Answer: 
reflect over y-axis and then translate 1 unit up 
hope this helped
        
             
        
        
        
Answer:
True
Step-by-step explanation:
Bcs, in the equation x+(-x)=0 you do x-x ( which is basically x+ -x) and they cancel each other out. This means your equation is 0=0
 
        
             
        
        
        
We know, opposite sides are parallelogram is parallel, therefore slopes are equal.
Slope of line one :

So, equation of other line passing through (-4,5) and have slope of -0.5 is :
y-5 = -0.5( x-(-4))
y-5 = -0.5x - 2
y  + 1/2x = 3
2y + x = 6
Therefore, equation of line containing the (-4, 5) is 2y + x = 6.
Hence, this is the required solution.
 
        
             
        
        
        
Use Pythagorean theorem.
[tex]|ON|^2+|MN|^2=|OM|^2\\\\x^2+x^2=8^2\\\\2x^2=64\ \ \ \ |divide\ both\ sides\ by\ 2\\\\x^2=32\to x=\sqrt{32}\\\\x=\sqrt{16\cdot2}\\\\x=\sqrt{16}\cdot\sqrt2\\\\\boxed{x=4\sqrt2}
Answer: |MN| = 4√2.