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Geometry: Triangles 165

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 typically requires at least two hours of instruction time.

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

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
acute triangle		A triangle containing three angles that are all less than 90 degrees.
adjacent angles		Two angles that share the same vertex and one side. The two sides that are not shared form a larger angle.
altitude		In a triangle, a line drawn perpendicular to the base, from the base to the opposite vertex, that represents the height of the triangle.
angle		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.
area		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.
base		In an isosceles triangle, the one side that is not equal to the other sides.
base angle		In an isosceles triangle, one of the two angles formed by the base and a leg.
congruent		Equal or similar to each other.
equilateral triangle		A triangle containing three equal sides that are the same length.
interior angle		An angle located within a closed figure. A triangle has three interior angles.
isosceles triangle		A triangle containing two equal sides that are the same length.
leg		In an isosceles triangle, one of the two sides that are equal in length.
obtuse triangle		A triangle containing one angle that is greater than 90 degrees. The other two angles must total less than 90 degrees.
perpendicular		Forming a 90° right angle.
perpendicular lines		Two lines that intersect to form a 90° angle.
right angle		An angle that measures exactly 90 degrees.
right triangle		A triangle containing exactly one 90° angle. The other two angles must total exactly 90 degrees.
scalene triangle		A triangle containing three unequal sides that are all different lengths.
supplementary angle		Two angles that, when added together, equal 180 degrees.
triangle		A closed figure with exactly three sides. The three sides meet to form three interior angles.
vertex		A point where two lines or line segments meet or intersect. A triangle has three vertices.
vertex angle		In an isosceles triangle, the angle formed by the two legs of equal length. The vertex angle is always opposite the base.
vertical angles		Two angles that share the same vertex and are positioned directly opposite one another. Vertical angles are formed whenever two lines intersect.
vertices		The plural term for vertex.