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A linear pair is formed when two adjacent angles have their non-common side in opposite rays. Their measures will always add up to 180 degrees. Vertival angles are formed by two intersecting lines. Two pairs are formed; they are across from each other (not adjacent), and are congruent.
Types of Quadrilaterals--Parallelograms. If a quadrilateral has two pairs of parallel opposite sides, then it is called a parallelogram. Parallel sides in a parallelogram are also congruent in length. In addition, because opposite sides are parallel, opposite angles are congruent as well. An example of a parallelogram, with congruent parts identified, is shown below. As with the trapezoid, we can derive a formula for the area of a parallelogram by dividing it into a rectangle and two triangles.