50 points may be earned during the unit out of 100 points
Answer:
w = 4
YZ = 24
Step-by-step explanation:
Since, Y is a point lying between the points X and Z.
Therefore, relationship between the lengths of the segments will be,
length of segment XZ = length of XY + length of YZ
It's given in the question,
XZ = 12w - 8
YZ = 6w
XY = 4w
By substituting these values in the relation,
12w - 8 = 4w + 6w
12w - 8 = 10w
12w = 10w + 8
12w - 10w = 8
2w = 8
w = 4
Since, YZ = 6w
Therefore, YZ = 24
Answer:
x=8
Step-by-step explanation:
4(x-6)=8
4x-24=8
4x=32
x=8
49498683837. To work these questions out, use column addition, it is a quick and simple way to add large numbers.
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