Respuesta :
The new coordinate of the points A (3, 4), B (5, 4), and C (3, 2) are A'(-2, 0), B'(-2, -2), and C'(0, 0).
What is geometric transformation?
It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have three points:
A (3, 4), B (5, 4), and C (3, 2)
Rotated about an origin through 90 degrees in a clockwise direction:
(x, y) → (y, -x)
Translated 2 units left:
(y, -x) → (y-2, -x)
Translated 3 units up:
(y-2, -x) → (y-2, -x+3)
Reflected across y-axis:
(y-2, -x+3) → (-y-2, -x+3)
New coordinates:
A(3, 4) → (-4+2, -3+3) → A'(-2, 0)
Similarly,
B(5, 4) → B'(-2, -2)
C(3, 2) → C'(0, 0)
Thus, the new coordinate of the points A (3, 4), B (5, 4), and C (3, 2) are A'(-2, 0), B'(-2, -2), and C'(0, 0).
Learn more about the geometric transformation here:
brainly.com/question/16156895
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