Linear Pair Conjecture

Explanation:

A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

The precise statement of the conjecture is:

Conjecture (Linear Pairs Conjecture ): Linear pairs of angles add up to 180 degrees.

Interactive Sketch Pad Demonstration:

Key Curriculum Press can provide demo versions of Geometer's Sketch Pad
- Sketchpad for Mac, Version 3.00 (721K)
- Sketchpad 3.04 for Windows (638K)
- More Sketch Pad download information
Linked Sketch Pad demonstration of this conjecture

Linked Activity:

Please feel free to try the activity sheet associated with this conjecture.

Next: Triangle Sum Conjecture
Previous: Vertical Angles Conjecture
Back: Conjectures in Geometry Conjecture List or to the Introduction.