Geometry NAME Worksheet – Congruent Triangles Date HR a ...

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:

ABD _________

Congruence:

EFG _________

Congruence:

EMN _________

Reason:

Reason:

Reason:

4)

5)

6)

Congruence:

STU ________

Reason:

Congruence:

YZA ________

Reason:

Congruence:

CDE ________

Reason:

7)

8)

9)

Congruence:

KJM ________

Reason:

Congruence:

NPR ________

Reason:

Congruence:

STU ________

Reason:

10)

11)

12)

|

Congruence:

XYZ ________

Reason:

Congruence:

DEG ________

Reason:

Congruence:

HJK ________

Reason:

13)

14)

15)

Congruence:

STV ________

Reason:

Congruence:

WXY ________

Reason:

Congruence:

BCF ________

Reason:

16)

17)

18)

Congruence:

GJK ________

Reason:

Congruence:

KLP ________

Reason:

Congruence:

NSQ ________

Reason:

19)

20)

21)

Congruence:

LMN ________

Reason:

Congruence:

STV ________

Reason:

Congruence:

WXY ________

Reason:

22)

23)

24)

S

Congruence:

BCE ________

Reason:

Congruence:

GHJ ________

Reason:

Congruence:

NPM ________

Reason:

25)

26)

27)

Congruence:

TUV ________

Reason:

Congruence:

BCZ ________

Reason:

Congruence:

EFG ________

Reason:

Use the given information to mark the diagram appropriately. 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 would be used to prove the triangles congruent. If the triangles cannot be proven congruent, state "not possible."

28)

29)

Given: CD AB; B D

Congruence:

CDE ________

Reason:

30)

Given: JN LM ; NK MK; N M

Congruence:

JKN ________

Reason:

31)

Given: AC BD; AD BC

Congruence:

ABC ________

Reason:

Given: SQ and PR bisect each other

Congruence:

RST ________

Reason:

32)

Given: GH bisects EGF ;

EG FG

Congruence: EGH ________

Reason:

Now choose one of the problems from 28-32 and create a flow chart proof. Then transform your flow chart proof into a 2 column proof. Your "given" will be the "Given" from the problem and your "prove" will be the "Congruence" statement you created.

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download