Transformations and Congruence Unit Test
1. A triangle has vertices at (1, 2), (4, 3), and (2, 5). Describe how the triangle would look after a translation of (3, -1).
2. Triangle ABC has vertices at A(2, 3), B(5, 3), and C(4, 6). Find the coordinates of the vertices after a reflection over the x-axis.
3. Triangle DEF has vertices at D(1, 2), E(4, 4), and F(3, 6). Determine the coordinates of the vertices after a rotation of 90 degrees counterclockwise about the origin.
4. A rectangle has vertices at (-2, 0), (-2, 3), (3, 3), and (3, 0). Find the coordinates of the vertices after a dilation with a scale factor of 2.
5. Triangle GHI has vertices at G(1, 1), H(2, 4), and I(5, 2). Prove whether triangle GHI is congruent to triangle XYZ with vertices X(3, 3), Y(4, 6), and Z(7, 4).