Three-dimensional Shapes (3D)

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Three-dimensional Shapes (3D)
These shapes are solid or hollow, you could hold them in your hand. They have three dimensions: length, width and height.

Solid A shape you can hold (3D). A solid has length, width and height.
Examples: Cube Cylinder Sphere Cone Prism

Surface The curved part of a 3D shape.
Cylinders and cones have surfaces.

Face Part of a 3D shape that is flat. Example: A cube has 6 faces.

Base The bottom face of a 3D object. Base

Edge The line where two faces meet on a 3D object.
Example: A cube has 12 edges.

Corner The point where three or more edges touch.
This cube has 12 corners all together.

Vertex (Vertices) The point where three or more edges meet.
This cube has 12 vertices all together.

Cube A 3D shape (you can hold it). It has 6 equal square faces.
Cubes in daily life: A box Blocks Dice

Cube A three-dimensional shape which has:
6 square faces all the same size 12 edges 8 corners

Cube A three-dimensional shape which has:
6 square faces all the same size 12 edges 8 vertices

Cube A three-dimensional shape which has 6 square faces all the same size, 12 edges and 8 vertices. Some faces parallel Some edges parallel Some faces perpendicular Some edges perpendicular

Sphere A 3D shape (you can hold it) that can roll.
A Sphere has no corners or edges Spheres in daily life: A Ball A Globe A Marble

Sphere A perfectly round three-dimensional shape, like a ball. It has only one curved surface. A sphere has 0 faces 0 edges 0 corners

Sphere A perfectly round three-dimensional shape, like a ball. It has only one curved surface. A sphere has 0 faces 0 edges 0 vertices

Cone A 3D shape (you can hold it) that can roll.
A Cone has a circle at its base and a curved surface that comes to a point at its top (vertex). Cones in daily life: Ice Cream Cone A Party Hat

Cone A three-dimensional shape made up of:
a circular base a curved surface that comes to a point at the top (vertex). A Cone has 0 edges and 0 corners.

Cone A three-dimensional shape made up of:
a circular base a curved surface that comes to a point at the top (vertex). A Cone has 0 edges and 0 vertices.

Cylinder A 3D shape (you can hold it) that can roll.
A Cylinder has 2 equal circles on its ends. Cylinders in daily life: A Soup Can A Roll of Toilet Paper

Cylinder A three-dimensional shape with one curved surface and 2 equal circles on its ends. A Cylinder has 2 faces, 1 surface, 0 edges and 0 corners.

Cylinder A three-dimensional shape with one curved surface and 2 equal circles on its ends. A Cylinder has 2 faces, 1 surface, 0 edges and 0 vertices.

Pyramid A three-dimensional shape which has a polygon for its base and triangular faces which meet at one point (vertex).

Rectangular Prism A 3D shape (you can hold it).
It has 6 rectangular faces. Cubes in daily life: A Kleenex Box A Refrigerator A Cereal Box

Rectangular Prism A 3D shape that has: 6 rectangular faces 12 edges
2 of those faces are equal 12 edges 8 corners

Rectangular Prism A 3D shape that has: 6 rectangular faces 12 edges
2 of those faces are equal 12 edges 8 vertices

Rectangular Prism A 3D shape that has: 6 rectangular faces
2 of those faces are equal 12 edges 8 vertices Some faces are parallel Some edges are parallel Some faces are perpendicular Some edges are perpendicular

Two-Dimensional Shapes (2D)
These shapes are flat and can only be drawn on paper. They have two dimensions: length and width. They are sometimes called plane shapes.

Sides The lines you can trace and count on the outside of a 2D shape.
Example: A triangle has 3 sides. A square has 4.

Polygons Two-dimensional shapes that have three or more sides made from straight lines. Examples: triangles squares rectangles

Quadrilaterals Any two-dimensional shapes (polygon) with 4 straight sides and 4 angles Ex. rhombus kite rectangle trapezoid square

Quadrilaterals Any two-dimensional shapes (polygon) with 4 straight sides and 4 angles The interior angles of a Quadrilateral add up to 360 degrees. Ex. rhombus kite rectangle trapezoid square

Parallelogram A quadrilateral with parallel opposite sides of equal length. Opposite angles are equal.

Rectangle A 2D shape with 4 corners and 2 pairs of opposite, equal, parallel sides. Rectangles in daily life: A Door A Piece of Paper

Rectangle A 2D shape with 4 corners and 2 pairs of opposite, equal, parallel sides. The sides meet at right angles.

Rhombus A 2D shape with four sides.

Rhombus A 2D, four-sided shape with opposite sides that are parallel.
All the sides are the same length.

Rhombus A 2D, four-sided shape with opposite sides that are parallel.
All the sides are the same length. Diagonals of a Rhombus bisect each other at right angles.

Trapezoid A 2D shape (polygon) with four sides.
One pair of sides is parallel.

Trapezoid A 2D shape (polygon) with four sides.
One pair of sides is parallel.

Circle A 2D shape with no corners or edges. Circles in daily life:
A Clock

Semicircle A 2D shape that is exactly half of a circle.
Semicircles in daily life: Half of a pie Half of a pizza

Square 2D shape with 4 equal sides and 4 corners
Squares in daily life: A Window Some Floor Tiles Some Ceiling Tiles

Square 2D shape (polygon) with 4 equal sides and 4 right (90°) angles.
Opposite sides are parallel.

Triangle Two-dimensional shape with three straight sides and three corners. Triangles in daily life: The front of a tent

Triangle Two-dimensional shape (polygon) with three straight sides and three angles. There are isosceles triangles, right triangles equilateral triangles scalene triangles

Triangle Two-dimensional shape (polygon) with three straight sides and three angles. The interior angles of a triangle add up to 180 degrees. There are isosceles triangles, right triangles equilateral triangles scalene triangles

Patterns A repeating design. Examples: A B A A B Growing

Line A long, thin mark that continues forever. It has no endpoints.

Line An infinitely long, thin, two-dimensional mark
It has no endpoints.

Parallel Lines that are the same distance apart from each other.
These type of lines stay the same distance apart for their whole length. They do not need to be straight or the same length. They never intersect.

Perpendicular Lines that intersect at a perfect right angle (90º) to one another. In solid shapes, edges could be at a right angle to one another. Faces could also be at right angles to one another.

Intersecting Crossing over one another. These lines are intersecting.

Line Segment A section of line bounded by two endpoints.
A line segment is not continuous.

Point A single position in space (dot).

Distance The length between two points or objects. A B

Angles A shape formed by two lines or rays that extend from a common point (vertex). The amount of turning between two lines that meet at a common point (vertex).

Vertex (angles) The common point between two or more rays or line segments.

Acute Angle An angle that measures less than 90 degrees.

Right Angle An angle whose measure is exactly 90 degrees.

Obtuse Angle An angle whose measure is more than 90 degrees.

Straight Angle An angle whose measure is exactly 180 degrees.
A straight line.

Interior Angles Any angle inside a polygon.

Congruent Two figures are congruent if they have the same shape and size. Two angles are congruent if they have the same measure.

Vertical Angles A pair of angles directly opposite each other formed by the intersection of straight lines. Vertical angels are congruent (equal).

Isosceles Triangle A triangle with equal sides and 2 equal angles

Equilateral Triangle A triangle with equal sides and 3 equal angles.

Right Triangle A triangle with one right angle (90 degrees).

Scalene Triangles A triangle with 3 different side lengths and 3 different angle measures.

Symmetry An object is symmetrical when you can fold it in half and the two halves are congruent. One half is a mirror image of the other.

Symmetrical Not Symmetrical