Reflection in Origin Scored Practice

Reflection in Origin Scored Practice
Loading the math board and drawing, please wait…
2018-06-19 05:22
This GeoGebra example demonstrates the reflection of a polygon about the origin (central symmetry) in a coordinate plane, with an interactive scoring system for practice. The core mathematical concept is point reflection about the origin: (x,y) maps to (-x,-y), equivalent to a 180-degree rotation. The construction uses the Polygon command to create the original triangle ABC, and the If command to generate the reflected image AiBiCi based on coordinate transformations. It also includes variables for score and attempts, along with text objects for feedback. Suitable for middle or high school students learning coordinate geometry, transformations, and symmetry, and can be used for classroom practice or self-assessment.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → ORIGINAL, c, a, b
  2. Polygon(Ai, Bi, Ci) → Image, i, g, h
  3. If(Ai ≟ D ∧ Bi ≟ E ∧ Ci ≟ F, 1, 0) → add