Common Reasons for Proofs
Congruence Statements
Random
Triangle Congruence
Triangle Congruence Postulates
100
What piece of information can you deduce from this picture and why?
AB=AB By the Reflexive property.
100
Given this congruence statement, name the angle congruent to angle V.
What is
angleH
100
What is the one piece of information missing that we would need to know for the triangles to be congruent by ASA?
EC = DC
100
Name the congruence postulate that proves these are congruent triangles.
What is SSS?
100
By what method can you prove these two triangles are congruent (if any)?
HL-Theorem
200
Given: C is the midpoint of AE.
As a result of the given statement, what can you deduce about the triangles?
AC=EC
200
Name the side congruent to side VU
What is
bar{HI}
200
What is one piece of missing information that we would need to say these triangles are congruent by AAS?
AC = DE
OR
BC = FE
200
Name the congruence postulate that proves these are congruent triangles.
What is SAS?
200
By what method can you prove these two triangles are congruent (if any)?
Not congruent
300
Given:
bar{AE} text( bisects )bar{BD}
What can we deduce from the given statement?
bar{BC} text( and )bar{CD}
300
Write a congruence statement for the two triangles represented by:
What is
triangleMNLcongtrianglePQR
300
ASA if <B = <E
300
Are the following triangles congruent? If so, name the congruence conjecture that proves it.
What is AAS?
300
By what method can you prove these two triangles are congruent (if any)?
Not congruent
400
What is the reason we can mark this as true:
∠BCA ≅ ∠ECD
Vertical Angles
400
Name the side congruent to IG
What is
bar{UW}
400
Solve for x and y
x=10
y=7
400
Are the following triangles congruent? If so, name the congruence theorem that proves it.
What is SAS?
400
By what method can prove these two triangles are congruent (if any)?
Answers may vary
ASA, AAS, SSS, HL, SAS
500
Given:
bar{BD} text( bisects )angle ABC
What can you deduce from the given information?
Statement:
angle ABD text( = )angle CBD
500
Write a congruence statement for the triangles represented by:
What is
triangleADBcongtriangleCEB
500
Solve for x?
x=32
500
The additional information needed to prove the two triangles are congruent using HL theorem
ANGLE F has to be equal to 90*
500
By what method can you prove these two triangles are congruent (if any)?
SSS