What is the definition of "vertices"?
The plural term for vertex.

Shop Essentials Training

Class Information
 Tooling U classes are offered at the beginner, intermediate, and advanced levels. The typical class consists of 12 to 25 lessons and will take approximately one hour to complete.
 Class Name: Geometry: Triangles 165 Description: This class describes the properties of the various types of triangles and demonstrates how they are used to solve sample part drawings. Prerequisites: 800155 Difficulty: Beginner Number of Lessons: 16 Language: English, Spanish, Chinese

Below are all the competencies and job programs that contain the class Geometry: Triangles 165. Job programs are our traditional class lists organized according to common job functions. Competencies are our latest job-specific curricula that help tie online learning to practical, hands-on tasks.

Click on any title to view its details.

Competencies Show All

Class Outline
• Objectives
• What Is a Triangle?
• Measurements of Interior Angles
• Sum of Interior Angles: Sample Problem
• Sum of Interior Angles: Solution
• Constructing a Triangle: Sample Problem
• Types of Triangles by Sides
• Types of Triangles by Angles
• Isosceles and Equilateral Triangles
• Relationship Between Sides and Angles
• Calculating Area of a Triangle
• Right Triangles
• Right Triangle: Sample Problem
• Two Right Triangles: First Solution
• Two Right Triangles: Second Solution
• Summary

Class Objectives
• Define triangle.
• Describe how the angles of a triangle relate to each other.
• Distinguish between essential and nonessential information for solving a problem using triangle geometry.
• Solve a geometric problem using the interior angles of a triangle.
• Solve a geometric problem by adding a triangle to a drawing.
• Match triangles according to their sides.
• Match triangles according to their angles.
• Describe the characteristics of an isosceles triangle.
• Describe the characteristics of an equilateral triangle.
• Describe the relationship between the sides and angles of a triangle.
• Solve for the area of a triangle.
• Describe the characteristics of a right triangle.
• Solve a geometric problem using a right triangle.
• Identify right angles in a typical shop print.

Class Vocabulary

Vocabulary TermDefinition
A triangle containing three angles that are all less than 90 degrees.
Two angles that share the same vertex and one side. The two sides that are not shared form a larger angle.
In a triangle, a line drawn perpendicular to the base, from the base to the opposite vertex, that represents the height of the triangle.
A shape formed by two rays or line segments sharing a common endpoint or two lines that intersect. An angle has one vertex and two sides.
The size of the space contained within an enclosed two-dimensional figure. Area is typically measured in square units such as square inches or square centimeters.
In an isosceles triangle, the one side that is not equal to the other sides.
In an isosceles triangle, one of the two angles formed by the base and a leg.
Equal or similar to each other.
A triangle containing three equal sides that are the same length.
An angle located within a closed figure. A triangle has three interior angles.
A triangle containing two equal sides that are the same length.
In an isosceles triangle, one of the two sides that are equal in length.
A triangle containing one angle that is greater than 90 degrees. The other two angles must total less than 90 degrees.
Forming a 90° right angle.
Two lines that intersect to form a 90° angle.
An angle that measures exactly 90 degrees.
A triangle containing exactly one 90° angle. The other two angles must total exactly 90 degrees.
A triangle containing three unequal sides that are all different lengths.
Two angles that, when added together, equal 180 degrees.
A closed figure with exactly three sides. The three sides meet to form three interior angles.
A point where two lines or line segments meet or intersect. A triangle has three vertices.
In an isosceles triangle, the angle formed by the two legs of equal length. The vertex angle is always opposite the base.
Two angles that share the same vertex and are positioned directly opposite one another. Vertical angles are formed whenever two lines intersect.
The plural term for vertex.