Regular hexagons have six equal sides and angles. Area formula: Area = (3√3 s²) / 2, where s is side length. Side length can be found by dividing perimeter by 6. Apothem can be used to find side length using a = x√3 formula
Cube has equal width, height, and length measurements. Volume equals length × width × height (s³). Example: 2-inch cube has volume of 8 cubic inches
Diagonal is the line from one square corner to opposite corner. Formula: diagonal = side length × square root of 2. All square sides are equal in length
Triangle area formula: A = 1/2bh. Height can be found by dividing base by 2, then dividing by area. Any side can be base, regardless of triangle drawing
Right triangle has one 90° angle and is the basis of trigonometry. Hypotenuse is the longest side opposite the 90° angle. Triangle sides are denoted by a, b, c, with c being hypotenuse. Altitude (h) divides triangle into two similar triangles
Two geometric objects are perpendicular if their intersection forms right angles at a foot. Perpendicularity extends to lines, planes, and segments. Perpendicularity is symmetric, meaning perpendicular lines are always parallel