Copy of ACCESS - Proving Parallelograms
ABCD is a quadrilateral. Drag A, B, or C to reshape the quadrilateral. Check the information on the cases one at a time. Do any of these cases give you enough information to prove that the quadrilateral is a parallelogram? Why or why not?
Every single one of these cases gives me evidence proving that this quadrilateral is a parallelogram. In Case 1 I am given two sets of opposite slopes and angles D and B have the same slope and angles A and C have the same slope. With Case 2, it's the same situation with each side being congruent to the one opposite of them, side AB and CD with a length of 4 and side BC and AD with a length of 2.3. Yet again, in case 3 the opposite angles are congruent, angle A has a measure of 115.8 which is consecutive with angle D with a measure of 64.2 and same on the other side, angle B has a measure of 64.2 and is consecutive with angle C with 115.8 degrees. Finally, in case 4, the diagonals, the opposite diagonals are the same shown by two marks on LA and LC which are opposite and one mark on LB and LD which are opposite as well.