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WorksheetsTriangle Congruence Theorems
Total questions: 14
Worksheet time: 10mins
Congruent figures...
Have the same dimensions (side lengths and angle measures)
Are the same shape and size
Can be mapped onto one another using rigid motions
All of the above
Which of the following are NOT sufficient to prove two triangles are congruent? Choose all that apply.
SSS
AAA
ASA
SSA
AAS
Are the following triangles congruent? If so, how do you know?
Yes, SSS
Yes, SAS
Yes, ASA
Yes, AAS
No, insufficient information given
How would you name the triangle congruent to triangle ABC?
Triangle FMN
Triangle NMF
Triangle MNF
Triangle MFN
Are the following triangles congruent? If so, how do you know?
Yes, SSS
Yes, SAS
Yes, ASA
Yes, AAS
No, not enough information given
How would you name the triangle that is congruent to triangle XYZ?
Triangle WXZ
Triangle ZWX
Triangle XWZ
Triangle XZW
Are the following triangles congruent? If so, how do you know?
Yes, SSS
Yes, SAS
Yes, ASA
Yes, AAS
No, not enough information given
How would you name the triangle that is congruent to triangle FUN?
Triangle ANM
Triangle AMN
Triangle MNA
Triangle MAN
Are the following triangles congruent? If so, how do you know?
Yes, SSS
Yes, SAS
Yes, ASA
Yes, AAS
No, not enough information provided
Are the following triangles congruent? If so, how do you know?
Yes, SSS
Yes, SAS
Yes, SSA
Yes, HL
No, SSA does not prove that triangles are congruent
How would you name the triangle that is congruent to triangle CBA?
Triangle XYZ
Triangle ZYX
Triangle YZX
Triangle YXZ
Identify a pair of vertical angles in this diagram.
Angle C and Angle L
Angle CXB and Angle LXU
Angle CBX and Angle LUX
Angle XBU and Angle XUB
What property states that a side or angle is congruent to itself?
Substitution POE
Addition POE
Reflexive POE
Transitive POE
How can we show that triangle CBU is congruent to triangle LUB? (Hint: Use the information given and the reflexive POE.)
SSS
SAS
ASA
AAS
There is not enough information given to prove that the triangles are congruent.
