Lesson 6-4: Rhombi and Squares

Investigating Geometry: Quadrilaterals

Henrico County Public Schools

Lesson 6-4: Rhombi and Squares

Objective:

SOL G.9: The student will verify characteristics of quadrilaterals and use properties of quadrilaterals to solve real-world problems.

Applet Directions 1 Close

The figure is a right ΔABC with the right angle at C.

Construct a rhombus where C is the "center" of the rhombus and segment AB is a side of the rhombus.

Hint: Close

Using the circle tool , construct a circle with radius AB and center at A.

Construct the same size circle with center at B.

Using the line tool , extend segment AC and segment BC to intersect the circles previously created.

How do you complete the rhombus?

Hands-On Activity

Discovering Rhombi Properties
Sorting Quadrilaterals

Other Web Sites

Glencoe: On Line Quiz

Puzzle & Problems

A design is made with identical rhombi as shown. Side AB = 5, diagonal AC = 8, and diagonal BD = 6. Find the perimeter and area of the design. Explain your reasoning.