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Entry Task Graph each inequality. 1. x ≥ 3 2. 2 < x ≤ 6 3. x ≥ 1 OR x ≤ 0

0. 2. 4. 6. Entry Task Graph each inequality. 1. x ≥ 3 2. 2 < x ≤ 6 3. x ≥ 1 OR x ≤ 0 . -2. 0. 2. 4. 0. 1. Things to focus on this year…. Show respect for your partner. Chapter 1.2 Points, Lines, and Planes. Target.

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Entry Task Graph each inequality. 1. x ≥ 3 2. 2 < x ≤ 6 3. x ≥ 1 OR x ≤ 0

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  1. 0 2 4 6 • Entry Task • Graph each inequality. • 1. x ≥ 3 • 2. 2 < x ≤ 6 • 3. x ≥ 1 OR x ≤ 0 -2 0 2 4 0 1

  2. Things to focus on this year….. • Show respect for your partner

  3. Chapter 1.2 Points, Lines, and Planes Target SWBAT (students will be able to) understand geometry as a mathematical system built on accepted facts, basic terms and definitions. Need to fill in missing items (ray, line segment, opposite rays, etc.)

  4. Vocabulary Point ray line plane Collinear points coplanar Postulate Space Opposite rays axiom intersection

  5. The most basic figures in geometry are undefined terms, which cannot be defined by using other figures. The undefined terms point,line, and plane are the building blocks of geometry. All geometric figures are made up of points. Space is the set of all points

  6. K L M N Points that lie on the same line are collinear. K, L, and M are collinear. K, L, and N are noncollinear. Points that lie on the same plane are coplanar. Otherwise they are noncoplanar.

  7. Possible answer: AE, BE, CE Example 1: Naming Points, Lines, and Planes A. Name four coplanar points. A, B, C, D B. Name three lines.

  8. Check It Out! Example 2 Use the diagram to name two planes. Possible answer: Plane R and plane ABC.

  9. A postulate, or axiom, is a statement that is accepted as true without proof. Postulates about points, lines, and planes help describe geometric properties.

  10. XY Example 3: Identifying Points and Lines in a Plane Name a line that passes through two points.

  11. Check It Out! Example 4 Name a plane that contains three noncollinear points. Possible answer: plane GHF orR

  12. Recall that a system of equations is a set of two or more equations containing two or more of the same variables. The coordinates of the solution of the system satisfy all equations in the system. These coordinates also locate the point where all the graphs of the equations in the system intersect. An intersection is the set of all points that two or more figures have in common. The next two postulates describe intersections involving lines and planes.

  13. Use a dashed line to show the hidden parts of any figure that you are drawing. A dashed line will indicate the part of the figure that is not seen.

  14. Example 5: Representing Intersections A. Sketch two lines intersecting in exactly one point. B. Sketch a figure that shows a line that lies in a plane.

  15. Check It Out! Example 6 This figure shows two lines, l and m intersecting in one point P in plane R, but only one of the lines lies in the plane. m R P l

  16. 1. A point on CD. Possible answer: BD Lesson Check: Part I Possible answer: C or D 2. The intersection of plane N and plane T. 3. A plane containing E, D, and B. Plane T Draw each the following. 4. a line intersecting a plane at one point

  17. Assignment P (practice): Page 16 (8-20 even) A (apply): Pages 17/18 (28-32 even, 37, 39, 40-46, 50, 54-58 even) C (challenge): Page 18 (59-60)

  18. Online Access • Pearson Website • http://www.pearsonsuccessnet.com • Student login: • Your KSD User ID • Password • Same as last year • New default: ksd_psn2

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