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Objective: To describe properties of solid shapes such as perpendicular and parallel lines, faces and edges

Properties of 2_d_3d_shapes

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Page 1: Properties of 2_d_3d_shapes

Objective:

To describe properties of solid shapes

such as perpendicular and parallel lines, faces and edges

Page 2: Properties of 2_d_3d_shapes

PART 1SOLID SHAPES

Page 3: Properties of 2_d_3d_shapes

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.

Page 4: Properties of 2_d_3d_shapes

Three-dimensional Shapes (3D)

• These shapes are solid or hollow.

• They have three dimensions – length, width and height.

Page 5: Properties of 2_d_3d_shapes

Face

• Part of a shape that is flat.(Or curved)

• E.g. A cube has 6

of these.

Page 6: Properties of 2_d_3d_shapes

Edge• The line where two

faces meet.• E.g. A cube has 12 of

these.

Page 7: Properties of 2_d_3d_shapes

Vertex (Vertices)

• The place where three or more edges meet.

• This pyramid has 4 of these.

Page 8: Properties of 2_d_3d_shapes

Parallel• These type of lines

stay the same distance apart for their whole length. They do not need to be straight or the same length.

Page 9: Properties of 2_d_3d_shapes

Perpendicular• A line that is drawn in

a right angle to another line .

• In solid shapes edges could be at a right angle to one another.

• Faces could also be at right angles to one another.

Page 10: Properties of 2_d_3d_shapes

Cube• A three-dimensional

shape which has 6 square faces all the same size.

Some faces parallel

Some edges parallel

Some faces perpendicular

Some edges perpendicular

Page 11: Properties of 2_d_3d_shapes

Cuboid• A three-dimensional

shape which has 6 rectangular faces.

Some faces parallel

Some edges parallel

Some faces perpendicular

Some edges perpendicular

Page 12: Properties of 2_d_3d_shapes

Sphere• A perfectly round

three-dimensional shape, like a ball. It has only one curved face.

No perpendicular faces or edges

No parallel faces or edges

Page 13: Properties of 2_d_3d_shapes

Hemisphere• A three-dimensional

shape that is half a sphere.

No parallel faces or edges

No perpendicular faces or edges

Page 14: Properties of 2_d_3d_shapes

Cone• A three dimensional

shape with a circle at its base and a pointed vertex.

No perpendicular faces or edges

No parallel faces or edges

Page 15: Properties of 2_d_3d_shapes

Cylinder• A three-dimensional

shape with circular ends of equal size.

Some faces parallel

Some edges parallel

Some faces perpendicular

No edges perpendicular

Page 16: Properties of 2_d_3d_shapes

Pyramid• A three-dimensional

shape which has a polygon for its base and triangular faces which meet at one vertex.

•E.g. Triangular pyramid

• Square pyramid

• Hexagonal pyramid

• Pentagonal pyramid

Page 17: Properties of 2_d_3d_shapes

Square base pyramid

No faces perpendicular

Some edges perpendicular

No faces parallel

Some edges parallel

Page 18: Properties of 2_d_3d_shapes

Prism• A three dimensional

shape that has the same cross-section all along its length.

Page 19: Properties of 2_d_3d_shapes

Written task

CubeCuboid

ConeSquare based- Pyramid

SphereHemispere

SOME PERPENDICULAR FACES

NO PERPENDICULAR FACES

SOME PARALLEL FACES NO PARALLEL FACES

Page 20: Properties of 2_d_3d_shapes

Written task

CubeCuboid

Square-based pyramid

SphereHemisphere

Cone

SOME PERPENDICULAR EDGES

NO PERPENDICULAR EDGES

SOME PARALLEL EDGES NO PARALLEL EDGES

Page 21: Properties of 2_d_3d_shapes

PART 2

PLANE SHAPES

Page 22: Properties of 2_d_3d_shapes

PolygonsTwo-dimensional shapes

that have sides made from straight lines.

• E.g. triangles

squares

hexagons

Page 23: Properties of 2_d_3d_shapes

Quadrilaterals• Any two-dimensional

shapes with four straight sides.

• E.g. square

rhombus

rectangle

trapezium

kite

Page 24: Properties of 2_d_3d_shapes

Rectangle• A four sided two-

dimensional shape with two pairs of parallel sides that meet at right angles.

Page 25: Properties of 2_d_3d_shapes

Kite• A two-dimensional

shape with two shorter sides of equal length and two longer sides of equal length.

Page 26: Properties of 2_d_3d_shapes

Rhombus• A two-dimensional

four sided shape with opposite sides that are parallel and all the sides are the same length.

Page 27: Properties of 2_d_3d_shapes

Trapezium• A two-dimensional

shape with four sides.One pair of sides is parallel with one side longer than the other.

Page 28: Properties of 2_d_3d_shapes

Pentagon• A two-dimensional

shape with five straight sides and five angles.

Page 29: Properties of 2_d_3d_shapes

Hexagon• A two-dimensional

shape with 6 straight sides and 6 angles.

Page 30: Properties of 2_d_3d_shapes

Octagon• A two-dimensional

shape with 8 straight sides and 8 angles.

Page 31: Properties of 2_d_3d_shapes

What do we call a shape with:7 Sides?9 Sides?

10 Sides?

Page 32: Properties of 2_d_3d_shapes

Circle• A round flat two-

dimensional shape.

Page 33: Properties of 2_d_3d_shapes

Square• Two dimensional

shape with 4 sides of the same length and 4 90° angles.

Page 34: Properties of 2_d_3d_shapes

Triangle• Two-dimensional

shape with three straight sides and three angles.

• Can you name 4 different kinds?