ELI5: Geometry

In the English language, geometry is the area of math that studies shapes, sizes, and spaces, and when you make a flowchart proof, it is the mystery you are solving by using clues and arrows to show how shapes work.

Imagine you are playing with colorful building blocks or drawing pictures of triangles and circles. That is geometry! Sometimes in geometry, you need to prove a secret about your shapes, such as proving that two triangles are the exact same size.

A flowchart proof is like a treasure map made of boxes and arrows that tells the story of how you solved that secret:

• The Clues (Statements): Each box in your flowchart contains a fact about the shape. For example, one box might say, "Side A is the same length as Side B."
• The Rules (Reasons): Right under that clue, you write the math rule that explains how you know it is true, almost like saying, "I know this because I measured it with my ruler!"
• The Arrows: The arrows connect the boxes together, showing how one clue leads right into the next clue.