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.


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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