Angle Relationships and Triangles

Angle Relationships and Triangles

Learning Objectives:

Understand and apply Angle Relationships and Triangles.

Angle Relationships and Triangles

Vertical Angles:

Vertical Angles are the angles opposite each other when two lines cross. They are called Vertical because they share the same Vertex (or corner point). Vertical Angles have equal measure.

Triangle:

A Triangle is a 3 sided Polygon. This means a triangle has 3 sides, all of which are straight line segments.

There are various types of triangle based upon the characteristics of the triangle are as follows:

1.     Equilateral Triangle: A triangle with 3 equal sides and 3 congruent angles is an Equilateral Triangle.

2.     Isosceles Triangle: A triangle with 2 equal sides and 2 equal angles is Isosceles Triangle.

3.     Scalene Triangle: A triangle with no pairs of equal sides is Scalene Triangle.

4.     Right Triangle: A triangle with one 90 degree angle is a Right Triangle.

5.     Acute Triangle: A triangle in which all 3 angles measure less than 90 degree is an Acute Triangle.

6.     Obtuse Triangle: A triangle in which one angle is greater than 90 degrees is an Obtuse Triangle.

Measure of Angles of a Triangle:

The sum of the measures of the angles of any triangle is 180 degrees.

 

 

 

Hook questions:

1.      What are the Vertical Angles? Why are they called so?

2.      What are the different types of Triangles based on sides and angles? Define all the types.

 

 

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