## Shop Essentials (Applied Mathematics) Training

Class Information
 Tooling U-SME 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: Shop Geometry Overview 170 Description: This class presents a general overview and refresher for the the most common rules of geometry. Difficulty: Beginner Number of Lessons: 20 Language: English, Spanish, Chinese

Class Outline
• Objectives
• What Is Geometry?
• Points, Lines, and Planes
• Line Segments, Rays, and Angles
• Types of Angles
• Pairs of Angles
• Parallel and Perpendicular Lines
• Interior and Exterior Angles
• Polygons
• Triangles
• Triangles Grouped by Their Sides
• Triangles Grouped by Their Angles
• Parallelograms
• Rectangles
• Rhombi and Squares
• Circles
• Circles: Secants and Tangents
• Circles: Circumference and Area
• Summary

Class Objectives
• Define geometry.
• Describe the basic features that make up geometric shapes.
• Describe the basic geometric features that can be measured.
• Identify the different types of angles.
• Identify the different pairs of angles.
• Distinguish between perpendicular and parallel lines.
• Describe the angles that are formed when a line intersects parallel lines.
• Describe the characteristics of a polygon.
• Describe the characteristics of a triangle.
• Match the type of triangle with the characteristics of its sides.
• Match the type of triangle with the characteristics of its angles.
• Describe the characteristics of a quadrilateral.
• Describe the characteristics of a parallelogram.
• Describe the characteristics of a rectangle.
• Describe the characteristics of a rhombus.
• Describe the characteristics of a square.
• Identify the parts of a circle.
• Distinguish between a secant and a tangent.
• Distinguish between circumference and area.

Class Vocabulary

Vocabulary TermDefinition
An angle that measures more than 0° but less than 90°.
Two angles in the same plane that share a common side and common vertex.
The amount of space, or number of square units, inside a closed figure.
The side of a triangle from which the height is constructed.
The angle that is formed by the base and one leg in an isosceles triangle. The base angles are always equal.
A line segment that divides a circle into two segments.
A geometric shape formed by the group of points that are an equal distance from a point, or center.
The boundary or perimeter around a circle. Circumference measures the distance around a circle.
Two angles whose measurements add up to 90°.
Angles that occur one right after the other. Consecutive angles are on either end of the same line segment in a polygon.
Two sides that occur one right after another and that share an endpoint. Consecutive sides connect to form a closed figure in a polygon.
The most commonly used unit of measurement for an angle. The degree symbol is a small circle above and to the right of a number, as in 90°.
The distance from one edge of the circle to the opposite edge that passes through the center.
One of two points on a line segment that signifies where the line segment ends.
Having angles that are all equal.
Of the same, or equal distance.
A triangle with three equal sides and three equal angles.
An angle that lies outside a closed figure or outside parallel lines.
A section of mathematics that involves the measurements, properties, and relationships of all shapes and sizes of things.
A perpendicular line drawn from the highest point in the triangle to the base on the opposite side.
An angle that lies inside a closed figure or between parallel lines.
A triangle with two equal sides.
One of the two equal sides in an isosceles triangle.
A set of numerous points that extend endlessly in two directions. A line is the quickest way to get from one point to another.
A portion of a line that has a beginning and an end. A line segment can be measured.
The larger portion of a circle that is cut off by a chord.
The smaller portion of a circle that is cut off by a chord.
An angle that measures more than 90° but less than 180°.
The sides in a quadrilateral that occur opposite from one another.
Lines that do not intersect and do not share any points. Parallel lines are equally distant from each other.
A quadrilateral with opposite parallel sides.
The formation of a right angle between two lines. The corner of a piece of paper is formed by perpendicular lines.
A special constant value that relates the diameter of a circle to its circumference. Pi is used to find the circumference and area of a circle and applies for any circle.
A flat surface that extends infinitely in any direction in three dimensions. A plane is represented by a closed four-sided figure.
A dot that indicates a definite position or location. A point has no width, depth, or length.
The point at which a tangent touches a circle.
A closed shape consisting of line segments that has at least three sides. Triangles, quadrilaterals, rectangles, and squares are all types of polygons.
A tool that can be used to measure or create an angle.
A polygon with four sides.
The distance from the center to the edge of a circle.
A portion of a line that has only one endpoint and extends infinitely in one direction. The length of a ray cannot be measured.
A parallelogram with four right angles.
A type of polygon with sides and angles that are all equal. A stop sign is a regular polygon with eight sides and eight angles.
The plural term for rhombus.
A parallelogram with equal sides. A rhombus often resembles a diamond.
An angle formed by two lines that are perpendicular to one another and measures exactly 90°. The corner of a piece of paper is a right angle.
A triangle with three unequal sides.
A line, line segment, or ray that intersects a circle at two points.
A rectangle with four equal sides.
An angle that measures 180°. A straight angle resembles a straight line.
Two angles whose measurements add up to 180°.
A line, line segment, or ray that touches a circle at exactly one point.
A line that crosses two or more lines at different points.
A polygon with three sides.
The point where the two sides of an angle intersect.
The angle formed by the two equal legs in an isosceles triangle. The vertex angle is opposite from the base.
Two angles positioned across from each other in the same plane but not next to each other. Vertical angles are formed by intersecting lines and they share the same vertex.
The plural term for vertex.