Discovering the Properties of Rhombus
Brief Description:
In this activity, students will discover the properties of a rhombus using the Geogebra application. Through visual exploration, students will observe how all sides of a rhombus are of equal length, confirm the parallelism of opposite sides, and verify the equality of opposite angles. Additionally, students explore how the diagonals of a rhombus bisect each other, intersecting at midpoints and forming equal angles. This hands-on approach with Geogebra will deepen understanding of the geometric characteristics unique to rhombuses.
Objectives:
1. Understand that all sides of a rhombus possess equal lengths;
2. Recognize that opposite sides of a rhombus are parallel;
3. Comprehend that opposite angles within a rhombus are equal in size;
4. Investigate how the diagonals of a rhombus bisect one another and are perpendicular to each other;
5. Explore how the diagonals of a rhombus bisect a pair of opposite angles; and
6. Analyze the relationship between parallelograms and rhombuses.
1. What can you say about the side AB, BC, CD, and AD?
2. What can you say about the angle ABD and angle CBD?
3. What can you say about the angle AEB?
4. While manipulating slider n, it is holds true for any value of n?
5. While manipulating slider alpha, it is holds true for any value of alpha?
6. Is a rhombus a parallelogram? If so, WHY is it a parallelogram?