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.