geometry is everywhere by : laura gonzález solid figures are 3d figures that have length, width...

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Geometry is everywhere by : Laura González

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Page 1: Geometry is everywhere by : Laura González  Solid figures are 3D figures that have length, width and heigth.  For example :  Sphere Faces:0 Vertices:0

Geometry is everywhere

by : Laura González

Page 2: Geometry is everywhere by : Laura González  Solid figures are 3D figures that have length, width and heigth.  For example :  Sphere Faces:0 Vertices:0

SOLID FIGURES Solid figures are 3D figures that have

length, width and heigth. For example :

SphereFaces:0Vertices:0Edges:0

Page 3: Geometry is everywhere by : Laura González  Solid figures are 3D figures that have length, width and heigth.  For example :  Sphere Faces:0 Vertices:0

EXAMPLES OF SOLID FIGURES

Cube

Rectangular prism Faces:6Vertices:8Edges:12Conformed by:6 rectangles

Faces:6Vertices:8Edges:12Conformed by: 6 squares

This is a face it is a flat surface, you will found it in solids.

Page 4: Geometry is everywhere by : Laura González  Solid figures are 3D figures that have length, width and heigth.  For example :  Sphere Faces:0 Vertices:0

EXAMPLES OF SOLID FIGURES Triangular prism

Cylinder

Faces:5Vertices:6Edges:9Conformed by: 3rectangles and 2 triangles

Faces:2Vertices:0Edges:0Conformed by:2 circles and a curved surface

An edge is a line segment where 2 or more faces meet.

Page 5: Geometry is everywhere by : Laura González  Solid figures are 3D figures that have length, width and heigth.  For example :  Sphere Faces:0 Vertices:0

EXAMPLES OF SOLID FIGURES Cone

Square pyramid

Faces:1Vertices:1Edges:0Conformed by: 1circle and a curved surface

Faces:5Vertices:5Edges:8Conformed by: 4 triangles and a square

This is a vertex where 3 or more points meet

This is an equilateral triangle all sides are the same size.

Acute angle is the smallest,it has less than 90 degrees

Page 6: Geometry is everywhere by : Laura González  Solid figures are 3D figures that have length, width and heigth.  For example :  Sphere Faces:0 Vertices:0

POLYGONS Polygons are closed figures made up of

lines segments, they are also plane figures.

For example: Triangle

Vertices:3Sides:3

In a scalene triangle all sides have different lenght.

Page 7: Geometry is everywhere by : Laura González  Solid figures are 3D figures that have length, width and heigth.  For example :  Sphere Faces:0 Vertices:0

EXAMPLES OF POLYGONS Quadrilateral

Pentagon

Vertices:4Sides:4

Vertices:5Sides:5

Parallel lines never meet

A right angle is a square corner

It is a rectangle it have 4 right angles and is a poligon.

Page 8: Geometry is everywhere by : Laura González  Solid figures are 3D figures that have length, width and heigth.  For example :  Sphere Faces:0 Vertices:0

EXAMPLES OF POLYGONS Hexagon

Octagon

Vertices:8Sides:8

Vertices:6Sides:6

Intersecting lines allways cross

Straight angle forms a straight lines.

In this example if the red lines continuous they will Intersect.

Page 9: Geometry is everywhere by : Laura González  Solid figures are 3D figures that have length, width and heigth.  For example :  Sphere Faces:0 Vertices:0

CIRCLES Circles are closed and plane figures,

usually it have a center, a chord, a radius and a diameter

For example: CirclesThe chord is a

line segment that connects 2 points of a circle with out passing into the center

The diameter is a line segment that pass into the center and connect 2 points

The radious is a line segment that connects 1 point and the center

The center is a point in the middle of a circle whit the same distance everywhere

Page 10: Geometry is everywhere by : Laura González  Solid figures are 3D figures that have length, width and heigth.  For example :  Sphere Faces:0 Vertices:0

SYMMETRY Symmetry is when you divide something

and you get two congruent figures, each the same size.

For example:

Look this figure is congruent.

Look this figure, the sides are not congruent.

Page 11: Geometry is everywhere by : Laura González  Solid figures are 3D figures that have length, width and heigth.  For example :  Sphere Faces:0 Vertices:0

SIMILAR FIGURES Similar figures have the same shape

and may have diferent size.

Isosceles triangle have at least 2 sides whit the same length.

Page 12: Geometry is everywhere by : Laura González  Solid figures are 3D figures that have length, width and heigth.  For example :  Sphere Faces:0 Vertices:0

CONGRUENT FIGURES AND MOTIONS

Congruent figures and motion is when you slide, flip or turn a figure.

Slide:is when you move figure in a straight direction.

It is a square all sides have the same length and it have 4 right angles

Page 13: Geometry is everywhere by : Laura González  Solid figures are 3D figures that have length, width and heigth.  For example :  Sphere Faces:0 Vertices:0

SOME WAYS TO MOVE A FIGURE

Flip: its the reflection of a figure that gives its image like a mirror

Turn:make a figure move about a point.

It is a trapezoid have one pair of parallel lines.

Page 14: Geometry is everywhere by : Laura González  Solid figures are 3D figures that have length, width and heigth.  For example :  Sphere Faces:0 Vertices:0

LINES Lines go in 2 directions and it is a

straight path of points. For example

Intersecting lines

Obtuse angle is grater than 90 degrees

Page 15: Geometry is everywhere by : Laura González  Solid figures are 3D figures that have length, width and heigth.  For example :  Sphere Faces:0 Vertices:0

MORE LINES Perpendicular lines are lines that form

right angles

Line segment have 2 endpoints also is part of a line.

Page 16: Geometry is everywhere by : Laura González  Solid figures are 3D figures that have length, width and heigth.  For example :  Sphere Faces:0 Vertices:0

MORE LINES A ray

point

A point is an exact location in space

A ray is a part of a line, and it goes in 1 direction.

Page 17: Geometry is everywhere by : Laura González  Solid figures are 3D figures that have length, width and heigth.  For example :  Sphere Faces:0 Vertices:0

MORE LINES Angle

It is made by 2 rays whit the same endpoint.

Page 18: Geometry is everywhere by : Laura González  Solid figures are 3D figures that have length, width and heigth.  For example :  Sphere Faces:0 Vertices:0

Thank You!!!