Show that a triangle with vertices at (3,5), (3, 2), and (2,5) is a right triangle.
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Answer:
(2,3)
Step-by-step explanation:
We are given that triangle PQR lies in the xy-plane, and coordinates of Q are (2,-3).
Triangle PQR is rotated 180 degrees clockwise about the origin and then reflected across the y-axis to produce triangle P'Q'R',
We have to find the coordinates of Q'.
The coordinates of Q(2,-3).
180 degree clockwise rotation about the origin then transformation rule
The coordinates (2,-3) change into (-2,3) after 180 degree clockwise rotation about origin.
Reflect across y- axis the transformation rule
Therefore, when reflect across y- axis then the coordinates (-2,3) change into (2,3).
Hence, the coordinates of Q(2,3).