SSS & HL
SAS
AAS & ASA
Missing Info
CPCTC
100
Are these triangles congruent? If congruent, write the congruence statement and a justification.
Example: △MPL ≅ △MNO by SSS
100
Are these triangles congruent through SAS? If so, write the congruence statement.
Yes, they share the common side length of line segment BD.
△ABD ≅ △CBD
100
Are these triangles congruent? If so, which theorem can you use and write the congruent statement.
No, since the congruent sides are not in the same position.
The sides are across from different angles.
100
What info do you need to prove these congruent by SSS?
RS \cong QD
100
What does CPCTC stand for?
Corresponding Parts of Congruent Triangles are Congruent
200
Can you prove these triangles are congruent? If congruent give a justification.
Yes the triangles are congruent by SAS.
200
Are these triangles congruent by SAS? If so, write the congruence statement.
Yes
△BCA ≅ △YZX
200
Are these triangles congruent through ASA? If so, write the congruence statement.
△ADB ≅ △CBD
200
What info do you need to prove these congruent by SAS?
JI \cong TS?
200
What must be true about two triangles before you are able to apply CPCTC to them?
The two triangles must be congruent
300
Are these triangles congruent by SSS? If so, write the congruence statement.
NO
300
Is this an example of triangle congruence through SAS? If so, write a triangle congruence statement.
No, triangles are not congruent through SAS.
300
Do we have enough information to prove that these 2 triangles are congruent? If so, make a triangle congruence statement.
No, there is not enough information to prove they are congruent through AAS.
300
What info do you need to prove these congruent by ASA?
DE \cong KJ
300
If these two triangles are congruent by SSS, what angle is congruent to angle A?
Angle D
400
Can you prove congruence by SSS or HL? Explain.
You can prove congruence through SSS because the shared side length is also congruent.
Cannot do HL because they are not right triangles.
400
Label the triangle diagram below so that you could use SAS to prove it congruent.
Answers may vary
400
Are these triangles congruent through AAS? If so, write the congruence statement.
△LMK ≅ △NMP
400
What info do you need to prove these congruent by AAS?
YZ \cong MN or XZ \cong LN
400
If △ABD is congruent to △BDC, find x if BA = 3x and BC = 24.
x=8
500
Can you prove congruence? If so, write a triangle congruence statement and state which theorem you are using.
△KJL ≅ △HGF by HL
500
Do we have enough information to prove that these 2 triangles are congruent through SAS?
Yes, the third angle will be congruent. Since 2 angles are already congruent, the third angle must be congruent as well. Additionally, the triangles share the third side length.
500
Are these triangles congruent through ASA? If so, write the congruence statement.
△BCA ≅ △EFD
500
This information is missing in order to prove that these two triangles are congruent.
No information is missing. These triangles are congruent by HL.
500
By which theorem are these two triangles congruent? And what side would be congruent to side FG by CPCTC?
AAS
Side GH