Subjects geometry

Points Lines Angles 337852

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Points Lines Angles 337852


1. **Problem Statement:** Understand and practice concepts on Points, Lines & Planes, Angles, Angles formed by two parallel lines, Introduction to Geometrical Construction, Perpendicular Bisector & Angle Bisector, and Construction of Angles (30°, 45°, 60°, 75°, 90°, 120°). 2. **Points, Lines & Planes:** A point represents a location with no size. A line is a straight one-dimensional figure extending infinitely in both directions. A plane is a flat two-dimensional surface extending infinitely. 3. **Angles:** An angle is formed by two rays with a common endpoint called the vertex. The measure of an angle is in degrees (°). 4. **Angles Formed by Two Parallel Lines:** When a transversal crosses two parallel lines, it forms corresponding angles, alternate interior angles, and alternate exterior angles which are equal. 5. **Geometrical Construction:** Using only a compass and straightedge to create points, lines, and angles accurately. 6. **Perpendicular Bisector:** A line that divides a segment into two equal parts at 90°. 7. **Angle Bisector:** A ray that divides an angle into two equal angles. 8. **Construction of Angles:** - 30°: Bisect 60° angle. - 45°: Bisect 90° angle. - 60°: Construct equilateral triangle. - 75°: Add 30° and 45° angles. - 90°: Construct perpendicular line. - 120°: Construct equilateral triangle and extend. Each construction uses compass arcs and straightedge lines to ensure accuracy. This worksheet encourages drawing diagrams for each step to enhance understanding. Final note: Practice these constructions step-by-step with diagrams for mastery.