ClipArt ETC
An illustration of a composite figure made up of a quadrilateral frustum and half of a cylinder. Frustum edges range between 6 feet and 11 feet 5 inches and cylinder has a height of 12 feet.

Composite Figure of Quadrilateral Frustum With Half of a Cylinder Attached

An illustration of a composite figure made up of a quadrilateral frustum and half of a cylinder. Frustum…

An illustration of a circular cone.

Circular Cone

An illustration of a circular cone.

An illustration of a right circular cone with labels on slant height and altitude.

Right Circular Cone

An illustration of a right circular cone with labels on slant height and altitude.

Illustration of a cone with a polygon inscribed used to show that the volume of a circular cone is equal to one third the product of its base by its altitude.

Volume of Cone

Illustration of a cone with a polygon inscribed used to show that the volume of a circular cone is equal…

Labeled shapes showing various measures of form.

Measures of Form

Labeled shapes showing various measures of form.

Illustration of a parallelogram with altitude and diagonal drawn.

Altitude and Diagonal of a Parallelogram

Illustration of a parallelogram with altitude and diagonal drawn.

Illustration of parallelogram AEFC drawn two different ways with base b and altitude/height a used to prove the area is aXb.

Area of a Parallelogram

Illustration of parallelogram AEFC drawn two different ways with base b and altitude/height a used to…

Parallelogram with dimensions labeled. Parallelogram can be used to calculate area.

Parallelogram With Dimensions

Parallelogram with dimensions labeled. Parallelogram can be used to calculate area.

Parallelogram with dimensions labeled. Parallelogram can be used to calculate area.

Parallelogram With Dimensions

Parallelogram with dimensions labeled. Parallelogram can be used to calculate area.

Parallelogram with dimensions drawn to show relationship to the area of a rectangle.

Parallelogram and Rectangle Relationship

Parallelogram with dimensions drawn to show relationship to the area of a rectangle.

Diagram used to prove the theorem: "The volume of a any parallelopiped is equal to the product of its base and its altitude."

Volume of Parallelopiped

Diagram used to prove the theorem: "The volume of a any parallelopiped is equal to the product of its…

Pentagon with dimensions labeled. Pentagon can be used to calculate area by calculating individual triangles and finding the sum of the areas.

Pentagon With Triangular Sections For Area

Pentagon with dimensions labeled. Pentagon can be used to calculate area by calculating individual triangles…

Diagram used to prove the theorem: "The volume of a prismatoid is equal to the product of one-sixth the altitude into the sum of the two bases and four times the mid-section."

Volume of Prismatoid

Diagram used to prove the theorem: "The volume of a prismatoid is equal to the product of one-sixth…

An illustration of a pyramid with the top cut off by a plane parallel to the base. The remaining part is called a frustum. This frustum has hexagonal bases, one with 10 inch side and the other with a 6 inch side. Height is 18 inches.

Pyramid Frustum With Hexagonal Bases and 6 inch and 10 inch Sides

An illustration of a pyramid with the top cut off by a plane parallel to the base. The remaining part…

An illustration of a pyramid with the top cut off by a plane parallel to the base. The remaining part is called a frustum. This frustum has right triangular bases, one with 20 inch side and the other with a 30 inch side. Height is 27 inches.

Pyramid Frustum With Triangular Bases and Height of 27 inches

An illustration of a pyramid with the top cut off by a plane parallel to the base. The remaining part…

An illustration of a pyramid with the top cut off by a plane parallel to the base. The remaining part is called a frustum. This frustum has triangular bases with 14 inch sides. The other sides are 16 and 22 inches. The altitude is 24 inches.

Pyramid Frustum With Triangular Bases and Height of 27 inches

An illustration of a pyramid with the top cut off by a plane parallel to the base. The remaining part…

An illustration of a pyramid with a hexagonal base.

Pyramid With Hexagonal Base

An illustration of a pyramid with a hexagonal base.

Illustration of pentagonal pyramid used to show that the volume is equal to one third of the product of its base by its altitude.

Pentagonal Pyramid For Volume

Illustration of pentagonal pyramid used to show that the volume is equal to one third of the product…

An illustration of a regular pyramid with a square base and labels on lateral edge, slant height, altitude, and all corners.

Regular Pyramid With Square Base

An illustration of a regular pyramid with a square base and labels on lateral edge, slant height, altitude,…

An illustration of a pyramid with a triangular base.

Pyramid With Triangular Base

An illustration of a pyramid with a triangular base.

Illustration of triangular pyramid used to show that the volume is equal to one third of the product of its base by its altitude.

Triangular Pyramid For Volume

Illustration of triangular pyramid used to show that the volume is equal to one third of the product…

An illustration of a right triangle inscribed in a semicircle.

Right Triangle Inscribed In A Semicircle

An illustration of a right triangle inscribed in a semicircle.

Trapezoid with angles and height labeled.

Trapezoid

Trapezoid with angles and height labeled.

Illustration of a trapezoid with altitude a and bases b and b' used to demonstrate that the area is 1/2 the sum of the bases multiplied by the altitude.

Area of a Trapezoid

Illustration of a trapezoid with altitude a and bases b and b' used to demonstrate that the area is…

Trapezoid with dimensions labeled. Trapezoid can be used to calculate area.

Trapezoid With Dimensions

Trapezoid with dimensions labeled. Trapezoid can be used to calculate area.

Triangle with height/altitude h and median m.

Triangle With Height and Median

Triangle with height/altitude h and median m.

An illustration of an acute triangle with the height/altitude labeled h.

Acute Triangle

An illustration of an acute triangle with the height/altitude labeled h.

Illustration showing a triangle with an altitude CD passing through the middle of EF. Triangles AEC and BFC are isosceles.

Triangle With Altitude and Isosceles Triangles Within

Illustration showing a triangle with an altitude CD passing through the middle of EF. Triangles AEC…

Illustration to show altitudes drawn from base angles of an isosceles triangle.

Altitudes Drawn from Base Angles of Isosceles Triangles

Illustration to show altitudes drawn from base angles of an isosceles triangle.

Illustration used to show "The altitudes of a triangle are concurrent."

Altitudes In A Triangle

Illustration used to show "The altitudes of a triangle are concurrent."

Parallelogram illustration to show where the area of a triangle formula comes from.

Area of Triangle

Parallelogram illustration to show where the area of a triangle formula comes from.

Illustration of triangle ABC with altitude a and base b to be used to demonstrate that the area is 1/2ba.

Area of a Triangle

Illustration of triangle ABC with altitude a and base b to be used to demonstrate that the area is 1/2ba.

Triangle with dimensions labeled. Triangle can be used to calculate area.

Triangle With Dimensions

Triangle with dimensions labeled. Triangle can be used to calculate area.

Triangle with dimensions labeled. Triangle can be used to calculate area.

Triangle With Dimensions

Triangle with dimensions labeled. Triangle can be used to calculate area.

Sketch of equilateral triangle with bisectors, medians, and altitudes.

Equilateral Triangle

Sketch of equilateral triangle with bisectors, medians, and altitudes.

Obtuse triangle with altitude drawn.

Obtuse Triangle

Obtuse triangle with altitude drawn.

Obtuse triangle with altitude and one median drawn.

Obtuse Triangle

Obtuse triangle with altitude and one median drawn.

Triangle with sides a,b,c and height/altitude h.

Obtuse Triangle With Height Drawn

Triangle with sides a,b,c and height/altitude h.

An illustration of an obtuse triangle with the height/altitude labeled h.

Obtuse Triangle

An illustration of an obtuse triangle with the height/altitude labeled h.

Illustration to show altitudes in a triangle. It is known as the orthocenter.

Orthocenter of Triangle

Illustration to show altitudes in a triangle. It is known as the orthocenter.

Illustration used to show the various parts of a triangle: sides, angles, medians, altitudes, bisectors, and segments.

Parts Of A Triangle

Illustration used to show the various parts of a triangle: sides, angles, medians, altitudes, bisectors,…

Illustration to show the perpendiculars dropped from any point in the equilateral triangle to the three sides is constant, and equal to the altitude.

Perpendiculars Dropped Any Point in the Equilateral Triangle

Illustration to show the perpendiculars dropped from any point in the equilateral triangle to the three…

Right triangle with square

Right Triangle

Right triangle with square

Illustration of three isosceles triangles with the same base AC but varying heights (as B gets farther from the base).

3 Isosceles Triangles Wit Equal Bases

Illustration of three isosceles triangles with the same base AC but varying heights (as B gets farther…

Illustration that shows two similar triangles with altitudes drawn.

Similar Triangles With Altitudes Drawn

Illustration that shows two similar triangles with altitudes drawn.

Diagram used to prove the theorem: "The volume of a triangular prism is equal to the product of its base and its altitude."

Volume of Triangular Prism

Diagram used to prove the theorem: "The volume of a triangular prism is equal to the product of its…

Diagram used to prove the theorem: "The volume of a triangular pyramid is equal to one third of a triangular prism of the same base and altitude."

Volume of Triangular Pyramid

Diagram used to prove the theorem: "The volume of a triangular pyramid is equal to one third of a triangular…

Diagram used to prove the theorem: "Two triangular pyramids having equivalent bases and equal altitudes are equivalent."

Equivalent Triangular Pyramids

Diagram used to prove the theorem: "Two triangular pyramids having equivalent bases and equal altitudes…