Explore properties of some special quadrilaterals using segments to build quadrilaterals and explore their angles.
- Students will recognize the types of quadrilaterals formed when opposite sides are congruent.
- Students will recognize that there are special quadrilaterals in which consecutive angles are supplementary and opposite angles are congruent.
- Students will recognize that for some special quadrilaterals, opposite sides are parallel.
About the Lesson
This lesson involves properties of parallelograms. Students manipulate endpoints of a set of segments or manipulate angles formed by two segments. As a result, students will:
- Make a quadrilateral (parallelogram) when opposite sides are congruent.
- Investigate a given quadrilateral (parallelogram) to observe that consecutive angles are supplementary and opposite angles are congruent.
- Investigate a given quadrilateral formed by parallel lines.
- Visualize different types of quadrilaterals.
- Infer about the properties of different special quadrilaterals.
- Describe consequences of all segments being congruent.