[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° counterclockwise about the origin. With your partner, make a prediction of which quadrant(s) will the image of the triangle be in after a 180° counterclockwise 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° counterclockwise rotation.
[b]e. [/b]Find the side lengths and angle measures of the two triangles. What do you notice?