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Congruent Triangles Worksheet

Geometry Math · printable worksheet (PDF) with answer key · 14 problems · CCSS HSG.CO.B.7, HSG.CO.B.8

A printable geometry congruent triangles practice worksheet with 14 problems and a complete, step-by-step answer key — formatted to print cleanly on standard paper. Included in the one-time $20 unlock for the full NudgeLearn library.

Sample problems

Two triangles are congruent when their matching sides and angles are equal. The shortcuts are SSS, SAS, ASA, AAS, and (for right triangles) HL. Tick marks show equal sides and arcs show equal angles. Once triangles are congruent, every pair of matching parts is equal (CPCTC: Corresponding Parts of Congruent Triangles are Congruent).

1. Triangle $A B C$ has all three sides equal to the matching three sides of triangle $D E F$ . Which congruence shortcut proves the triangles congruent?
2. In triangles $P QR$ and $S T U$ , $P Q = S T$ , angle $Q$ = angle $T$ , and $QR = T U$ . Which shortcut proves them congruent?
3. Name the congruence shortcut shown by the marked triangles.
4. Name the congruence shortcut shown by the marked triangles, where the marked side lies between the two marked angles.

Plus 10 more problems and a full answer key in the PDF.

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