Geometry/Chapter 17

Coordination Geometry can be used to find the midpoint of two coordinates. For example (8,5)(4,2). The formula is[x+x(2nd)] divided by 2. ,[y+y(2nd)] divided by 2. For this example this would be: [(8+5) divided by 2],[(4+2) divided by 2]. This equals (6.5,3), which is the midpoint between these two coordinates.

The formula for finding the distance between two coordinates, (x1, y1) and (x2, y2), is √((x2-x1)²+(y2-y1)²)

Exercise

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• Geometry/Chapter 11 $\mathbb {R} ,\mathbb {R} ^{2},\mathbb {R} ^{3}$
• Geometry/Chapter 12 Angles: Interior and Exterior
• Geometry/Chapter 13 Angles: Complementary, Supplementary, Vertical
• Geometry/Chapter 14 Pythagorean Theorem: Proof
• Geometry/Chapter 15 Pythagorean Theorem: Distance and Triangles
• Geometry/Chapter 16 Constructions
• Geometry/Chapter 17 Coordinate Geometry
• Geometry/Chapter 18 Trigonometry
• Geometry/Chapter 19 Trigonometry: Solving Triangles
• Geometry/Chapter 20 Special Right Triangles
• Geometry/Chapter 21 Chords, Secants, Tangents, Inscribed Angles, Circumscribed Angles
• Geometry/Chapter 22 Rigid Motion
• Geometry/Appendix A Formulae
• Geometry/Appendix B Answers to problems
• Appendix C. Geometry/Postulates & Definitions
• Appendix D. Geometry/The SMSG Postulates for Euclidean Geometry