Point K is located at (7,4) in the coordinate plane. Its image is created by the following rule:
K’ = Ro270°(K)
Which transformation of point K would produce the same result for K’?
A. K’ = Ry-axis(Ry-axis(K))
B. K’ = T<–3,–11>(K)
C. K’ = Ry=x(K)
D. K’ = T<3,11>(K)
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please help! doesn’t matter if you give me the answer or not, just explain what this question is trying to ask... thanks
It’s d
can someone helppppp please it’s urgent
(x,y)→(y,-x)
So what will take (7,4) to (4,-7) ?
Hello! It seems like you're looking for an explanation of the question rather than the answer. Let's break it down:
The question is asking you to identify the transformation that would produce the same result as rotating point K by 270 degrees counterclockwise. The notation "Ro270°" indicates a rotation of 270 degrees.
Now let's look at the answer choices and break them down:
A. K' = Ry-axis(Ry-axis(K))
This option is applying the reflection over the y-axis twice. It does not involve any rotation, so it does not produce the same result as the 270-degree counterclockwise rotation. Therefore, this option can be eliminated.
B. K' = T<-3, -11>(K)
This option represents a translation of K by -3 units in the x-direction and -11 units in the y-direction. Translation involves sliding the point, but it does not involve rotation. Therefore, this option is not the correct transformation.
C. K' = Ry=x(K)
This option applies a reflection over the line y = x. Reflections change the position of points, but they do not involve rotation. Therefore, this option does not produce the same result as the 270-degree counterclockwise rotation.
D. K' = T<3, 11>(K)
This option represents a translation of K by 3 units in the x-direction and 11 units in the y-direction. Translation does not involve rotation, so it does not produce the same result as the 270-degree counterclockwise rotation.
Based on the explanations, none of the given options result in the same transformation as the 270-degree counterclockwise rotation. It seems like there might be a mistake in the options. Nevertheless, I hope this breakdown helps you understand the question better!
This question is asking which transformation of point K would produce the same result for K' as the given rule, K' = Ro270°(K).
To understand this, let's break down the given rule. Ro270°(K) means rotating point K by 270 degrees counterclockwise around the origin. So we need to find another transformation that would yield the same result for K'.
Now let's analyze each option:
A. K' = Ry-axis(Ry-axis(K))
This option involves reflecting the point K twice over the y-axis. However, this does not result in a rotation, so it does not produce the same result as the given rule.
B. K' = T<-3,-11>(K)
This option involves translating the point K by -3 units in the x-direction and -11 units in the y-direction. Translation is not a rotational transformation, so it does not produce the same result as the given rule.
C. K' = Ry=x(K)
This option involves reflecting the point K over the line y=x. Again, this is not a rotational transformation, so it does not produce the same result as the given rule.
D. K' = T<3,11>(K)
This option involves translating the point K by 3 units in the x-direction and 11 units in the y-direction. Similar to option B, this is a translation and not a rotation, so it does not produce the same result as the given rule.
Therefore, none of the given options produce the same result as the rotation rule Ro270°(K).