What are 3 examples of deduction in geometry?

Answer 1

Three examples of deduction in geometry include:

1. Pythagorean Theorem: By using the relationship between the sides of a right triangle, one can deduce that (a^2 + b^2 = c^2), where (c) is the hypotenuse.
2. Angle Sum Theorem: In any triangle, the sum of the interior angles can be deduced to be 180 degrees through geometric constructions and properties of parallel lines.
3. Congruence of Triangles: The Side-Angle-Side (SAS) postulate allows one to deduce that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.