 , y)](https://tex.z-dn.net/?f=%28x%2C%20y%29%20%5Crightarrow%20%28x%2B8%20%2C%20y%29)
![(-1, -1) \rightarrow (-1+8 , -1) =(7, -1)](https://tex.z-dn.net/?f=%28-1%2C%20-1%29%20%5Crightarrow%20%28-1%2B8%20%2C%20-1%29%20%3D%287%2C%20-1%29)
![(-1, -4) \rightarrow (-1+8 , -4) =(7, -4)](https://tex.z-dn.net/?f=%28-1%2C%20-4%29%20%5Crightarrow%20%28-1%2B8%20%2C%20-4%29%20%3D%287%2C%20-4%29)
![(-3, -1) \rightarrow (-3+8 , -1) =(5, -1)](https://tex.z-dn.net/?f=%28-3%2C%20-1%29%20%5Crightarrow%20%28-3%2B8%20%2C%20-1%29%20%3D%285%2C%20-1%29)
![(-3, -4) \rightarrow (-3+8 , -4) =(5, -4)](https://tex.z-dn.net/?f=%28-3%2C%20-4%29%20%5Crightarrow%20%28-3%2B8%20%2C%20-4%29%20%3D%285%2C%20-4%29)
⇒(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: left to right up to down no no yes no yes yes
Step-by-step explanation: hope it helps