The translation that maps triangle ABC to A prime B prime C prime would be a reflection across the y axis. This is because when you reflect something, you are pretty much flipping it. When you reflect across the y axis, you are flipping the triangle across the y axis. Take one point for example. I will use C. Notice how the point C is 3 units away from the y axis. So the same way you would move the point 3 units right from the y axis, and that would be your new point. This sounds kind of complicated, so I will give you a list of rules to make it more simple.
Reflection across y axis: (x,y) would be equal to (-x, y)
Reflection across x axis: (x,y) would be equal to (x, -y)
Reflection across y = x: (x,y) would be equal to (y,x)
Reflection across y = x: (x,y) would be equal to (-y,-x).
A reflection across y = x would be when you have a line that for every 1 it rises, it goes right 1. It is a positive line, as opposed to the y = -x line. It also has a slope of 1. I will try attaching a graph if I can.
Anyway, as I was saying. So pretty much if you don't want to go through the logic, to see whether a figure is reflected, just try each of these rules and if one works then you have your answer. Otherwise it would not be a reflection.
Thanks for being a great mod and hope this helps! :D
Answer:
yes
Step-by-step explanation:
Step-by-step explanation:
10-5y=3x
1. add 10 to both sides
-5y=3x+10
2. divide everything by -5
y=-3/5x-2
3. your point would start at -2 on the y axis and you would go down 3 and over 5 to get to the next point
Answer:
4
Step-by-step explanation:
Brackets always mean "DO THIS FIRST!!!"
2+6 = 8
Then, do 3 x 8. That is 24.
24 divided by 4 is 6.
6 - 2 is 4!
-0.5 and 2 the difference is 2.5. 2.5 times 4 equals 10. 2 and -8 the difference is 10. 10 times 4 equals 40. -8 and 32 the difference is 40