SAS
SSS
Congruence "Proofs"
ASA
100
Are these 2 triangles congruent?
Yes, they are congruent by SAS
100
Yes, the triangles are congruent by SSS
100
Assume:
C is the midpoint of BD and AE
What are the three relationships that prove the triangles congruent?
BC congruent to CD (since C is the midpoint)
AC congruent to CE (since C is the midpoint)
<BCA congruent to <DCE (vertical angles)
SAS
100
Are these triangles congruent?
Yes, they are congruent by ASA
200
Are these two triangle congruent?No, they are related by ssa, not sss, asa, aas, or sas.
200
Is this proved by SSS?No. It is not proved by SSS
200
What does "CPCTC? stand for?
Corresponding Parts of Congruent Triangles are Congruent
200
Are these two triangles congruent?
Yes, they are proved by ASA
300
Which postulate proves that these two triangles congruent?SAS
300
Are these triangles congruent?
Yes, the triangles are congruent by SSS
300
Assume:
DA congruent to DC
AB congruent to CB
What three congruent statements prove the triangles congruent, and what theorem proves the triangles congruent?
DA congruent to DC (Given)
AB congruent to CB (Given)
DB congruent to DB (Reflexive
SSS
DAB congruent to DCB
300
Are these triangles congruent by ASA?
No, they are proved congruent by AAS.
400
Yes they are congruent
400
Are these triangles congruent by SSS?
No, they are congruent by SAS
400
Assume:
A is the midpoint of ED and BC.
What three statements prove the triangle congruent, and what theorem proves the triangles congruent?
EA congruent to DA (since A is the midpoint)
BA congruent to AC (since A is the midpoint)
<EAC congruent to <BAD (Vertical Angles)
SAS
400
Are these triangles congruent by ASA?
No
500
If we know segment KA bisects angle K, are triangles JAK and NAK congruent?
Yes, they are by SAS
500
No, they are not.
500
What three postulates prove the triangles congruent?
SAS
ASA
SSS
500
Are these triangles congruent? If so, write a congruency statement.
What is
triangleABCcongtriangleEDC