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Lesson 2: Equal parts of shapes

# Equal parts of circles and rectangles

Sal determines if shapes are divided into 2 or 4 equal sections.

## Want to join the conversation?

• Can a triangle be divided in to 3rds?
• You can achieve this to my knowledge atleast three different ways.
• Can a circle be divided by 6 equally?
• Yes! A circle can be divided into any number of equal parts.
• I already know that circles and rectangles can be equally divided, but how can triangles be divided into more than 2 pieces?
• Assuming you are talking about an equilateral triangle (a triangle with similar side lengths and angles for all three sides), you can split a triangle into three congruent (absolutely equal) pieces by drawing lines from each of the corners until they all reach the middle. To split an equilateral triangle into four pieces, Draw a horizontal line slightly above the middle to make one triangle, then split the lower part into a (going horizontally) regular triangle, upside-down triangle, and then another regular triangle.

Pictures of both are shown here: https://math.stackexchange.com/questions/158290/is-it-possible-to-divide-an-equilateral-triangle-into-12-congruent-triangles