G.CO.6 Understand congruence in terms of rigid motions

Consider parallelogram ABCD with coordinates A(2,−2), B(4,4), C(12,4), and D(10,−2). Consider the following transformation: A reflection over the x-axis Make a prediction about how the lengths, perimeter, area and angle measures will change.

Consider the following transformation: A rotation of counterclockwise about the origin Make a prediction about how the lengths, perimeter, area and angle measures will change.

Consider the following transformation: A dilation of scale factor 3 about the origin Make a prediction about how the lengths, perimeter, area and angle measures will change.

Consider the following transformation: A translation to the right 5 and down 3 Make a prediction about how the lengths, perimeter, area and angle measures will change

Compare and contrast which transformations a) reflection b) rotation c) dilation d) translation preserved the size and/or shape. Explain your reasoning.

Determine if the figures are congruent. If so, describe and demonstrate a sequence of rigid motions that maps one figure onto the other.