Complementary and Supplementary Angles by Tony Walsh
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Angles 1
This example demonstrates the geometric relationships between complementary and supplementary angles through dynamic visualization, showing how two angles are related when their sum is 90° or 180°. Core math concepts include angle definitions, complementary angles (sum to 90°), and supplementary angles (sum to 180°). Construction highlights the use of GeoGebra commands like Rotate, Angle, and Segment, along with objects such as A, B, α, a, b, etc. Suitable for middle school and above students to intuitively grasp fundamental angle properties and relationships.
GeoGebra Commands & Parameters
Rotate(A, 270*°, B) → A'Angle(A', B, A) → αSegment(A, B) → aSegment(A', B) → bSegment(B, C) → cAngle(C, B, A) → βAngle(A', B, C) → γRotate(D, 180*°, E) → D'Angle(D, E, D') → δSegment(E, D') → dSegment(E, D) → eSegment(E, F) → fAngle(F, E, D') → εAngle(D, E, F) → ζ