Proving that a quadrilateral is a Parallelogram Geometry
- Slides: 14
Proving that a quadrilateral is a Parallelogram Geometry Regular Program SY 2014 -2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson
Proving Parallelograms When is a quadrilateral a parallelogram? 1. If both pairs of opposite sides are parallel 2. If both pairs of opposite sides are congruent 3. If both pairs of opposite angles are congruent 4. If the diagonals bisect each other 5. If a pair of opposite sides are both congruent and parallel
Exercises Is the quadrilateral a parallelogram or not ? Why? YES!
Exercises Is the quadrilateral a parallelogram or not ? Why? YES!
Exercises Is the quadrilateral a parallelogram or not ? Why? YES!
Exercises Is the quadrilateral a parallelogram or not ? Why? No
Exercises Is the quadrilateral a parallelogram or not ? Why? No
Exercises Is the quadrilateral a parallelogram or not ? Why? No
Exercises Is the quadrilateral a parallelogram or not ? Why? No
Exercises Is the quadrilateral a parallelogram or not ? Why? YES!
Exercises Is the quadrilateral a parallelogram or not ? Why? YES!
Exercises What must be the values of x and y to make ABCD a parallelogram?
Exercises What must be the values of x and y to make ABCD a parallelogram?
Exercises What must be the values of x to make ABCD a parallelogram?