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Cartesian Plane.pptx. plotting -86points
- 1. Cartesian Plane Key Conceptsand Applications
- 2. This presentation coversthe Cartesian coordinate plane, focusing on plotting points, understanding coordinates, and calculating distance and midpoints effectively. Introduction
- 3. Cartesian Coordinate PlaneOverview
- 4. Definition and Components TheCartesian coordinate plane is a two-dimensional surface defined by the intersection of two perpendicular axes: the x-axis and y-axis.
- 5. The x-axis andy-axis divide the plane into four quadrants, each representing specific sign combinations of coordinates (x, y). Axes and Quadrants
- 6. Uses and Applications Thisplane is essential for graphing equations, solving geometry problems, and visualizing mathematical relationships clearly.
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- 8. Identifying Coordinates (x,y) Every point is represented by an ordered pair (x, y), describing its distance from the origin along the x-axis and y-axis.
- 9. Plotting Procedures To plotpoints, locate the x-coordinate on the x-axis, then move vertically to the y-coordinate, marking the point at their intersection.
- 10. Once coordinates areidentified, points are located by moving horizontally to the x-value and vertically to the y-value, pinpointing the exact position on the Cartesian plane. Locating Points on the Plane
- 11. Distance Between TwoPoints
- 12. Distance Formula Derivation Thedistance formula is derived from the Pythagorean theorem, calculating the straight-line distance between two points based on their coordinate differences.
- 13. Calculate horizontal andvertical distances, square these values, sum them, and take the square root to find the exact distance between points. Calculating Distance Step-by-Step
- 14. Problem-Solving Examples Apply thedistance formula to real examples, such as finding the length between given points to illustrate practical use and accuracy.
- 15. Midpoint of aLine Segment
- 16. Midpoint Formula Explanation Themidpoint is the point that divides a segment into two equal parts. It is calculated as the average of the x-coordinates and y-coordinates of the endpoints.
- 17. Add the x-coordinates,divide by two, do the same for y- coordinates; the result is the midpoint coordinates on the Cartesian plane. Calculation Methods
- 18. Practical Applications inGeometry Midpoints are used in design, construction, and navigation for creating balanced segments and central points in various geometric contexts.
- 19. Conclusions Understanding plotting, distance,and midpoint concepts on the Cartesian plane enables precise geometric analysis and practical problem-solving skills.
- 20. CREDITS: This presentationtemplate was created by Slidesgo, and includes icons, infographics & images by Freepik Thank you Do you have any questions? [email protected] +00 000 000 000 yourwebsite.com Please keep this slide for attribution