Lignes et Angles
Comprendre les lignes, les angles et leurs relations
Interactive Lines and Angles Visualization
Welcome to the Lines and Angles Explorer
This interactive visualization helps you understand different types of lines (parallel, perpendicular, intersecting) and angles (acute, right, obtuse, straight, reflex). Explore angle relationships and measurements.
What you can explore:
- Line Types: Parallel, perpendicular, and intersecting lines
- Angle Types: Acute (<90°), right (90°), obtuse (>90°), straight (180°), reflex (>180°)
- Angle Relationships: Complementary, supplementary, vertical, adjacent angles
- Angle Measurements: Real-time angle calculations
How to Use This Visualization
Interactive Features:
- • Select Line Type - Choose parallel, perpendicular, or intersecting
- • Adjust Angles - Change angle values for intersecting lines
- • Toggle Labels - Show/hide angle labels and measurements
- • View Relationships - See complementary, supplementary, and vertical angles
What You'll See:
- • Line Visualization - Different line configurations
- • Angle Arcs - Visual representation of angles
- • Angle Measurements - Degree values displayed
- • Angle Analysis - Type and relationship information
Angle Measurements
Angle 1
0.0°
Type: acute
Angle 2
180.0°
Type: straight
Angle 3
0.0°
(Opposite to Angle 1)
Angle 4
180.0°
(Opposite to Angle 2)
Angle Relationships
Supplementary
Yes
Angle 1 + Angle 2 = 0.0° + 180.0° = 180.0°
Two angles are supplementary if their sum is 180°
Vertical Angles
Yes
Angle 1 = Angle 3, Angle 2 = Angle 4
Vertical angles are always equal
Complementary
No
Sum = 180.0°
Two angles are complementary if their sum is 90°
Adjacent
Yes
Angles share a common side and vertex
All angles at intersection are adjacent
Types of Lines
Parallel Lines: Lines that never intersect. They maintain the same distance apart and have the same slope.
Perpendicular Lines: Lines that intersect at a 90° angle. The product of their slopes is -1.
Intersecting Lines: Lines that cross at a point. They form angles at the intersection point.
Types of Angles
Acute: Less than 90° (0° < angle < 90°)
Right: Exactly 90° (angle = 90°)
Obtuse: Between 90° and 180° (90° < angle < 180°)
Straight: Exactly 180° (angle = 180°)
Reflex: Greater than 180° (180° < angle < 360°)
Angle Relationships
Complementary Angles:
Two angles whose sum is 90°. Example: 30° and 60° are complementary.
Supplementary Angles:
Two angles whose sum is 180°. Example: 120° and 60° are supplementary.
Vertical Angles:
Angles opposite each other when two lines intersect. They are always equal.
Adjacent Angles:
Angles that share a common side and vertex. They are next to each other.
Leçons
Unités d'apprentissage individuelles
Leçons à venir