Answer :
Answer:
see explanation
Step-by-step explanation:
Under a half turn about the origin
a point (x, y ) → (- x, - y ) , thus
(3, 0 ) → (- 3, 0 )
(3, 4 ) → (- 3, - 4 )
(- 1, - 4 ) → (1, 4 )
(r, s ) → (- r, - s )
The coordinates of the image point under a half-turn about the origin(3, 0 ) is (- 3, 0 ), (3, 4 ) is (- 3, - 4 ), (- 1, - 4 ) is (1, 4 ), (r, s ) is (- r, - s ).
What is a mirror image of a point in coordinate geometry?
The mirror image of a point in coordinate geometry is the image formed with respect to the x-axis, y-axis, or origin.
A point (x, y ) has image point (- x, - y )
Thus,
The coordinates of the image point under a half-turn about the origin(3, 0 ) is (- 3, 0 )
The coordinates of the image point under a half-turn about the origin(3, 4 ) is (- 3, - 4 )
The coordinates of the image point under a half-turn about the origin(- 1, - 4 ) is (1, 4 )
The coordinates of the image point under a half-turn about the origin(r, s ) is (- r, - s )
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