Check the attached file for the answer.
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Answer:
The answer is below
Step-by-step explanation:
From the image attached, the coordinates of triangle ABC are at A(-5, 4), B(-5,7) and C(-2, 7)
a) If a point O(x,y) is rotated 90° clockwise, the new coordinate is O'(y, -x)
If triangle ABC is rotated 90° clockwise, its new coordinate is at:
A'(4, 5), B'(7, 5) and C'(7, 2)
The coordinate of A"B"C" is A"(2,5), B"(5,5), C(5,2)
Hence the transformation used to map A'(4, 5), B'(7, 5) and C'(7, 2) to A"(2,5), B"(5,5), C(5,2) is (x - 2, y + 0). Hence comparing with (x + h, y + k) gives:
h = -2, k = 0
b) If a point O(x,y) is reflected across the y = -x line, the new coordinate is O'(-y, -x)
If triangle ABC is reflected across y = -x, its new coordinate is at:
A'(-4, 5), B'(-7, 5) and C'(-7, 2)
The coordinate of A"B"C" is A"(2,5), B"(5,5), C(5,2)
