If a figure can match itself in three postions what is the angle of roatation
1 answer:
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Answer:
D(-2, 5).
Step-by-step explanation:
We are given that M is the midpoint of CD and that C = (10, -5) and M = (4, 0).
And we want to determine the coordinates of D.
Recall that the midpoint is given by:
Let C(10, -5) be (<em>x</em>₁<em>, y</em>₁) and Point D be (<em>x</em>₂<em>, y</em>₂). The midpoint M is (4, 0). Hence:
This yields two equations:
Solve for each:
And:
In conclusion, Point<em> </em>D = (-2, 5).
Answer:
(x, y) = (2, 1)
Step-by-step explanation:
Adding the two equations gives ...
2y = 2
y = 1 . . . . . divide by 2
Subtracting the second equation from the first gives ...
0 = 6x -12
0 = x -2 . . . . divide by 6
2 = x
The solution is (x, y) = (2, 1).
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The attached graph verifies this solution.
