IXL - Similar and congruent triangles: mixed review (Geometry practice)

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Learn with an example

question

Which rule explains why these triangles are congruent?

ASA

SSS

AAS

SAS

These triangles cannot be proven congruent.

key idea

solution

First, look for congruent sides and angles.

∠

≅

∠

Next, notice that the triangles share

By the reflexive property of congruence,

≅

Finally, write the congruency statements.

∠

≅

Angle

∠

Angle

≅

Side

The congruent sides and angles form

AS.

This is not one of the four ways to show that triangles are congruent. There is not enough information to prove that the triangles are congruent.

Looking for more? Try these:

Lesson: Similarity

Lesson: Congruence

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Teacher tools

Work it out

Not feeling ready yet? These can help:

Similarity rules for triangles

L.6SSS, SAS, ASA, and AAS Theorems

Lesson: Similarity

Lesson: Congruence

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