One of the properties of parallelograms is that any pair of consecutive angles are supplementary. This is a straightforward application of the properties of parallel lines intersected by a transversal … [Read more...] about Parallelograms: Consecutive Angles are Supplementary
A quadrangle in which both pairs of opposite sides are parallel to each other is called a parallelogram.
The opposite sides of a parallelogram are equal in size to each other, and the opposite angles are equal - as we will show, using triangle congruence.
Other properties include:
- The diagonals of a parallelogram bisect each other
- Any two adjacent angles are supplementary
Now that we've explained the basic concept of parallelograms in geometry, let's scroll down to work on specific geometry problems relating to this topic.
A parallelogram is defined as a quadrilateral where the two opposite sides are parallel. One of the properties of parallelograms is that the opposite angles are congruent, as we will now … [Read more...] about Parallelograms: The Two Pairs of Opposite Angles are Congruent
A parallelogram is defined as a quadrilateral where the two opposite sides are parallel. We will show that in that case, they are also equal to each other.ProblemABCD is a parallelogram, … [Read more...] about Parallelograms: The Opposite Sides are Equal to Each Other
A parallelogram is defined as a quadrilateral with two opposite pairs of sides are parallel. We have said (and proven) that parallelograms have four basic properties:The two pairs of opposite … [Read more...] about Proving a Quadrilateral is a Parallelogram
A line that intersects another line segment and separates it into two equal parts is called a bisector. In a quadrangle, the line connecting two opposite corners is called a diagonal. We will show … [Read more...] about The Diagonals of a Parallelogram Bisect Each Other