1. A parallelogram has vertices A(0,3), B(-2,3), C(-4,2), D(-2,2). Parallelogram ABCD is transformed to parallelogram A"B"C"D" by a dilation, with the origin as the center of dilation and a scale factor of 3, followed
by a reflection across the y-axis. Find the coordinates of the vertices of A"B"C"D", and state whether the two
parallelograms are similar or congruent. Justify your answer.
The coordinates of A"B"C"D" are A"0,-9), B"(-6,-9), C"(-12,-6), D"(-6,-6). Parallelogram ABCD is congruent to
parallelogram A"B"C"D" because rotations and dilations are congruence transformations.
The coordinates of A"B"C"D" are A"(0,9), B"(6,9), C"(12,6), D"(6,6). Parallelogram ABCD is similar to
parallelogram A"B"C"D" because a dilation with a scale factor that does not equal 1 produces an image that is similar,
but not congruent, to the original figure.
The coordinates of A"B"C"D" are A"(0,9), B"(6,9), C"(12,6), D"(6,6). Parallelogram ABCD is congruent to
parallelogram A"B"C"D" because rotations and dilations are congruence transformations.
The coordinates of A"B"C"D" are A"(0,-9), B"(-6,-9), C"(-12,-6), D"(-6,-6). Parallelogram ABCD is similar to
parallelogram A"B"C"D" because a dilation with a scale factor that does not equal 1 produces an image that is similar,
but not congruent, to the original figure.