Test your understanding of triangle congruence and similarity with a mixed set of geometry problems. You’ll decide which criteria apply (SSS, SAS, ASA, AAS, HL, AA, SAS~, SSS~) and justify conclusions...
Pick a difficulty and question count to begin.
Triangle proofs get easier when you can quickly spot the right criterion. This quiz focuses on recognizing when triangles are congruent versus merely similar, and what that implies about corresponding parts.
You’ll work with classic criteria—SSS, SAS, ASA, AAS, and HL for congruence, plus AA, SAS~, and SSS~ for similarity—along with scale factors, proportional sides, and angle relationships.
Each question has 4 options and there’s no timer, so you can reason carefully instead of rushing. Before you start, pick how many questions you want to answer and set the difficulty; “Mixed” blends straightforward identification items with multi-step reasoning.
To keep things fair, easier questions emphasize direct pattern recognition, while harder ones add extra markings, indirect information, or require choosing what you can (and cannot) conclude.
Match corresponding vertices consistently before comparing sides/angles, and write proportions in the same order for both triangles. When a problem asks what must be true, focus on the minimum information required by the criterion, not extra facts that aren’t guaranteed.
Which criterion can be used to determine if two triangles are congruent if two sides and the included angle are known?
If two angles of one triangle are equal to two angles of another triangle, what can be concluded?
What is the criterion for two triangles to be congruent if all three sides of one triangle are equal to all three sides of another triangle?
This quiz has 119 questions on triangle congruence and similarity criteria.
No. Each question has 4 options and there is no timer, so you can work at your own pace.
You’ll see SSS, SAS, ASA, AAS, and HL for congruence, plus AA, SAS~, and SSS~ for similarity.
Use the start panel to select how many questions you want and set the difficulty level; Mixed combines easy, medium, and hard items.
A frequent error is using SSA as a congruence test or using AA to claim congruence; the quiz drills the correct conclusions.

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