Common Reasons for Proofs
Congruence Statements
Solving for Angles & Sides
Triangle Congruence
100
The reason that goes with this step
AB=AB
What is Reflexive Property?
100
Given this congruence statement, the angle congruent to angle V.
What is
angleH
100
Given that triangle ABC is congruent to triangle DEF, find the measure of angle F.
What is 40 degrees?
100
The congruence conjecture that proves these are congruent triangles.
What is SSS?
200
The justification for this step:
∠BCA ≅ ∠ECD
What is Vertical Angles Congruence?
200
The side congruent to side VU
What is
bar{HI}
200
Given that triangle ABC is congruent to triangle DEF, find the length of side DF.
What is 96.6?
200
The congruence conjecture that proves these are congruent triangles.
What is SAS?
300
Given: C is the midpoint of AE.
The justification for this step:
bar{AC}congbar{CE}
What is Definition of midpoint?
300
A congruence statement for the two triangles represented by:
What is
triangleMNLcongtrianglePQR
300
Find the measure of angle F.
What is 40 degrees?
300
Are the following triangles congruent? If so, name the congruence conjecture that proves it.
What is AAS?
400
Given:
bar{AE} text( bisects )bar{BD}
The parts of the triangle that are now congruent:
What is
bar{BC} text( and )bar{CD}
400
The side congruent to IG
What is
bar{UW}
400
Are the following triangles congruent? If so, name the congruence conjecture that proves it.
What is SAS?
500
Given:
bar{BD} text( bisects )angleABC
The parts of the triangle that are now congruent
What is
angleABD text( and )angleCBD
500
Congruence statement for the triangles represented by:
What is
triangleADBcongtriangleCEB
500
The additional information needed to prove the two triangles are congruent using HL theorem
What is Angle F = 90 degrees?