A cyclic **quadrilateral** is a **quadrilateral** that is convex and whose vertices lie on a circle. A **quadrilateral** n ABCD is inscribed in the circle if all the vertices ofn ABCD lie on.

• One large piece of paper per student. • Geoboard dot paper. • Geoboards and one geoband per student. • **Quadrilateral** Glossary Sheet • Mystery Block (SR1)

Grade/Level: Lessons are appropriate for Grades 3 and 4 Duration/Length: 3 days, given that each math block is 60 minutes long Student Outcomes: Students will: • Analyze and identify the different properties of **quadrilateral** polygons Materials and Resources: • Student Resources 1-7 • Teacher Resources 1 ...

Proving That a **Quadrilateral** is a Square The following method can be used to prove that a **quadrilateral** is a square: If a **quadrilateral** is both a rectangle and a rhombus, then it is a square.

•A diagonal of a **quadrilateral** is a line segment whose endpoints are two nonadjacent vertices of the **quadrilateral**, such as and . •The sum of the measures of the angles of a **quadrilateral** is 360 degrees.

Euclidean and Non-Euclidean Geometry - Fall 2007 Dr. Hamblin Presentation: Cyclic **Quadrilaterals** In this presentation, you will investigate a special class of **quadrilaterals** known as "cyclic **quadrilaterals**.By definition, a cyclic **quadrilateral** is one where all four vertices lie on a single circle.

particular **quadrilateral** (as explored fairly extensively in De Villiers, 1996) can easily be found simply by reflection in the line of symmetry.

Usually the next section in geometry texts is proving a **quadrilateral** is a parallelogram and this lesson could serve as the next day's lesson after that introductory day.

3 Overview Day 1: The lesson begins with a discussion in regards to the definition of a **quadrilateral** and the terms referring to the parts of the **quadrilateral**.

)Sometimes, Always, or Never. (The answer is Never because you moved right across the chart. ) A **quadrilateral** is a kite? Sometimes, Always, or Never.