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Triangle congruence criteria

Mathematics — first biennium · Lesson

Euclidean geometry · Triangles

Triangle congruence criteria

A congruence criterion must fix both shape and size. Matching data are not enough: their arrangement matters.

Key idea
Formula matematica
Similar example
Formula matematica
What you need to know before the exercises

In this lesson: Recognize when data are sufficient for congruence and correctly apply SSS, SAS and ASA.

How to proceed: Identify corresponding data. For SAS the angle must be included between the two sides; knowing only three angles fixes shape but not size.

You can already assume: Proof language and triangle classification.

Try it now

Compare the data of the two triangles and decide whether they are enough to conclude congruence.

Guided

Completed exercises: 0/5 · Correct on first attempt: 0

How to reason

Identify corresponding data. For SAS the angle must be included between the two sides; knowing only three angles fixes shape but not size.

Given data: AC=A'C', BC=B'C', ∠C=∠C'

ABC A′B′C′
Your competency map

What you need to know for Triangle congruence criteria

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Current topic Strong skill Review due Needs reinforcement To be mastered Optional support

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