Two triangles pushed together can make a square.
Step 1: Let's Learn
Read it, or press Listen and follow the words.
More than one way
A hexagon can be filled with triangles, or with rhombuses, or with trapezoids. Different pieces, same outline.
It must fill exactly
No gaps and no overlaps. If a piece sticks out or leaves a hole, it does not count as filling the shape.
Smaller pieces means more of them
Six triangles or three rhombuses fill the same hexagon. The smaller the piece, the more you need.
Why this matters later
Breaking a shape into equal pieces is how fractions begin. You are doing that already, without the names.
Step 2: Try It Yourself
Switch the pieces. The outline never changes.
It takes 6 triangles to fill the hexagon.
Step 3: Watch an Example
One step at a time.
Watch Mia Fill a Hexagon
Mia fills the same hexagon three different ways.
- Step 1
First she uses six triangles.
Step 4: Your Turn
Practice makes it stick.
The Triangles
Problem 1 of 1
How many triangles fill a hexagon?
Fit the Pieces
1 of 4
How many rhombuses fill a hexagon?
2 of 4
How many trapezoids fill a hexagon?
3 of 4
How many triangles make one rhombus?
4 of 4
Can pieces overlap when filling a shape?
Step 5: Quick Check
Show what you know.
Question 1 of 1
How many triangles fill a hexagon?
What You Learned
- Small shapes join to make bigger shapes.
- The same shape can be filled in more than one way.
- The pieces must fill it exactly, with no gaps.