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Essential Geometry Concepts for Class 9

This resource serves as a comprehensive overview of essential geometry concepts for Class 9 students. It covers key terms such as compass, midpoint, parallel lines, right angles, and the Pythagorean theorem, among others. Students will learn definitions and applications of crucial geometric properties including congruence, coplanarity, and distance formulas. This guide is designed to enhance understanding of geometry and aid students in mastering their curriculum, providing clear explanations and examples of each concept.

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Essential Geometry Concepts for Class 9

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  1. Geometry Project Mrs. Choong’s class 9/3/10 By. Erica Syptak

  2. Compass - an instrument for determining directions, as by means of a freely rotating magnetized needle that indicates magnetic north.

  3. Midpoint- a point at or near the middle of, or equidistant from, both ends, as of a line: the midpoint of a boundary.

  4. Parallel- (of straight lines) lying in the same plane but never meeting no matter how far extended. (of planes) having common perpendiculars.

  5. Right Angle- the angle formed by two radii of a circle that are drawn to the extremities of an arc equal to one quarter of the circle; the angle formed by two perpendicular lines that intersect; an angle of 90°.

  6. Coplanar - being or operating in the same plane.

  7. Pythagorean Theorem - the theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

  8. Collinear - lying in the same straight line.

  9. Congruent - that two or more things are the exact same size and shape.

  10. Skew- Neither parallel nor intersecting. Used of straight lines in space.

  11. Perpendicular - an upright position

  12. Distance Formula - The distance d between the points (x1, y1) and (x2, y2)

  13. Acute Angle - An angle whose measure is between 0° and 90°

  14. Obtuse Angle - an angle greater than 90° but less than 180°.

  15. Protractor - an instrument having a graduated arc for plotting or measuring angles.

  16. Endpoint - the point on each side of an interval marking its extremity on that side.

  17. Non-Coplanar - that they do not belong to the same plane

  18. Non-Collinear - that they do not belong to the same line

  19. Line - a continuous extent of length

  20. Ray - one of a system of straight lines emanating from a point.

  21. Angle - the space within two lines or three or more planes diverging from a common point, or within two planes diverging from a common line.

  22. Length of a segment - A straight line which links two points without extending beyond them.

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