GEOMETRY. BASIC TERMS

• Endpoint (punto)                    

−      A point is the place where two lines intersect.

−      In geometry, a point has no dimension

−      We represent a point with a dot.

−      We identify this point with a CAPITAL letter.

• Line (línea)

−        A line is made up of infinite points.

−        It has not endpoints and continues endlessly on a plane. 

−        These lines are named with small letters such r ,s, t...

• Ray (semirrecta)

−      A ray is a "straight" line that begins at a certain point and extends forever in one direction.

−      The point where the ray begins is known as its endpoint.

• Line segment (segmento)

−        A line segment is a portion of a "straight" line.

−        A line segment does not extend forever, but has two endpoints.

−      The point halfway between the endpoints of a line segment is called the midpoint.  A midpoint divides a line segment into two equal segments.

• Intersection

−        The term intersect is used when lines, ray lines or segments share a common point.

−        The point they share is called the point of intersection.

 

You  can find here a funny introductory video about the origins and basis of Geometry.

 And here you can find a video explaining the differences between line, line segment and ray.

Welcome to your Visual Arts Blog

Dear Students,

A new school year has just started and I will be your Visual Arts teacher. I hope you will enjoy creating different projects related to this subject. 

I will use this blog to post information related to our classes, as a tool to help you understand the contents and activities explained in class. We will also use it as an Art Gallery to show your Works of Art, and anything you might find interesting. 

Welcome to your Visual Arts Blog!

1st ESO PROJECTS

The 1st ESO students work in groups each week to present a project. They develop a creative and original idea and they show to their mates how to do it. 

This last week Elsa and Nora did a great job with this video where they show how to make a finish star. I hope you will enjoy it!

Triangles

 Definition

A triangle is a closed figure consisting of three line segments linked end-to-end. A triangle has three sides and three angles.

Triangle properties 

Vertex	The vertex (plural: vertices) is a corner of the triangle. Every triangle has three vertices.
Base	The base of a triangle can be any one of the three sides, usually the one drawn at the bottom.
Perimeter	The distance around the triangle. The sum of its sides.
Interior angles	The three angles on the inside of the triangle at each vertex.
Exterior angles	The angle between a side of a triangle and the extension of an adjacent side.
Altitude or height	The altitude of a triangle is the perpendicular from one side to the opposite vertex. The three altitudes intersect at a single point, called the orthocenter of the triangle.
Median	The median of a triangle is a line from a vertex to the midpoint of the opposite side.Thethree medians intersect at a single point, called the centroid of the triangle.
Circumcenter	The circumcenter (circuncentro) is the point of intersection of the three perpendicular bisectors of the sides. The circumcenter is also the center of the triangle's circumcircle (circunferencia circunscrita) - the circumference that passes through all three of the triangle's vertex.
Incenter	The point of intersection of the three angles bisector is the incenter (Incentro). The incenter is also the center of the triangle's incircle (circunferencia inscrita)- the largest circle that will fit inside the triangle.

 Also:

1. The shortest side is always opposite the smallest interior angle
2. The longest side is always opposite the largest interior angle

 Properties of all triangles

• The interior angles of a triangle always add up to 180°
• The exterior angles of a triangle always add up to 360°

 Terminology

It is usual to name each vertex of a triangle with a single capital (upper-case) letter. The sides can be named with a single small (lower case) letter, and named after the opposite angle.

Classification of triangles

From: http://www.mathopenref.com/triangle.html