Introduction
Look at the kites in the picture below. Are they parallelograms? Why or why not?
What about the trapezoids in the picture below? Are they parallelograms? Why or why not?
Post your response to 7.06 Explore Discussion and then reply to another classmate. In your reply, explain why you answered these questions the way you did.
Following successful completion of this lesson, students will be able to...
- Apply and use properties of trapezoids to solve problems
- Investigate properties of trapezoids
Essential Questions
- What are the differences and similarities between squares, rectangles, and rhombi?
- How are parallelograms, kites, and trapezoids different?
- How can you use coordinates to find perimeters and areas of quadrilaterals in the coordinate plane?
- How does the sum of the interior angles of a triangle relate to the sum of the interior angles of polygons?
Enduring Understandings
- Polygons can be classified using properties of sides and angles.
- There is a relationship between the number of sides of a polygon and the sum of its interior angles.
- Each type of quadrilateral has properties that make it unique.
- We can use known properties to verify if a quadrilateral is a parallelogram.
- Different types of quadrilaterals have their own unique properties.
- The two bases of a trapezoid are formed by parallel lines.
- Different types of quadrilaterals have their own unique properties.
- Coordinates can be used to compute perimeter and area of quadrilaterals.
The above objectives correspond with the Alabama Course of Study: Geometry with Data Analysis standards: 32, 31c, 29, 29a, 29b.