SSS & HL
SAS
AAS & ASA
Missing Info
Potpourri
100
Are these triangles congruent? If so, write the congruence statement.
△MPL ≅ △MNO
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?
What is
RS \cong QD
100
Can you prove congruence? If so, write a triangle congruence statement and state which theorem you are using.
△KJL ≅ △HGF by HL
200
Can you prove these triangles are congruent through HL? If so, write a congruence statement.
Yes, Triangle XYZ is congruent to Triangle RST.
200
Are these triangles congruent through SAS? If so, write the congruence statement.
△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?
What is
JI \cong TS?
200
What property would you use to prove that angle NMP cong angle LMK ?
What is vertical angles?
300
Are these triangles congruent thru SSS? If so, write the congruence statement.
Not congruent thru SSS
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?
What is
DE \cong KJ
300
In the flowchart, two circles would show m angle E = 90 and mangle I = 90 . The following circle would show angle E cong angleI What would be the reasoning for this circle?
Definition of Congruence
400
Can you prove congruence through 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?
What is
YZ \cong MN or XZ \cong LN
400
This property would be used to prove AB cong AB .
What is Reflexive Property?
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.
What is no information is missing? These triangles are congruent by HL.
500
Are these triangles congruent? If so, write the congruence statement & state which theorem you are using.
Since BD is a shared side, by the reflexive property BD ≅ BD.
Since there are two pairs of congruent Angles, the third angles must also be congruent (180 theorem)
△BDA ≅ △DBC by SSS or SAS or AAS or ASA