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Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a medium house.

Medium House

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a mocking bird.

Mocking Bird

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a mocking bird.

Mocking Bird

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a mocking bird.

Mocking Bird

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a mocking bird.

Mocking Bird

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a mountain.

Mountain

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a mountain.

Mountain

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a mountain.

Mountain

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a mountain.

Mountain

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Illustration of a regular octagon circumscribed about a square. This could also be described as a square inscribed in a regular octagon.

Octagon Circumscribed About a Square

Illustration of a regular octagon circumscribed about a square. This could also be described as a square…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a palm tree.

Palm Tree

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a palm tree.

Palm Tree

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a palm tree.

Palm Tree

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a palm tree.

Palm Tree

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Parallelogram with angles labeled.

Parallelogram

Parallelogram with angles labeled.

Illustration of a parallelogram, a quadrilateral which has opposite sides parallel.

Parallelogram

Illustration of a parallelogram, a quadrilateral which has opposite sides parallel.

An illustration of a parallelogram with vertices labeled.

Parallelogram With Vertices Labeled

An illustration of a parallelogram with vertices labeled.

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a parallelogram.

Parallelogram

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a parallelogram.

Parallelogram

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a parallelogram.

Parallelogram

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a parallelogram.

Parallelogram

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

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 a how to construct a square equivalent to a given parallelogram.

Parallelogram Used to Construct Equivalent Square

Illustration of a how to construct a square equivalent to a given parallelogram.

Illustration of a parallelogram with diagonals drawn to show they bisect each other.

Parallelogram With Diagonals Bisecting Each Other

Illustration of a parallelogram with diagonals drawn to show they bisect each other.

Illustration to show that when lines from two opposite vertices of a parallelogram to the midpoints of the opposite sides are drawn, they trisect the diagonal.

Parallelogram With Lines From opposite Vertices to Midpoints

Illustration to show that when lines from two opposite vertices of a parallelogram to the midpoints…

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 of a two equal parallelograms. Two parallelograms are equal, if two sides and the included angle of the one are equal, respectively, to two sides and the included angle of the other.

Equal Parallelograms

Illustration of a two equal parallelograms. Two parallelograms are equal, if two sides and the included…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a parrot fish.

Parrot Fish

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a parrot fish.

Parrot Fish

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a parrot fish.

Parrot Fish

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a parrot fish.

Parrot Fish

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Polygon consisting of 4 sides

4-sided Polygon

Polygon consisting of 4 sides

Illustration of a concave polygon. A concave polygon is a polygon of which tow or more sides, if produced, will enter the polygon.

Concave Polygon

Illustration of a concave polygon. A concave polygon is a polygon of which tow or more sides, if produced,…

Illustration of a convex polygon. A polygon is convex when no side when produced will enter the polygon.

Convex Polygon

Illustration of a convex polygon. A polygon is convex when no side when produced will enter the polygon.

Illustration of a polygon with a diagonal drawn. A diagonal of a polygon is a line joining the vertices of two angles not adjacent (AC).

Polygon With Diagonal

Illustration of a polygon with a diagonal drawn. A diagonal of a polygon is a line joining the vertices…

1/4 of a 4 sided polygon

Fractions of 4-sided Polygon

1/4 of a 4 sided polygon

2/4 of a 4 sided polygon

Fractions of 4-sided Polygon

2/4 of a 4 sided polygon

3/4 of a 4 sided polygon

Fractions of 4-sided Polygon

3/4 of a 4 sided polygon

4/4 of a 4 sided polygon

Fractions of 4-sided Polygon

4/4 of a 4 sided polygon

4/4 of a 4 sided polygon with one piece detached

Fractions of 4-sided Polygon

4/4 of a 4 sided polygon with one piece detached

Quadrilateral polygon with diagonal drawn.

Quadrilateral Polygon

Quadrilateral polygon with diagonal drawn.

Illustration of a two polygons. Polygons may be mutually equiangular without being mutually equilateral.

Equiangular Polygons

Illustration of a two polygons. Polygons may be mutually equiangular without being mutually equilateral.

Illustration of two polygons. Polygons may be mutually equilateral without being mutually equiangular (except for triangles).

Equilateral Polygons

Illustration of two polygons. Polygons may be mutually equilateral without being mutually equiangular…

Illustration of a polygon with exterior angles drawn.

Exterior Angles of Polygons

Illustration of a polygon with exterior angles drawn.

Illustration of a polygon with interior angles drawn.

Interior Angles of Polygons

Illustration of a polygon with interior angles drawn.

Illustration of a right rectangular prism with the height greater than the length and width. The bases are congruent rectangles and the opposite faces are congruent rectangles. The hidden edges are shown.

Right Rectangular Prism

Illustration of a right rectangular prism with the height greater than the length and width. The bases…

Illustration of a right rectangular prism. The bases are congruent rectangles and the opposite faces are congruent rectangles. The hidden edges are shown.

Right Rectangular Prism

Illustration of a right rectangular prism. The bases are congruent rectangles and the opposite faces…

Illustration of a right rectangular prism that is viewed at an angle. The bases are congruent rectangles and the opposite faces are congruent rectangles. The hidden edges are shown.

Right Rectangular Prism

Illustration of a right rectangular prism that is viewed at an angle. The bases are congruent rectangles…

Illustration of a right rectangular prism that is viewed at an angle. The bases are congruent rectangles and the opposite faces are congruent rectangles. The hidden edges are shown.

Right Rectangular Prism

Illustration of a right rectangular prism that is viewed at an angle. The bases are congruent rectangles…

Illustration of a right rectangular prism. The bases are congruent rectangles and the opposite faces are congruent rectangles.

Right Rectangular Prism

Illustration of a right rectangular prism. The bases are congruent rectangles and the opposite faces…

Illustration of a right rectangular prism with the height greater than the length and width. The bases are congruent rectangles and the opposite faces are congruent rectangles.

Right Rectangular Prism

Illustration of a right rectangular prism with the height greater than the length and width. The bases…

An illustration of a prismatoid with faces that are quadrilaterals.

Prismatoid With Quadrilateral Faces

An illustration of a prismatoid with faces that are quadrilaterals.

Illustration of 2 right rectangular prisms. The bases are congruent, but the height of the smaller prism is one half that of the larger. Hidden edges are shown.

2 Rectangular Prisms

Illustration of 2 right rectangular prisms. The bases are congruent, but the height of the smaller prism…

Illustration of 2 right rectangular prisms. The bases are congruent, but the height of the smaller prism is one half that of the larger.

2 Rectangular Prisms

Illustration of 2 right rectangular prisms. The bases are congruent, but the height of the smaller prism…

Illustration of 4 congruent rectangular prisms placed in the shape of a square. They are arranged to look like they are 3-dimensional rectangular solids coming out of the page.

4 Congruent Rectangular Prisms

Illustration of 4 congruent rectangular prisms placed in the shape of a square. They are arranged to…

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the faces are isosceles triangles.

Rectangular Pyramid

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the…

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the faces are isosceles triangles. The height of the pyramid is much larger then the length and width of the base.

Rectangular Pyramid

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the…

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the faces are isosceles triangles.

Rectangular Pyramid

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the…

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the faces are isosceles triangles.

Rectangular Pyramid

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the…

Illustration of a non-right, or skewed, rectangular pyramid with hidden edges shown. The base is a rectangle and the faces are isosceles triangles.

Skewed Rectangular Pyramid

Illustration of a non-right, or skewed, rectangular pyramid with hidden edges shown. The base is a rectangle…