Congruent Triangles Quiz

If ΔCFE ≅ ΔPTR, match each of the following statements.

• PR

• ∠P

• FE

• TR

• ∠C

• ∠E

• ∠R

• CE

If ΔCFE ≅ ΔPTR, match each of the following statements.

• ΔEFC

• ΔRPT

• ΔECF

• ΔFEC

• ΔTRP

• ΔRTP

Drag and drop the options into the correct spot below.

b

c

d

e

f

a

34

105

19 m

14 m

75

41

16 m

146

x = ​ (a)  
y = ​ (b)  

• 11
• 6
• 20
• 15
• 25
• 8.33333

For part (a), determine whether the triangles are congruent by SSS or SAS. If not congruent, write “not congruent.” If congruent, write a congruency statement for part (b).​
a) (a)  
b) ​ (b)  

• SAS
• not congruent
• ΔRPQ ≅ ΔPQS
• ΔPQR ≅ ΔPSQ
• SSS
• ΔRPQ ≅ ΔSPQ

For part (a), determine whether the triangles are congruent by SSS or SAS. If not congruent, write “not congruent.” If congruent, write a congruency statement for part (b).​
a) ​ (a)  
b) ​ (b)  

• not congruent
• N/A
• SSS
• SAS
• ΔYXZ ≌ ΔVZW
• ΔXYZ ≌ ΔZWV

For part (a), determine whether the triangles are congruent by SSS or SAS. If not congruent, write “not congruent.” If congruent, write a congruency statement for part (b).​
(a) ​ (a)   ​
(b) ​ (b)  

• SAS
• ΔABC ≅ ΔDCB
• SSS
• Not congruent
• ΔABC ≌ ΔBCD
• ΔABC ≌ ΔDBC

For part (a), determine whether the triangles are congruent by SSS or SAS. If not congruent, write “not congruent.” If congruent, write a congruency statement for part (b).

(a) ​ (a)   ​ (b)  

• SAS
• SSS
• Not Congruent
• N/A
• ΔJLK ≅ ΔLNM
• ΔJLK ≅ ΔNLM
• ΔJKL ≅ ΔLNM

​ ​ Drag and drop the statements and reasons to the appropriate location.​
1.​ (a)  
2. ​ (b)   ​
3. ​ (c)  
4. ​ (d)  
5. ​ (e)  

• Given
• Definition of Midpoint
• Reflexive Property of Congruence
• SAS
• Definition of Congruence
• SSS

1. 1. ​ (a)  
   2. ​ ​ (b)  
   3. ​ (c)  
   4.​ (d)  

2. 5. ​ (e)  

• Given
• Definition of Midpoint
• SAS
• SSS
• Alternate Interior Angles
• Definition of Congruence