Mathematics (US) - 0444 CIE

Geometry Definitions

Muhtasari

Before you can prove anything in geometry, you need to agree on what the basic objects are. What exactly is an angle? What makes two lines parallel, or perpendicular? These foundational definitions are the bedrock on which every geometric argument is built.

In this lesson you will learn precise definitions of the most fundamental geometric terms: angle, circle, perpendicular line, parallel line and line segment. Each definition is exact, so that everyone using it means precisely the same thing, which is what makes geometry rigorous.

Malengo

  1. Know precise definitions of angle, circle, perpendicular line, parallel line and line segment.

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Maelezo ya Somo

Geometry is built on precise definitions. A vague idea of 'parallel' or 'circle' is not enough to reason carefully or to follow a proof. Learning the exact meaning of each fundamental term gives you a shared, reliable language for describing and analyzing shapes.

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  1. A circle is the set of all points that are: A. inside a curve B. the same distance from a fixed center C. on a straight line D. at right angles Answer: B
  2. Two lines that meet at exactly 90 degrees are: A. parallel B. perpendicular C. equal D. curved Answer: B
  3. Parallel lines: A. meet at a point B. meet at 90 degrees C. never meet D. cross twice Answer: C
  4. The part of a line between two endpoints is a: A. ray B. line segment C. circle D. vertex Answer: B
  5. The common endpoint where two rays meet to form an angle is the: A. radius B. vertex C. segment D. center Answer: B

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