Geometric photo By: Mary byrd Base of triangle The side of a triangle which is perpendicular to the altitude. box A box shape in three dimensional space. Formally, a polyhedron for which all faces are rectangles. cevian A line segment, ray, or line that extends from a vertex of a triangle to the opposite side (which may be extended). Medians, altitudes, and angle bisectors are all examples of cevians. cosine The trig function cosine, which is written cos θ. For acute angles, cos θ can be found by theSOHCAHTOA definition, shown below on the left. The circle definition, a generalization of SOHCAHTOA, is shown below on the right. f(x) = cos x is a periodic function with period 2π Circle The locus of all points that are a fixed distance from a given point. cuboids A box shape in three dimensional space. Formally, a polyhedron for which all faces are rectangles. cylinder A three-dimensional geometric figure with parallel congruent bases. The bases can be shaped like any closed plane figure (not necessarily a circle) and must be oriented identically. Note: The word cylinder often refers to a right circular cylinder. decagon A polygon with ten sides Diagonal of a polygon A line segment connecting non-adjacent vertices of a polygon. Note: An n-gon has diagonals. dodecagon A polygon with 12 sides. hypotenuse The side of a right triangle opposite the right angle. Note: The hypotenuse is the longest side of a right triangle. Major arc The longer of the two arcs between two points on a circle. octagon A polygon with eight sides. rectangle A box shape on a plane. Formally, a rectangle is a quadrilateral with four congruent angles (all 90°). Rectangle parallelepiped A box shape in three dimensional space. Formally, a polyhedron for which all faces are rectangles Square pyramid A nonnegative number that must be multiplied times itself to equal a given number. The square root of xis written or x . For example, since 3 = 9. Note: never refers to a negative number. Even though (–3)(– 3) = 9, we do not say that –3 is a value of . Also, if x itself is negative then is imaginary. ½ 2 traoziod Commentary: Under US definition 1, a parallelogram is a type of trapezoid. Under US definition 2, a parallelogram is not a type of trapezoid. Regardless of which definition you prefer, the trapezoid area formula can be used to find the area of a parallelogram. Trapezoid US usage, definition 1: A quadrilateral which has a pair of opposite sides which are parallel. The parallel sides are called the bases, and the other two sides are called the legs. US usage, definition 2: A quadrilateral which has one parallel pair of opposite sides and one non-parallel pair of opposite sides. The parallel sides are called the bases, and the other two sides are called the legs. UK usage: The same as the US word trapezium. The UK word trapezium means the same as the US word trapezoid, and vice-versa. trapezium US usage: A quadrilateral with no parallel sides. UK usage: The same as the US word trapezoid. The UK word trapezoid means the same as the US word trapezium, and vice-versa. Truncated cone A cone or pyramid which has its apex cut off by an intersecting plane. The plane may be either obliqueor parallel to the base. Note: If the truncating plane is parallel to the base the figure is called a frustum Truncated cylinder A cylinder or prism which has one base cut off by an intersecting plane. The other base is unaffected by the truncation. The truncating plane may be either oblique or parallel to the bases