Triangle Congruence by SSS, SAS, ASA, AAS, HA, HL - Practice Worksheet

Sep 24, 2026

This educational worksheet provides a series of practice problems focused on identifying triangle congruence through fundamental geometric postulates and theorems, including SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), HA, and HL (Hypotenuse-Leg). Designed for geometry students, it offers various problem sets that require the learner to determine if pairs of triangles are congruent and to justify their conclusions by selecting the appropriate congruence criterion or identifying cases where the triangles are not congruent. The exercises reinforce essential logical deduction and proof skills necessary for mastering triangle geometry and spatial reasoning.

LanguageEnglish

CategoryExam

FormatPDF

Pages2

Reading Time5 min

AccessFree to download

Problem Set: Determining Triangle Congruence

FAQs

What does the acronym SSS stand for in triangle congruence?

SSS stands for Side-Side-Side, which states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

How do SAS and AAS differ as congruence criteria?

SAS (Side-Angle-Side) requires two sides and the included angle to be congruent, while AAS (Angle-Angle-Side) requires two angles and a non-included side to be congruent between two triangles.

What is the HL postulate used for?

The HL (Hypotenuse-Leg) postulate is used specifically to prove the congruence of two right triangles when their hypotenuses and one corresponding leg are congruent.

Sep 24, 2026

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