3. Similar Triangles
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Recall all Conditions of Parallelograms.
See solution.
| If both pairs of opposite sides of a quadrilateral are congruent, | then the quadrilateral is a parallelogram. |
| If both pairs of opposite angles of a quadrilateral are congruent, | |
| If the diagonals of a quadrilateral bisect each other, | |
| If one pair of opposite sides of a quadrilateral is both parallel and congruent, |
We can determine the shape of a quadrilateral by checking if any of the above conditions is satisfied. If so, then we can say that this quadrilateral is a parallelogram.