I can Name points lines rays and segments
- Slides: 39
I can… • • • Name points, lines, rays, and segments Name angles Measure angles Self Assessment 5 - I can do it without help & teach others. 4 - I can do this with no help, but I don’t know if I can explain it. 3 - I can do this with a little help. 2 - I can do this with a lot of help! 1 - I don’t have a clue.
Point • A location in space, represented by a dot and a capital letter • Points have no size, only location • D • B D, B and N represent points • N
Your Turn… A T
Line • Continues without end in opposite directions • A • B AB represents a line
Your Turn… R U
Your Turn… R Line RU Line UR U RU UR
Your Turn… B L
Your Turn… B L LB BL
Segment • Part of a line made up of 2 endpoints and all the points of the line between the 2 points • • D E DE represents a segment
Your Turn… A T
Your Turn… A T Line segment AT Line segment TA AT TA
Your Turn… D C
Your Turn… D C CD DC
Ray • Part of a line consisting of one endpoint and extends in ONE directions F • G FG represents a ray
Your Turn… W N
Your Turn… N W Ray WN WN
Your Turn… K G
Your Turn… K G KG
Plane • A flat surface that extends in four directions without end • F • G • H
Parallel • Lines, segments, and rays may be parallel. • Parallel lines go in the same direction and will never cross over each other. • Parallel lines can be horizontal, vertical or oblique. Parallel, Oblique Lines Parallel, Horizontal Segments Parallel, Vertical Rays
Parallel or Not? ? ? NOT PARALLEL
Parallel or Not? ? ? NOT PARALLEL
Intersecting • Lines, segments, and rays may cross over each other. Intersecting Lines Intersecting Segments Intersecting Rays
Intersecting or Not? ? ? Intersecting
Intersecting or Not? ? ? Intersecting
Perpendicular • Lines, segments, and rays may be perpendicular. • When lines intersect and form square corners, we call them perpendicular. Perpendicular Lines Perpendicular Segments Perpendicular Rays
Angles • Angles are formed by 2 rays with the same endpoint (vertex) • An angle can be named 2 ways – 3 letters: a point in each side and the vertex as the middle letter – 1 letter: vertex alone ZYX XYZ Y X Y Z
Measuring Angles A protractor Here is a standard protractor like you use in the classroom.
Measuring Angles You need to make sure the protractor is lined up correctly. Is this ready to measure the angle?
Were you right? . . it wasn’t Look for the upside down ‘T’ in the middle of the straight line on your protractor. This needs to be exactly on the vertex of your angle.
We need to remember. . . It doesn’t matter which way the angle is, you ALWAYS need to line the upside down ‘T’ to the vertex of the angle.
Now you are ready. Read from the 0°, and follow the inner set of numbers.
Once you reach 30° you need to be careful!!! You then need to look at the 1° markings on the outer set of numbers.
What does it measure? This angle measures 35°.
Your Turn… • Measure this angle from the inner scale. • This angle measures 75
Your Turn… • Measure this angle from the outer scale. • This angle measures 100
I can… • • • Name points, lines, rays, and segments Name angles Measure angles Self Assessment 5 - I can do it without help & teach others. 4 - I can do this with no help, but I don’t know if I can explain it. 3 - I can do this with a little help. 2 - I can do this with a lot of help! 1 - I don’t have a clue.
9. 1 -9. 2 Notes INTRO TO GEOMETRY Words Diagram Symbols A line extends without end in 2 opposite directions AB A ray has one endpoint and extends without end in 1 direction AB A segment has 2 endpoints AB Parallel lines go in the same direction and will never cross over each other. Intersecting lines may cross over each other. Perpendicular lines intersect and form square corners Angles are formed by 2 rays with the same endpoint (vertex) X Y Z ZYX Y XYZ
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