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:
about 37.7 feet
Step-by-step explanation:
If the outside wheels are turning twice as fast, they go twice the distance in the same time. The distance they travel is proportional to the radius of the circle, so the outside circle must have twice the radius of the inside circle.
Adding 6 ft to the radius of the inside circle doubles the radius, so the inside circle's radius must be 6 feet. Then the circumference of the inside circle is ...
C = 2πr = 2π(6 ft) = 12π ft ≈ 37.7 ft
Answer:
10 ft
Step-by-step explanation:
To get their total reach, we add the two numbers.
5⅙
+4⅚
Add integers and fractions
5⅙
<u>+4⅚
</u>
9⁶/₆
Convert the fraction to an integer
⁶/₆ = 1
Add the 1 to the 9
9 + 1 = 10 ft
If Madison and Jade lay end to end, they will they reach 10 ft.
I think it’s c if not i’m sorry i got you incorrect but it just makes more since
