Lab: Scale Explorer
△ABC is fixed with sides 5, 6, 7. Drag the scale factor and watch △DEF grow and shrink — every side ratio stays locked at k.
Explorer
The blue triangle is △ABC (fixed). The gold triangle is △DEF = k × △ABC.
| Side | △ABC | △DEF | Ratio |
|---|
Controls
Scale factor k from △ABC to △DEF.
Experiment 1 — shrink it. Set k = 0.5. What are the sides of △DEF?
Every side halves: 2.5, 3, 3.5. The ratios still all equal 0.5.
Experiment 2 — the k = 1 moment. Set k = 1.
△DEF is identical to △ABC — similarity with k = 1 is congruence.
Experiment 3 — order check. Notice the table pairs AB with DE, BC with EF, AC with DF —
always the same positions. Scrambling the order would break the ratios.