Across
- 2. Angle: An angle that is less than 90 degrees.
- 6. An educated guess in mathematics, often based on observation.
- 7. The line segment joining a vertex of a triangle to the midpoint of the opposite side.
- 11. A part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.
- 12. A polygon with four sides.
- 13. A four-sided figure with opposite sides parallel and equal in length.
- 14. This fundamental principle is proven by a logical sequence of statements and is a cornerstone of geometric proofs.
- 15. A six-sided polygon.
- 16. A flat, two-dimensional surface that extends infinitely far.
- 17. Interior Angle Sum Theorem: A theorem stating that the sum of the interior angles of a polygon is (n-2)×180 degrees, where n is the number of sides.
Down
- 1. Reasoning: A logical process where the conclusion is based on the concordance of multiple premises that are generally assumed to be true.
- 2. The space, typically measured in degrees, where two intersecting lines or surfaces meet.
- 3. Inequality Theorem: A theorem stating that the sum of the lengths of any two sides of a triangle must be greater than or equal to the length of the remaining side.
- 4. Triangle: A polygon with three equal sides and three equal angles.
- 5. A line that passes through two lines in the same plane at two distinct points.
- 8. Theorem: A relation in Euclidean geometry among the three sides of a right triangle stating that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
- 9. Angles: Two angles whose sum is exactly 90 degrees.
- 10. Triangle: A triangle with all sides of different lengths.