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Geometry Worksheet – Congruent Triangles

NAME _____________________ Date ______________HR ______

a) Determine whether the following triangles are congruent. b) If they are, name the triangle congruence (pay attention to proper correspondence when naming the triangles) and then identify the Theorem or Postulate (SSS, SAS, ASA, AAS, HL) that supports your conclusion. c) Be sure to show any additional congruence markings you used in your reasoning. d) If the triangles cannot be proven congruent, state “not possible.” Then given the reason it is not possible. 1) 2) 3)

Congruence:

Congruence:

Congruence:

∆ABD ≅ ∆ _________

∆EFG ≅ ∆ _________

∆EMN ≅ ∆ _________

Reason:

Reason:

Reason:

4)

5)

6)

Congruence:

Congruence:

Congruence:

∆STU ≅ ∆ ________

Reason:

∆YZA ≅ ∆ ________

Reason:

∆CDE ≅ ∆ ________

Reason:

7)

8)

9)

Congruence:

Congruence:

Congruence:

∆KJM ≅ ∆ ________

Reason:

∆NPR ≅ ∆ ________

Reason:

∆STU ≅ ∆ ________

Reason:

10)

11)

12)

|

Congruence:

Congruence:

Congruence:

∆XYZ ≅ ∆ ________

Reason:

∆DEG ≅ ∆ ________

Reason:

∆HJK ≅ ∆ ________

Reason:

13)

14)

15)

Congruence:

Congruence:

Congruence:

∆STV ≅ ∆ ________

Reason:

∆WXY ≅ ∆ ________

Reason:

∆BCF ≅ ∆ ________

Reason:

16)

17)

18)

Congruence:

Congruence:

Congruence:

∆GJK ≅ ∆ ________

Reason:

∆KLP ≅ ∆ ________

Reason:

∆NSQ ≅ ∆ ________

Reason:

19)

20)

21)

Congruence:

Congruence:

Congruence:

∆LMN ≅ ∆ ________

Reason:

∆STV ≅ ∆ ________

Reason:

∆WXY ≅ ∆ ________

Reason:

22)

23)

24)

S

Congruence:

Congruence:

Congruence:

∆BCE ≅ ∆ ________

Reason:

∆GHJ ≅ ∆ ________

Reason:

∆NPM ≅ ∆ ________

Reason:

25)

26)

27)

Congruence:

Congruence:

Congruence:

∆TUV ≅ ∆ ________

Reason:

∆BCZ ≅ ∆ ________

Reason:

∆EFG ≅ ∆ ________

Reason:

Use the given...

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