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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.

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**Solid A shape you can hold (3D). A solid has length, width and height.**

Examples: Cube Cylinder Sphere Cone Prism

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**Surface The curved part of a 3D shape.**

Cylinders and cones have surfaces.

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

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Base The bottom face of a 3D object. Base

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**Edge The line where two faces meet on a 3D object.**

Example: A cube has 12 edges.

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**Corner The point where three or more edges touch.**

This cube has 12 corners all together.

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**Vertex (Vertices) The point where three or more edges meet.**

This cube has 12 vertices all together.

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**Cube A 3D shape (you can hold it). It has 6 equal square faces.**

Cubes in daily life: A box Blocks Dice

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**Cube A three-dimensional shape which has:**

6 square faces all the same size 12 edges 8 corners

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**Cube A three-dimensional shape which has:**

6 square faces all the same size 12 edges 8 vertices

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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

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**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

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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

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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

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**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

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**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.

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**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.

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**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

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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.

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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.

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

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**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

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**Rectangular Prism A 3D shape that has: 6 rectangular faces 12 edges**

2 of those faces are equal 12 edges 8 corners

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**Rectangular Prism A 3D shape that has: 6 rectangular faces 12 edges**

2 of those faces are equal 12 edges 8 vertices

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**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

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**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.

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**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.

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

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

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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

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

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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

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

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Rhombus A 2D shape with four sides.

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**Rhombus A 2D, four-sided shape with opposite sides that are parallel.**

All the sides are the same length.

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**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.

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**Trapezoid A 2D shape (polygon) with four sides.**

One pair of sides is parallel.

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**Trapezoid A 2D shape (polygon) with four sides.**

One pair of sides is parallel.

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

A Clock

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**Semicircle A 2D shape that is exactly half of a circle.**

Semicircles in daily life: Half of a pie Half of a pizza

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**Square 2D shape with 4 equal sides and 4 corners**

Squares in daily life: A Window Some Floor Tiles Some Ceiling Tiles

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

Opposite sides are parallel.

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

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

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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

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

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

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**Line An infinitely long, thin, two-dimensional mark**

It has no endpoints.

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**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.

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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.

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Intersecting Crossing over one another. These lines are intersecting.

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**Line Segment A section of line bounded by two endpoints.**

A line segment is not continuous.

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Point A single position in space (dot).

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Distance The length between two points or objects. A B

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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).

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

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Acute Angle An angle that measures less than 90 degrees.

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Right Angle An angle whose measure is exactly 90 degrees.

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

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**Straight Angle An angle whose measure is exactly 180 degrees.**

A straight line.

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Interior Angles Any angle inside a polygon.

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

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

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Isosceles Triangle A triangle with equal sides and 2 equal angles

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

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

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

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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.

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**Symmetrical Not Symmetrical**

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