Lines Segments and Rays What is Geometry Geometry
![Lines, Segments and Rays Lines, Segments and Rays](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-1.jpg)
![What is Geometry? Geometry is the study of shapes They studied Geometry in Ancient What is Geometry? Geometry is the study of shapes They studied Geometry in Ancient](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-2.jpg)
![POINT A POINT is an exact location on a graph, shape or in “space”. POINT A POINT is an exact location on a graph, shape or in “space”.](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-3.jpg)
![LINE A LINE goes in opposite directions and never, never ends. Imagine if this LINE A LINE goes in opposite directions and never, never ends. Imagine if this](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-4.jpg)
![RAY A RAY is part of a line, but it has one endpoint and RAY A RAY is part of a line, but it has one endpoint and](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-5.jpg)
![ENDPOINT An ENDPOINT is a point at the end of a ray or line ENDPOINT An ENDPOINT is a point at the end of a ray or line](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-6.jpg)
![LINE SEGMENT A LINE SEGMENT is part of a ray or line. It has LINE SEGMENT A LINE SEGMENT is part of a ray or line. It has](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-7.jpg)
![VERTEX A VERTEX is a fancy name for “angle” Two rays or lines that VERTEX A VERTEX is a fancy name for “angle” Two rays or lines that](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-8.jpg)
![VERTICAL LINE A VERTICAL LINE goes up & down The candy bars are vertical VERTICAL LINE A VERTICAL LINE goes up & down The candy bars are vertical](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-9.jpg)
![HORIZONTAL LINE A HORIZONTAL LINE goes “across” (left and right) The candy bars are HORIZONTAL LINE A HORIZONTAL LINE goes “across” (left and right) The candy bars are](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-10.jpg)
![TYPES OF LINES 1. Parallel Lines 2. Perpendicular lines - Two lines that never TYPES OF LINES 1. Parallel Lines 2. Perpendicular lines - Two lines that never](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-11.jpg)
![PLANE § A PLANE (no, not the one that flies!) is a flat surface PLANE § A PLANE (no, not the one that flies!) is a flat surface](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-12.jpg)
![PROTRACTOR We use a PROTRACTOR to measure vertex/angles in degrees PROTRACTOR We use a PROTRACTOR to measure vertex/angles in degrees](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-13.jpg)
![4 TYPES OF ANGLES ACUTE ANGLES are less than 90° 4 TYPES OF ANGLES ACUTE ANGLES are less than 90°](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-14.jpg)
![4 TYPES OF ANGLES RIGHT ANGLES measure exactly 90 ° The “square” symbol means 4 TYPES OF ANGLES RIGHT ANGLES measure exactly 90 ° The “square” symbol means](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-15.jpg)
![4 TYPES OF ANGLES OBTUES ANGLES are greater than 90 ° but less than 4 TYPES OF ANGLES OBTUES ANGLES are greater than 90 ° but less than](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-16.jpg)
![4 TYPES OF ANGLES STRAIGHT ANGLE is exactly 180 ° 4 TYPES OF ANGLES STRAIGHT ANGLE is exactly 180 °](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-17.jpg)
![ANGLES When you “name” an angle. The vertex/angle “letter/number” goes in the center of ANGLES When you “name” an angle. The vertex/angle “letter/number” goes in the center of](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-18.jpg)
![Find one acute, one obtuse, and one straight angle. G F H K J Find one acute, one obtuse, and one straight angle. G F H K J](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-19.jpg)
![Intersecting Planes Intersecting Planes](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-20.jpg)
![The End Once you study all the “fancy words”, Geometry is very easy to The End Once you study all the “fancy words”, Geometry is very easy to](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-21.jpg)
- Slides: 21
![Lines Segments and Rays Lines, Segments and Rays](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-1.jpg)
Lines, Segments and Rays
![What is Geometry Geometry is the study of shapes They studied Geometry in Ancient What is Geometry? Geometry is the study of shapes They studied Geometry in Ancient](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-2.jpg)
What is Geometry? Geometry is the study of shapes They studied Geometry in Ancient Mesopotamia & Ancient Egypt Geometry is important in the art and construction fields
![POINT A POINT is an exact location on a graph shape or in space POINT A POINT is an exact location on a graph, shape or in “space”.](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-3.jpg)
POINT A POINT is an exact location on a graph, shape or in “space”. The Hershey Kiss is a POINT on the line ●
![LINE A LINE goes in opposite directions and never never ends Imagine if this LINE A LINE goes in opposite directions and never, never ends. Imagine if this](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-4.jpg)
LINE A LINE goes in opposite directions and never, never ends. Imagine if this Twizzler went on forever and ever and ever
![RAY A RAY is part of a line but it has one endpoint and RAY A RAY is part of a line, but it has one endpoint and](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-5.jpg)
RAY A RAY is part of a line, but it has one endpoint and the other end keeps going. ● Raaaaaaaaaaaayyyyyyyyyyyyyy Endpoint
![ENDPOINT An ENDPOINT is a point at the end of a ray or line ENDPOINT An ENDPOINT is a point at the end of a ray or line](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-6.jpg)
ENDPOINT An ENDPOINT is a point at the end of a ray or line segment. Endpoint
![LINE SEGMENT A LINE SEGMENT is part of a ray or line It has LINE SEGMENT A LINE SEGMENT is part of a ray or line. It has](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-7.jpg)
LINE SEGMENT A LINE SEGMENT is part of a ray or line. It has two endpoints Line Segment Line ● ● Line ● Endpoints Ray
![VERTEX A VERTEX is a fancy name for angle Two rays or lines that VERTEX A VERTEX is a fancy name for “angle” Two rays or lines that](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-8.jpg)
VERTEX A VERTEX is a fancy name for “angle” Two rays or lines that have the same endpoint make a VERTEX/angles are measured in “degrees” When two lines cross, they make vertex/angles The Corners of a square its vertex/angles
![VERTICAL LINE A VERTICAL LINE goes up down The candy bars are vertical VERTICAL LINE A VERTICAL LINE goes up & down The candy bars are vertical](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-9.jpg)
VERTICAL LINE A VERTICAL LINE goes up & down The candy bars are vertical
![HORIZONTAL LINE A HORIZONTAL LINE goes across left and right The candy bars are HORIZONTAL LINE A HORIZONTAL LINE goes “across” (left and right) The candy bars are](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-10.jpg)
HORIZONTAL LINE A HORIZONTAL LINE goes “across” (left and right) The candy bars are Horizontal
![TYPES OF LINES 1 Parallel Lines 2 Perpendicular lines Two lines that never TYPES OF LINES 1. Parallel Lines 2. Perpendicular lines - Two lines that never](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-11.jpg)
TYPES OF LINES 1. Parallel Lines 2. Perpendicular lines - Two lines that never intersect. - Two lines that intersect forming right angles.
![PLANE A PLANE no not the one that flies is a flat surface PLANE § A PLANE (no, not the one that flies!) is a flat surface](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-12.jpg)
PLANE § A PLANE (no, not the one that flies!) is a flat surface that goes on forever in all directions. § Imagine sitting on a row boat in the middle of the ocean. No matter which way you look…all you see is water…forever.
![PROTRACTOR We use a PROTRACTOR to measure vertexangles in degrees PROTRACTOR We use a PROTRACTOR to measure vertex/angles in degrees](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-13.jpg)
PROTRACTOR We use a PROTRACTOR to measure vertex/angles in degrees
![4 TYPES OF ANGLES ACUTE ANGLES are less than 90 4 TYPES OF ANGLES ACUTE ANGLES are less than 90°](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-14.jpg)
4 TYPES OF ANGLES ACUTE ANGLES are less than 90°
![4 TYPES OF ANGLES RIGHT ANGLES measure exactly 90 The square symbol means 4 TYPES OF ANGLES RIGHT ANGLES measure exactly 90 ° The “square” symbol means](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-15.jpg)
4 TYPES OF ANGLES RIGHT ANGLES measure exactly 90 ° The “square” symbol means 90’
![4 TYPES OF ANGLES OBTUES ANGLES are greater than 90 but less than 4 TYPES OF ANGLES OBTUES ANGLES are greater than 90 ° but less than](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-16.jpg)
4 TYPES OF ANGLES OBTUES ANGLES are greater than 90 ° but less than 180 °
![4 TYPES OF ANGLES STRAIGHT ANGLE is exactly 180 4 TYPES OF ANGLES STRAIGHT ANGLE is exactly 180 °](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-17.jpg)
4 TYPES OF ANGLES STRAIGHT ANGLE is exactly 180 °
![ANGLES When you name an angle The vertexangle letternumber goes in the center of ANGLES When you “name” an angle. The vertex/angle “letter/number” goes in the center of](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-18.jpg)
ANGLES When you “name” an angle. The vertex/angle “letter/number” goes in the center of the label B A C If I wanted to know the measurement of Angle A…I would ask: ” What is the measurement for BAC? ” (Notice A is in the center)
![Find one acute one obtuse and one straight angle G F H K J Find one acute, one obtuse, and one straight angle. G F H K J](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-19.jpg)
Find one acute, one obtuse, and one straight angle. G F H K J
![Intersecting Planes Intersecting Planes](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-20.jpg)
Intersecting Planes
![The End Once you study all the fancy words Geometry is very easy to The End Once you study all the “fancy words”, Geometry is very easy to](https://slidetodoc.com/presentation_image_h2/0f774d0f0a79aae0e7d0038e99fbd61a/image-21.jpg)
The End Once you study all the “fancy words”, Geometry is very easy to understand…so STUDY!
Lesson 1-3 segments rays parallel lines and planes
Name a point that is collinear with the given points
Geometry ray definition
Postulates examples
1-2 measuring and constructing segments
Measuring and constructing segments
10-5 additional practice secant lines and segments
Identify the special segment that's pictured
Definition of segment bisector in geometry
1-3 practice measuring segments
7-4 parallel lines and proportional parts
Proportional parts in triangles and parallel lines
Lewis structure for pf3
Unit 3: parallel & perpendicular lines
Plane geometry real life example
Honors geometry parallel lines and transversals worksheet
Unit 1 proof parallel and perpendicular lines
How to find if 2 lines are parallel
Perpendicular lines
Lesson 1 points lines and planes answers
Geometry practice 1-2 points lines and planes
Parallel planes