Shop Geometry Overview 170

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:	Shop Geometry Overview 170
Description:	This class presents a general overview and refresher for the the most common rules of geometry.
Prerequisites:	none
Difficulty:	Beginner
Number of Lessons:	20

Below are all the competencies and job programs that contain the class Shop Geometry Overview 170. Job programs are our traditional class lists organized according to common job functions. Competences are our latest job-specific curricula that help tie online learning to practical, hands-on tasks.

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Competencies
Maintenance Fundamentals

Job Programs
Job: Electrician: Industrial Job: NIMS

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
Quadrilaterals
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
acute angle		An angle that measures more than 0° but less than 90°.
adjacent angles		Two angles in the same plane that share a common side and common vertex.
area		The amount of space, or number of square units, inside a closed figure.
base		The side of a triangle from which the height is constructed.
base angle		The angle that is formed by the base and one leg in an isosceles triangle. The base angles are always equal.
chord		A line segment that divides a circle into two segments.
circle		A geometric shape formed by the group of points that are an equal distance from a point, or center.
circumference		The boundary or perimeter around a circle. Circumference measures the distance around a circle.
complementary angles		Two angles whose measurements add up to 90°.
consecutive angles		Angles that occur one right after the other. Consecutive angles are on either end of the same line segment in a polygon.
consecutive sides		Two sides that occur one right after another and that share an endpoint. Consecutive sides connect to form a closed figure in a polygon.
degree		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°.
diameter		The distance from one edge of the circle to the opposite edge that passes through the center.
endpoint		One of two points on a line segment that signifies where the line segment ends.
equiangular		Having angles that are all equal.
equidistant		Of the same, or equal distance.
equilateral triangle		A triangle with three equal sides and three equal angles.
exterior angle		An angle that lies outside a closed figure or outside parallel lines.
geometry		A section of mathematics that involves the measurements, properties, and relationships of all shapes and sizes of things.
height		A perpendicular line drawn from the highest point in the triangle to the base on the opposite side.
interior angle		An angle that lies inside a closed figure or between parallel lines.
isosceles triangle		A triangle with two equal sides.
leg		One of the two equal sides in an isosceles triangle.
line		A set of numerous points that extend endlessly in two directions. A line is the quickest way to get from one point to another.
line segment		A portion of a line that has a beginning and an end. A line segment can be measured.
major segment		The larger portion of a circle that is cut off by a chord.
minor segment		The smaller portion of a circle that is cut off by a chord.
obtuse angle		An angle that measures more than 90° but less than 180°.
opposite sides		The sides in a quadrilateral that occur opposite from one another.
parallel lines		Lines that do not intersect and do not share any points. Parallel lines are equally distant from each other.
parallelogram		A quadrilateral with opposite parallel sides.
perpendicular lines		The formation of a right angle between two lines. The corner of a piece of paper is formed by perpendicular lines.
pi		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.
plane		A flat surface that extends infinitely in any direction in three dimensions. A plane is represented by a closed four-sided figure.
point		A dot that indicates a definite position or location. A point has no width, depth, or length.
point of tangency		The point at which a tangent touches a circle.
polygon		A closed shape consisting of line segments that has at least three sides. Triangles, quadrilaterals, rectangles, and squares are all types of polygons.
protractor		A tool that can be used to measure or create an angle.
quadrilateral		A polygon with four sides.
radii		The plural term for radius.
radius		The distance from the center to the edge of a circle.
ray		A portion of a line that has only one endpoint and extends infinitely in one direction. The length of a ray cannot be measured.
rectangle		A parallelogram with four right angles.
regular polygon		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.
rhombi		The plural term for rhombus.
rhombus		A parallelogram with equal sides. A rhombus often resembles a diamond.
right angle		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.
scalene triangle		A triangle with three unequal sides.
secant		A line, line segment, or ray that intersects a circle at two points.
square		A rectangle with four equal sides.
straight angle		An angle that measures 180°. A straight angle resembles a straight line.
supplementary angles		Two angles whose measurements add up to 180°.
tangent		A line, line segment, or ray that touches a circle at exactly one point.
transversal line		A line that crosses two or more lines at different points.
triangle		A polygon with three sides.
vertex		The point where the two sides of an angle intersect.
vertex angle		The angle formed by the two equal legs in an isosceles triangle. The vertex angle is opposite from the base.
vertical angles		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.
vertices		The plural term for vertex.