[b]a[/b]. Draw a triangle with vertices at [i]A[/i](0,3) [i]B[/i](4,5), and [i]C[/i](3, -3).[br][b]b[/b]. Create a point at the origin [i]D[/i](0,0).
[b]c. [/b]The point ([i]x[/i], [i]y[/i]) is rotated 180° [b]clockwise[/b] about the origin. Make a prediction of which quadrant(s) will the image of the triangle be in after a 180° [b]clockwise[/b] rotation.
[b]d.[/b] [i]Rotate[/i] triangle [i]ABC[/i] 180° counterclockwise about the origin. What are the coordinates of the vertices of the image of triangle [i]A'B'C'[/i]? Write a rule to determine the coordinates of the image of ([i]x[/i], [i]y[/i]) after a 180° [b]clockwise[/b] rotation.
[b]a[/b]. Draw a triangle with vertices at [i]A[/i](0,3) [i]B[/i](4,5), and [i]C[/i](3, -3).[br][b]b[/b]. Create a point at the origin [i]D[/i](0,0).[br][b]c. [/b]Rotate the triangle 180° [b]counterclockwise[/b] about the origin.
[b]d.[/b] What is the relationship between the coordinates of the vertices of triangle [i]ABC[/i] and those of triangle [i]A'B'C'? [/i]Write a rule to determine the coordinates of the image of ([i]x[/i], [i]y[/i]) after a 180° [b]counterclockwise[/b] rotation.