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

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