Worksheet - Congruent Triangles - Free Printable

1) Congruence: ΔABD ≅ ΔCBD
Reason: SAS (Side-Angle-Side) — BD is common, ∠ABD ≅ ∠CBD (given by angle markings), and AB ≅ CB (given by side markings).

2) Congruence: ΔEFG ≅ ΔHJK
Reason: ASA (Angle-Side-Angle) — ∠E ≅ ∠H (given by angle markings), EF ≅ HJ (given by side markings), and ∠F ≅ ∠J (given by angle markings).

3) Congruence: not possible
Reason: Only one pair of corresponding sides (MN ≅ PQ) and one pair of corresponding angles (∠M ≅ ∠P) are marked. This is insufficient to prove congruence; SSA is not a valid congruence theorem.

4) Congruence: ΔSTU ≅ ΔWVX
Reason: SSS (Side-Side-Side) — ST ≅ WV, TU ≅ VX, and SU ≅ WX (all given by side markings).

5) Congruence: ΔYZA ≅ ΔBZA
Reason: SAS (Side-Angle-Side) — YZ ≅ BZ (given by side markings), ∠YZA ≅ ∠BZA (given by angle markings), and ZA is common.

6) Congruence: ΔCDE ≅ ΔGFE
Reason: HL (Hypotenuse-Leg) — CD ≅ GF (given by side markings), DE ≅ FE (given by side markings), and both triangles are right triangles (∠D and ∠F are right angles).