Quadrilateral Properties: Rhombus
- Author:
- Emma Haddad
- Topic:
- Rhombus
Before you start
What is a rhombus?
Move points B and C and observe what happens to the rhombus.
Rhombus
In a quadrilateral, opposite sides are those across from each other, not touching or sharing any vertices. For example, AC and BE are opposite sides in the rhombus here.
#1
Is there a relationship between opposite sides of the rhombus? If so, what is the relationship?
Consecutive sides are those right next to each other (touching) in a polygon. For example, AC and CE are consecutive sides in this rhombus.
#2
Is there a relationship between consecutive sides of the rhombus? If so what is the relationship?
Now consider the angles in the diagram. Use the checkboxes as needed.
#3
What is the relationship between opposite angles of the rhombus?
#4
What is the relationship between consecutive angles of the rhombus?
Now let's add the diagonals to the rhombus. Diagonals are segments that connect one vertex to another non-consecutive vertex.
#5
Are the diagonals of the rhombus always congruent? How do you know?
#6
Do the diagonals of the rhombus always bisect each other? How do you know?
#7
Are the two diagonals always perpendicular? How do you know?
#8
Do the diagonals always bisect the angles at the vertices? How do you know?