'Parallel postulate' presentation slideshows

Lecture 4, MATH 210G.03, Spring 2013 Greek Mathematics and Philosophy

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Created by: Mr. Young plaza.ufl/youngdj/powerpoint/noneuclidean

If you have a line and a point, it is just obvious that there is only one line through that point that is parallel to the line. Non-Euclidean Geometry? How can you have Geometry without me?. I wonder if people realize that they have me to thank for having to write proofs.

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Euclidean geometry and trigonometry

Euclidean geometry and trigonometry. y. Euclidean geometry means flat space. sine and cosine. ACME. 1. q. x. Calculating. Trigonometric identities. Euclidean geometry. ( 1 ) Line segment. A. B. ( 2 ) Extend line segment into line. D. C. F. E. ( 5 ) Parallel postulate.

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SECTION 3.6 Using perpendicular and parallel lines

VOCABULARY Construction Parallel Perpendicular. SECTION 3.6 Using perpendicular and parallel lines. LEARNING TARGETS: Students will be able to construct parallel and perpendicular lines with a compass and straightedge. Students will be able to use the parallel and perpendicular postulate.

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Parallel Lines and Planes

Parallel Lines and Planes. 3-1. Identify all pairs of angles of the given type. b. a. Corresponding. Alternate interior. d. Consecutive interior. Alternate exterior. c. and. and. and. and. and. and. and. and. ? 8. ? 7. ? 6. ? 5. ? 5. ? 8. ? 6. ? 7. 2. 3. 4. 1.

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Origami:

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7.1 Triangle application theorems

7.1 Triangle application theorems. Objective: After studying this section, you will be able to apply theorems about the interior angles, the exterior angles, and the midlines of triangles. Theorem. The sum of the measures of the three angles of a triangle is 180 . B. A. C. Proof.

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7.1 Triangle application theorems

7.1 Triangle application theorems. Objective: After studying this section, you will be able to apply theorems about the interior angles, the exterior angles, and the midlines of triangles. Theorem. The sum of the measures of the three angles of a triangle is 180 . B. A. C. Proof.

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Prove Triangles Congruent by ASA & AAS

Prove Triangles Congruent by ASA & AAS. Lesson 4.10 (M1) Use two more methods to prove triangle congruence. Vocabulary. A flow proof uses arrows to show the flow of a logical argument.

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Unit 3 Calendar

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Geometry with McCarthy

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GBK Geometry

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MAT 360 Lecture 9

MAT 360 Lecture 9. History of the parallel postulate. Alternate Interior Angle Theorem If alt. int angle are congruent then lines are parallel. Measure of angles and segments theorem. Exterior Angle Theorem Exterior angle is greater than remote interior.

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Lines and Angles

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Study Guide Timeline

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EXAMPLE 1

Think of each segment in the figure as part of a line. Which line ( s ) or plane ( s ) in the figure appear to fit the description?. a. Line ( s ) parallel to CD and containing point A. b. Line ( s ) skew to CD and containing point A.

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EXAMPLE 1

Think of each segment in the figure as part of a line. Which line ( s ) or plane ( s ) in the figure appear to fit the description?. a. Line ( s ) parallel to CD and containing point A. b. Line ( s ) skew to CD and containing point A.

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EXAMPLE 1

Can the triangles be proven congruent with the information given in the diagram? If so, state the postulate or theorem you would use.

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