Investigate characteristics of diagonals of various quadrilaterals.
- Demonstrate knowledge and understanding of the nature of different quadrilaterals based directly on the properties of their diagonals
- Identify quadrilaterals given only properties of their diagonals
- vertex angles
- perpendicular bisector
About the Lesson
This lesson involves manipulating endpoints and/or the intersection point of two diagonals that have special characteristics. As a result, students will:
- Observe whether the two diagonals mutually bisect each other, bisect vertical angles, are congruent, or whether one is the perpendicular bisector of the other.
- Determine which special quadrilaterals can be formed and, in some cases, determine which special quadrilateral must be formed, based on what they know about the diagonals.