To graph triangle ABC after a rotation of 270 degrees clockwise about the origin, we first need to know the coordinates of the vertices of triangle ABC. Let's assume that the coordinates of the vertices of triangle ABC are A(1, 1), B(3, 2), and C(2, 4).
Step 1: Plot the original triangle ABC
To begin with, we need to plot the original triangle ABC.
- Plot point A(1, 1)
- Plot point B(3, 2)
- Plot point C(2, 4)
- Connect the points A, B, and C to form the triangle ABC
Step 2: Rotate the triangle 270 degrees clockwise
To rotate the triangle 270 degrees clockwise, we essentially need to swap the x and y coordinates. We then multiply the new x-coordinate by -1.
- For point A(1, 1), its new coordinates after rotation would be A'(1, -1).
- For point B(3, 2), its new coordinates after rotation would be B'(2, -3).
- For point C(2, 4), its new coordinates after rotation would be C'(4, -2).
Step 3: Plot the rotated triangle A'B'C'
Now, we plot the new triangle A'B'C' obtained after the rotation.
- Plot point A'(1, -1)
- Plot point B'(2, -3)
- Plot point C'(4, -2)
- Connect the points A', B', and C' to form the rotated triangle A'B'C'
The resulting graph will show the rotated triangle ABC after a rotation of 270 degrees clockwise about the origin.
Graph triangle ABC after a rotation of 270 degrees clockwise the origin
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