Proving Triangle Similarity

Proving Triangle Similarity

Grade 10th Grade · Math · 45 min

What's Included

Learning Objective

I can prove that two triangles are similar using the AA, SAS, and SSS similarity theorems.

Warm-Up Video

HCCMathHelp · 6:58

Triangle Similarity - SSS, SAS, and AA 128-2.28

Guided Notes

3 key concepts

  • 1

    Side-Side-Side (SSS) similarity states that two triangles are similar if the lengths of their corresponding sides are proportional.

  • 2

    Side-Angle-Side (SAS) similarity states that two triangles are similar if they have two pairs of corresponding sides that are proportional and the included angles are congruent.

  • 3

    Angle-Angle (AA) similarity states that two triangles are similar if they have two pairs of corresponding angles that are congruent.

Practice Questions

9 questions · Multiple choice & Short answer

Exit Ticket

Quick comprehension check

Triangle PQR has sides PQ = 6, QR = 8, and RP = 10. Triangle XYZ has sides XY = 18, YZ = 24, and ZX = 30. Are these triangles similar? Show the ratios of corresponding sides to justify your answer.

Teacher Guide

Get the complete package:

  • Answer keys for all questions
  • Differentiation strategies
  • Extension activities
  • Printable student handouts