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Section 2.4 Use Postulates and Diagrams

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Section 2.4

Use Postulates and Diagrams

Objective:

Use postulates involving points, lines and planes

Page 3: Section 2.4 Use Postulates and Diagrams - Mrs. Miller's Mathhallsvillemiller.weebly.com/uploads/4/6/7/1/46710331/section_2.4... · Use Postulates and Diagrams. Objective: Use postulates

Chapter 1 Postulates

Page 4: Section 2.4 Use Postulates and Diagrams - Mrs. Miller's Mathhallsvillemiller.weebly.com/uploads/4/6/7/1/46710331/section_2.4... · Use Postulates and Diagrams. Objective: Use postulates

Postulate 1 Ruler Postulate

Page 5: Section 2.4 Use Postulates and Diagrams - Mrs. Miller's Mathhallsvillemiller.weebly.com/uploads/4/6/7/1/46710331/section_2.4... · Use Postulates and Diagrams. Objective: Use postulates

Postulate 2 Segment Addition Postulate

Page 6: Section 2.4 Use Postulates and Diagrams - Mrs. Miller's Mathhallsvillemiller.weebly.com/uploads/4/6/7/1/46710331/section_2.4... · Use Postulates and Diagrams. Objective: Use postulates

Postulate 3 Protractor Postulate

Page 7: Section 2.4 Use Postulates and Diagrams - Mrs. Miller's Mathhallsvillemiller.weebly.com/uploads/4/6/7/1/46710331/section_2.4... · Use Postulates and Diagrams. Objective: Use postulates

Postulate 4 Angle Addition Postulate

Page 8: Section 2.4 Use Postulates and Diagrams - Mrs. Miller's Mathhallsvillemiller.weebly.com/uploads/4/6/7/1/46710331/section_2.4... · Use Postulates and Diagrams. Objective: Use postulates

Postulate 5: Through any two points there exists exactly one line.

Page 9: Section 2.4 Use Postulates and Diagrams - Mrs. Miller's Mathhallsvillemiller.weebly.com/uploads/4/6/7/1/46710331/section_2.4... · Use Postulates and Diagrams. Objective: Use postulates

Postulate 6: A line contains at least two points

Page 10: Section 2.4 Use Postulates and Diagrams - Mrs. Miller's Mathhallsvillemiller.weebly.com/uploads/4/6/7/1/46710331/section_2.4... · Use Postulates and Diagrams. Objective: Use postulates

Postulate 7: If two lines intersect, then their intersection is exactly one point.

Page 11: Section 2.4 Use Postulates and Diagrams - Mrs. Miller's Mathhallsvillemiller.weebly.com/uploads/4/6/7/1/46710331/section_2.4... · Use Postulates and Diagrams. Objective: Use postulates

Postulate 8: Through any 3 noncollinear points there exists exactly one plane.

Page 12: Section 2.4 Use Postulates and Diagrams - Mrs. Miller's Mathhallsvillemiller.weebly.com/uploads/4/6/7/1/46710331/section_2.4... · Use Postulates and Diagrams. Objective: Use postulates

Postulate 9: A plane contains at least three noncollinear points

Page 13: Section 2.4 Use Postulates and Diagrams - Mrs. Miller's Mathhallsvillemiller.weebly.com/uploads/4/6/7/1/46710331/section_2.4... · Use Postulates and Diagrams. Objective: Use postulates

Postulate 10: If two points lie in a plane, then the line containing them lies in the plane.

Page 14: Section 2.4 Use Postulates and Diagrams - Mrs. Miller's Mathhallsvillemiller.weebly.com/uploads/4/6/7/1/46710331/section_2.4... · Use Postulates and Diagrams. Objective: Use postulates

Postulate 11: If two planes intersect, then their intersection is a line.

Page 15: Section 2.4 Use Postulates and Diagrams - Mrs. Miller's Mathhallsvillemiller.weebly.com/uploads/4/6/7/1/46710331/section_2.4... · Use Postulates and Diagrams. Objective: Use postulates

Page 16: Section 2.4 Use Postulates and Diagrams - Mrs. Miller's Mathhallsvillemiller.weebly.com/uploads/4/6/7/1/46710331/section_2.4... · Use Postulates and Diagrams. Objective: Use postulates

Sketch a diagram showing TV intersecting PQ at point W, so that TW ≅ WV

Page 17: Section 2.4 Use Postulates and Diagrams - Mrs. Miller's Mathhallsvillemiller.weebly.com/uploads/4/6/7/1/46710331/section_2.4... · Use Postulates and Diagrams. Objective: Use postulates

A line is a line perpendicular to a plane if and only if the line intersects the plane in a point and is perpendicular to every line in the plane that intersects it at that point.

Page 18: Section 2.4 Use Postulates and Diagrams - Mrs. Miller's Mathhallsvillemiller.weebly.com/uploads/4/6/7/1/46710331/section_2.4... · Use Postulates and Diagrams. Objective: Use postulates

Page 19: Section 2.4 Use Postulates and Diagrams - Mrs. Miller's Mathhallsvillemiller.weebly.com/uploads/4/6/7/1/46710331/section_2.4... · Use Postulates and Diagrams. Objective: Use postulates

Worksheet 2.4 A

Page 20: Section 2.4 Use Postulates and Diagrams - Mrs. Miller's Mathhallsvillemiller.weebly.com/uploads/4/6/7/1/46710331/section_2.4... · Use Postulates and Diagrams. Objective: Use postulates

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