Written by the Fiveable Content Team • Last updated August 2025
Verified for the 2026 exam
Verified for the 2026 exam•Written by the Fiveable Content Team • Last updated August 2025
Definition
Geometry is the branch of mathematics that studies shapes, sizes, positions, angles, and dimensions of objects in space. It explores properties such as symmetry, congruence, similarity, and transformations.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Transformations: Transformations in geometry include translations, rotations, reflections, and dilations that change the position or size of a figure.