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Silhouette outlines of animals (bear, kangaroo, camel, giraffe) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Animals Silhouette Tangram Card

Silhouette outlines of animals (bear, kangaroo, camel, giraffe) made from tangram pieces. Tangrams,…

Silhouette outlines of animals (fox, rabbit, cat) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Animals Silhouette Tangram Card #2

Silhouette outlines of animals (fox, rabbit, cat) made from tangram pieces. Tangrams, invented by the…

Silhouette outlines of birds (duck, swan, turkey vulture, cormorant, and egret) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Birds Silhouette Tangram Card

Silhouette outlines of birds (duck, swan, turkey vulture, cormorant, and egret) made from tangram pieces.…

Silhouette outlines of boats (sailboat, ship, yacht) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Boats Silhouette Tangram Card

Silhouette outlines of boats (sailboat, ship, yacht) made from tangram pieces. Tangrams, invented by…

Silhouette outlines of buildings (house, lighthouse) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Buildings Silhouette Tangram Card

Silhouette outlines of buildings (house, lighthouse) made from tangram pieces. Tangrams, invented by…

Silhouette outlines of fish (shark, parrot fish, angelfish, flounder, hogfish, beta) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Fish Silhouette Tangram Card

Silhouette outlines of fish (shark, parrot fish, angelfish, flounder, hogfish, beta) made from tangram…

Silhouette outlines of Florida birds (seagull, mocking bird, egret, flamingo, turkey vulture, cormorant) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Florida Birds Silhouette Tangram Card

Silhouette outlines of Florida birds (seagull, mocking bird, egret, flamingo, turkey vulture, cormorant)…

Silhouette outlines of household items (iron, pipe, kettle, cup, candle, hammer) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Household Items Silhouette Tangram Card

Silhouette outlines of household items (iron, pipe, kettle, cup, candle, hammer) made from tangram pieces.…

Silhouette outlines of people (runners) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Tangram Card

Silhouette outlines of people (runners) made from tangram pieces. Tangrams, invented by the Chinese,…

Silhouette outlines of people (runners, dancers) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Tangram Card #2

Silhouette outlines of people (runners, dancers) made from tangram pieces. Tangrams, invented by the…

Silhouette outlines of people (woman standing, water skier, woman kneeling, man walking) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Tangram Card #3

Silhouette outlines of people (woman standing, water skier, woman kneeling, man walking) made from tangram…

Silhouette outlines of people (swimmer, reclining man, butler, diver) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Tangram Card #4

Silhouette outlines of people (swimmer, reclining man, butler, diver) made from tangram pieces. Tangrams,…

Silhouette outlines of people (ice skater, saint statue, walking man, reclining man) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Tangram Card #5

Silhouette outlines of people (ice skater, saint statue, walking man, reclining man) made from tangram…

Silhouette outlines of people (silhouettes of men) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Tangram Card #6

Silhouette outlines of people (silhouettes of men) made from tangram pieces. Tangrams, invented by the…

Silhouette outlines of sea animals (sea monster, dolphin, sea turtle, stingray) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Sea Animals Silhouette Tangram Card

Silhouette outlines of sea animals (sea monster, dolphin, sea turtle, stingray) made from tangram pieces.…

Silhouette outlines of shapes (rectangle, parallelogram, isosceles triangle, double arrow, rhombus, hexagon) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Shapes Silhouette Tangram Card

Silhouette outlines of shapes (rectangle, parallelogram, isosceles triangle, double arrow, rhombus,…

Illustration showing the correct and incorrect position of a right line pen against a T-square, triangle, or straight edge when doing geometric constructions.

Positioning Pen for Constructions

Illustration showing the correct and incorrect position of a right line pen against a T-square, triangle,…

Illustration used to show how to divide a line into any number of equal parts by construction.

Construction Used to Divide a Line Into Equal Parts

Illustration used to show how to divide a line into any number of equal parts by construction.

Illustration used to construct an equilateral triangle on a given base.

Construction of an Equilateral Triangle

Illustration used to construct an equilateral triangle on a given base.

Illustration used to construct a triangle given the length of the base and the two base angles.

Construction of Triangle Given Angles and Base

Illustration used to construct a triangle given the length of the base and the two base angles.

Illustration used to construct a circle when given three points.

Construction of Circle Given 3 Points

Illustration used to construct a circle when given three points.

Illustration used to draw a tangent to a circle.

Construction of Tangent to a Circle

Illustration used to draw a tangent to a circle.

Illustration used to find the center of a circle.

Center of a Circle

Illustration used to find the center of a circle.

Illustration used to draw lines which are radii of a circle where the center is inaccessible.

Construction of Radii of a Circle

Illustration used to draw lines which are radii of a circle where the center is inaccessible.

Illustration used to construct and oval when given the width.

Construction of Oval

Illustration used to construct and oval when given the width.

Illustration used to construct a square on a given line.

Construction of Square on Given Line

Illustration used to construct a square on a given line.

Illustration used to construct a square that shall be a multiple of any given square.

Construction of Multiple of a Square

Illustration used to construct a square that shall be a multiple of any given square.

Illustration used to construct a square that shall be in proportion to a given square.

Construction of Proportional Square

Illustration used to construct a square that shall be in proportion to a given square.

Illustration used to construct a square that shall be in proportion to a given square.

Construction of Proportional Square

Illustration used to construct a square that shall be in proportion to a given square.

Illustration used to construct a regular pentagon on a given line.

Construction of Regular Pentagon

Illustration used to construct a regular pentagon on a given line.

Illustration used to construct a regular hexagon on a given line.

Construction of Regular Hexagon

Illustration used to construct a regular hexagon on a given line.

Illustration used to draw a parabola when given the base and height.

Construction of Parabola Given Base and Height

Illustration used to draw a parabola when given the base and height.

Illustration used to draw a an ellipse using string and pins.

Construction of Ellipse Using String

Illustration used to draw a an ellipse using string and pins.

Illustration used to draw a an ellipse using string and pins by describing a circles with diameters equal to the minor and major axes of the ellipse.

Construction of Ellipse by Describing Circles

Illustration used to draw a an ellipse using string and pins by describing a circles with diameters…

Illustration used to draw a an ellipse with major axis AB and minor axis CD.

Construction of Ellipse

Illustration used to draw a an ellipse with major axis AB and minor axis CD.

"A piece of a parallelogram left after a similar parallelogram has been removed from a corner of it. Thus, in the figure, EFGBCD is a gnomon." -Whitney, 1911

Gnomon

"A piece of a parallelogram left after a similar parallelogram has been removed from a corner of it.…

Illustration used to prove "Two angles whose sides are perpendicular each to each are either equal or supplementary."

Angles With Perpendicular Sides Are Equal or Supplementary Proof

Illustration used to prove "Two angles whose sides are perpendicular each to each are either equal or…

Illustration used to prove "An exterior angle of a triangle is equal to the sum of the two remote interior angles."

Exterior Angle Proof

Illustration used to prove "An exterior angle of a triangle is equal to the sum of the two remote interior…

Illustration used to prove "The sum of all the angles of any polygon is twice as many right angles as the polygon has sides, less four right angles."

Sum of Interior Angles of a Polygon Proof

Illustration used to prove "The sum of all the angles of any polygon is twice as many right angles as…

Illustration used to prove "If the sides of any polygon are prolonged in succession one way, no two adjacent sides being prolonged through the same vertex, the sum of the exterior angles thus formed is four right angles."

Sum of Exterior Angles of a Polygon Proof

Illustration used to prove "If the sides of any polygon are prolonged in succession one way, no two…

Illustration of a design made by 7 hexagons with adjacent sides.

Design Consisting of 7 Hexagons

Illustration of a design made by 7 hexagons with adjacent sides.

Illustration of a large hexagon with an interior design made by 7 hexagons with adjacent sides.

Large Hexagon Design Consisting of 7 Hexagons

Illustration of a large hexagon with an interior design made by 7 hexagons with adjacent sides.

Illustration of a figure that is made up of 4 octagons with 5 squares (diamonds).

Design Consisting of Octagons and Squares

Illustration of a figure that is made up of 4 octagons with 5 squares (diamonds).

Illustration of a parallelogram with diagonals AC and BD intersecting at point O.

Parallelogram With Diagonals

Illustration of a parallelogram with diagonals AC and BD intersecting at point O.

Illustration used to prove the theorem "Two parallelograms are equal if two sides and the included angle of one are equal respectively to two sides and the included angle of the other."

2 Equal Parallelograms

Illustration used to prove the theorem "Two parallelograms are equal if two sides and the included angle…

Illustration used to prove the theorem "If three or more parallel lines intercept equal segments on one transversal, they intercept equal segments on any other transversal."

4 Parallel Lines Cut By 2 Transversals

Illustration used to prove the theorem "If three or more parallel lines intercept equal segments on…

Illustration used to prove the theorem "The line bisecting one of the non parallel sides of a trapezoid and parallel to the bases bisects the other of the non parallel sides also."

Line Bisecting Trapezoid Sides

Illustration used to prove the theorem "The line bisecting one of the non parallel sides of a trapezoid…

Illustration used to prove "The line bisecting one side of a triangle and parallel to another side bisects the third side."

Line Bisecting Side of a Triangle

Illustration used to prove "The line bisecting one side of a triangle and parallel to another side bisects…

Illustration used to prove "The line joining the mid-points of two sides of a triangle is parallel to the third side and equal to one half the third side."

Line Joining Midpoints on a Triangle

Illustration used to prove "The line joining the mid-points of two sides of a triangle is parallel to…

Illustration used to show how to divide a given straight line into any number of equal parts.

Line Divided Into Equal Parts

Illustration used to show how to divide a given straight line into any number of equal parts.

Illustration used to show "The two perpendiculars to the sides of an angle from any point in its bisector are equal."

Perpendiculars To The Sides Of An Angle

Illustration used to show "The two perpendiculars to the sides of an angle from any point in its bisector…

Illustration used to show "The two perpendiculars to the sides of an angle from any point not in its bisector are unequal."

Perpendiculars To The Sides Of An Angle

Illustration used to show "The two perpendiculars to the sides of an angle from any point not in its…

Illustration used to prove "The bisectors of the angles of a triangle are concurrent in a point which is equidistant from the three sides of the triangle."

Angle Bisectors In A Triangle

Illustration used to prove "The bisectors of the angles of a triangle are concurrent in a point which…

Illustration used to prove "The perpendicular bisectors of the sides of a triangle are concurrent in a point which is equidistant from the three vertices of the triangle."

Perpendicular Bisectors In A Triangle

Illustration used to prove "The perpendicular bisectors of the sides of a triangle are concurrent in…

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."

Illustration used to show "Any two medians of a triangle intersect each other in a trisection point of each."

Medians In A Triangle

Illustration used to show "Any two medians of a triangle intersect each other in a trisection point…

Illustration used to show "If one acute angle of a right triangle is double the other, the hypotenuse is double the shorter side."

Relationships In A Right Triangle

Illustration used to show "If one acute angle of a right triangle is double the other, the hypotenuse…

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 of a circle with radius QR.

Radius of a Circle

Illustration of a circle with radius QR.

Illustration of a circle with diameter BC, chord DF, secant MN, and tangent HK.

Chords, Secants, Diameters, and Tangents of a Circle

Illustration of a circle with diameter BC, chord DF, secant MN, and tangent HK.