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Geometric Similarity: Length, Area & Volume

by Anonymous

Adjust the scale factor k to see corresponding sides grow by k, areas by k², and volumes by k³ on grids and cubes.

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About this app

Geometric Similarity is an interactive middle-school math app for exploring how similar figures change when the scale factor k changes. Adjust k to see corresponding side lengths multiply by k, area multiply by k², and volume multiply by k³. Three sections combine guided missions with a multiple-choice challenge on similarity ratios, area ratios, and volume ratios.

Use cases

  • Middle-school students learning similar figures and scale factors
  • Teachers demonstrating length, area, and volume ratios
  • Parents supporting practice with proportional geometry
  • Learners reviewing k, k², and k³ relationships

Features

  • Interactive scale-factor control with corresponding sides based on a 3:4:5 figure
  • Visual exploration of area ratios k² and volume ratios k³
  • Toggle between area and volume views
  • Guided missions covering ratios from 1 to larger scale factors
  • Multiple-choice challenge with correct-answer feedback and streak tracking