Ch 8: High School Geometry: Quadrilaterals

Watch math video lessons and learn properties of quadrilaterals, division of line segments into equal parts, ways to use Heron's formula and more. These lessons are just a portion of our high school-level geometry course materials.

High School Geometry: Quadrilaterals - Chapter Summary and Learning Objectives

Think geometry's for the birds? Not exactly. In this chapter, the kites and herons actually refer to a familiar quadrilateral and a Greek mathematician. Within this group of lessons, you can explore a variety of four-sided shapes. In addition to a kite, you can also learn to work with a rhombus, rectangle, trapezoid, square and parallelogram. You can also meet Heron and find out how to use his geometric formula. This chapter is designed to teach you:

• Properties of parallelograms, rhombi, kites, rectangles, squares and trapezoids
• Various theorems, constructions and calculations with quadrilaterals
• Division of line segments into equal parts
• Uses for Heron's geometric formula

Video Objective
Parallelograms: Definition, Properties, and Proof Theorems Define and illustrate a parallelogram. State the properties of a parallelogram and theorems to prove a quadrilateral is a parallelogram.
Measuring the Area of a Parallelogram Explain how to measure the area of a parallelogram.
What Is a Rhombus? - Definition and Properties Define and illustrate a rhombus. Explain why a quadrilateral is a rhombus. Discuss properties of a rhombus.
Measuring the Area of a Rhombus Explain the formula for measuring the area of a rhombus.
Kites in Geometry: Definition and Properties Define and illustrate a kite. Discuss the properties of a kite, including those it shares with the rhombus.
Rectangles: Definition, Properties & Construction Define and illustrate a rectangle. Discuss the properties of rectangles. Discuss the construction of a rectangle.
Measuring the Area of a Rectangle Explain how to apply the area of a rectangle formula.
Squares: Definition and Properties Explain the characteristics of a square and illustrate one. Discuss the properties of a square.
Trapezoids: Definition and Properties Define and illustrate a trapezoid and an isosceles trapezoid. Discuss properties of trapezoids.
Measuring the Area of a Trapezoid Explain the formula used for measuring the area of a trapezoid. Describe the variables used in the formula.
Dividing Line Segments into Equal Parts Describe how to divide a given line segment into any number of equal parts.
Using Heron's Formula in Geometry Describe Heron's contributions to geometry. Explain how to use Heron's formula.

11 Lessons in Chapter 8: High School Geometry: Quadrilaterals
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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