Geometry Advise from former students: “Take notes and actually use them to help on other things” Today: 1.1 Instruction Vocab Intro Problem Practice

Assignment Yesterday: Advise from former students: “Take notes and actually use them to help on other things” Yesterday: Policy Signature Student Info Sheet Website Word Get Supplies

1.1 Points, Lines, and Planes

1.1 Points, Lines, and Planes

1.1 Points, Lines, and Planes   Objective: Understand and use the basic defined and undefined terms of Geometry. Sketch relationships in Geometry. Vocabulary: Undefined term, point, line, plane, collinear, coplanar,

1.1 Points, Lines, and Planes Make a chart in your notes that takes up about a whole page. It should have seven rows. The boxes should be big enough to write a sentence or draw a picture in.

1.1 Points, Lines, and Planes First row: - a location - made up of points - flat surface - extends forever Real Life Ex: Definition - extends forever Real Life Ex: Real Life Ex:

1.1 Points, Lines, and Planes Second Row: - a location - made up of points - flat surface - extends forever Real Life Ex: Definition - extends forever Real Life Ex: Real Life Ex: a line with arrows at each end a slanted four sided figure Drawn as a dot

1.1 Points, Lines, and Planes Third Row: Point Line Plane a line with arrows at each end a slanted four sided figure Drawn as a dot B M X •P A Picture W l Y Z

1.1 Points, Lines, and Planes Fourth and Fifth Rows: Point Line Plane B M X •P A Picture W l Y Z The letters of two points on the line with a line over them OR a lower case cursive a capital letter The letters of three points on the plane not all on the same line OR a capital cursive Named by Written as line plane WXY point P plane WYZ line line l plane M

1.1 Points, Lines, and Planes Sixth and Seventh Rows: Point Line Plane has neither shape nor size there is exactly one line through any two points there is exactly one plane through any three points Facts Known as an undefined term. Points of the same line: collinear Points on the same plane: coplanar Vocab

Example 1a A. Use the figure to name a line containing the point X. A. line X B. line c C. line Z D. Example 1a

B. Use the figure to name a plane containing point Z. EXAMPLE 1 B. Use the figure to name a plane containing point Z. A. plane XY B. plane c C. plane XQY D. plane P

Real World EXAMPLE 2 B. Name the geometric shape modeled by the ceiling of your classroom. A. point B. line segment C. plane D. none of the above Example 2b

EXAMPLE 3 A. Choose the best diagram for the given relationship. Plane D contains line a, line m, and line t, with all three lines intersecting at point Z. Also, point F is on plane D and is not collinear with any of the three given lines. A. B. C. D. Example 3a

Example 4a A. How many planes appear in this figure? A. one B. two C. three D. four

Example 4b B. Name three points that are collinear. A. B, O, and X B. X, O, and N C. R, O, and B D. A, X, and Z Example 4b

EXAMPLE 4 A. point X B. point N C. point R D. point A Example 4d

Naming Collinear and Coplanar Points: Name three points that are collinear. L, N, O or M, N, P Name a point that are not coplanar. P Name a line not contained by plane LMO. Line MN, NP or MP ● P L N O M

Assignment Due tomorrow: Education's purpose is to replace an empty mind with an open one. Malcolm Forbes Due tomorrow: 1.1 p 11 #53-54, 62-66 and p 13 #1-4 Signature and Class Info Get supplies – check on Monday

Supply Check Supply Check MONDAY! NO EXCUSES! Notebook and folder or binder and paper protractor ruler compass 7