Answer: The answer is (C) 180° rotation.
Step-by-step explanation: Given that the point A maps to the point A' by a rotation. We are to select the statement that describes the rotation.
In the given figure, the co-ordinates of point A are (-3, 5) and after rotation, the co-ordinates of point A' are (3, -5).
Therefore, the point (x, y) changes to (-x, -y) after rotation. This is the result of 180° rotation.
Therefore, the point A is rotated through an angle of 180° to reach at the point A'.
Thus, the correct option is (C) 180° rotation.
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Answer:
all are functions except Relation 2
Step-by-step explanation:
If any input value (first of an ordered pair) is used more than once, the relation is not a function. Output values can be used as often as you like.
Only Relation 2 is not a function.
You can do this by finding the lengths of RT , RS and ST using the distance formula
RT = sqrt ((0- -5)^2 + (4 - -6)^2)
= sqrt (5^2 + 10^2) = sqrt 125
RS = sqrt ((-3- -5)^2 + (-2 - -6)^2))
= sqrt ( 2^2 + 4^2) = sqrt 20
ST = sqrt 125 - sqrt 20
RS / ST = sqrt 20 / (sqrt 125-sqrt 20)
so the ratio RS:ST = 2:3
Its B
Are you allowed to use a calculator?