Question

Parallelograms are four sided figures that have two pairs of opposite, parallel sides. Quadrilateral ABCD shown below is parallelogram. One of it's two diagonals, AC is drawn and it's midpoint M is located. Use tracing paper in this problem to help you answer the following questions.

Answer 1

a. Since the distance between A and M is equal to the distance between C and M , and the distance between B and M is equal to D and M , When you rotate CD 180° around M, you would lie CD on top of AB.

b. Since the distance between A and M is equal to the distance between C and M , and the distance between B and M is equal to D and M. When you rotate AD 180° around M, the line would lie AD on top of BC.

c. Following the changes we find that the images of lines AD and CD would intercept at point B (of the original figure). From this we can conclude that Opposite sides have the same measure, and opossite angles of a parallelogram have the same value.