Pythagorean Theorem and Diagonals in Geometry

These flashcards cover essential vocabulary and concepts related to the Pythagorean Theorem and the properties of shapes in two and three dimensions.

Pythagorean Theorem

A mathematical principle stating 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.

Diagonal

A line segment that connects two non-adjacent vertices in a polygon or polyhedron.

Area Formula

Mathematical equations used to calculate the area of various shapes, including squares, rectangles, and triangles.

Three-dimensional diagonal

A line segment connecting two non-adjacent vertices that are not on the same face of a three-dimensional shape.

Quadrilateral

A polygon with four edges (or sides) and four vertices (or corners).

Isosceles trapezoid

A trapezoid with a pair of equal-length sides.

Right Triangle

A triangle that has one angle measuring 90 degrees.

Coordinate Plane

A two-dimensional number system in which the position of points is defined by a pair of numbers representing the horizontal and vertical distances from a reference point.

Legs of a triangle

The two sides of a right triangle that meet at the right angle.

Hypotenuse

The longest side of a right triangle, opposite the right angle.