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## CLASS DETAILS

## 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

## 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.

## Job Roles

## Certifications

NIMS- Job Planning, Benchwork, & Layout I
- Metalforming I

- MSSC Quality Practices and Measurement

## Glossary

Vocabulary Term | Definition |
---|---|

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. |