NUMERIA LAB · CONGRUENCE · SIMILARITY

Triangle Forge

Triangle Congruence and Similarity Lab (SSS, SAS, ASA, AAS, HL)

Students forge copies of broken shards by choosing the three measurements that pin a triangle down — and see for themselves why SSA and AAA fail.

Screenshot of Triangle Forge
Triangle Forge in Numeria. Screens show sample students.
Grades
Grade 8 and Math 2
Math
Triangle congruence and similarity
Format
Solo
Time
One class period
Runs on
Any browser — Chromebooks and projectors
WHAT STUDENTS DO

How the lab plays

  • Every measurement costs coal, so students look for the cheapest proof.
  • They inspect marked pairs, including shared sides and vertical angles.
  • Then they fill orders for similar triangles.
THE MATH

Skills covered

  • Triangle congruence criteria: SSS, SAS, ASA, AAS and HL
  • Why SSA and AAA don't guarantee congruence
  • Similar triangles
NC STANDARD COURSE OF STUDY
NC.8.G.5NC.M2.G-CO.8NC.M2.G-SRT.3

Built-in questions follow the NC Standard Course of Study. You can upload your own question banks for any state's standards.

IN YOUR CLASSROOM

How to run it

  1. Introduce it

    Use the slide deck from the lab's resource shelf to set up the investigation.

  2. Work the missions

    Students sign in with their login cards and work through the missions, measuring and recording as they go.

  3. Review the data

    Every student's data is saved. View it in the Teacher Portal or download it as a CSV.

  4. Discuss and check

    Bring the class together around the results, then finish with the exit ticket.

FOR TEACHERS · FREE 30-DAY TRIAL

Try Triangle Forge with your class

Triangle Forge is one of 19 games and labs in Numeria. A free trial unlocks all of them, plus the Teacher Portal, login cards, one class leaderboard, and the slides, guides and activities that come with every lab.

Request Teacher Access

Up to 6 class periods, 40 students each. Each request is approved by hand, usually within a day.

Questions? justinowens@justinowensauthor.com