
TRIANGLE CONGRUENCE AND CPCTC
Authored by JOCELYN PINERO
Mathematics
12th Grade

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38 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Which Triangle Congruence Theorem proves these triangles congruent?
AAS
ASA
SAS
HL
Cannot be proven congruent
Answer explanation
These triangles are congruent by ASA.
Angle-Side-Angle
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which Triangle Congruence Theorem proves these triangles congruent?
AAS
ASA
SAS
SSS
Cannot be proven congruent
Answer explanation
Mark the shared side as congruent. Then we can see the triangles are congruent by SSS.
Side-Side-Side
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which Triangle Congruence Theorem proves these triangles congruent?
AAS
ASA
SSA
HL
Cannot be proven congruent
Answer explanation
First, mark the vertical angles as congruent.
-------------
Then, focus on one triangle and see Angle-Angle-Side.
AAS
This is not ASA because the Side is NOT between the angles.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which Triangle Congruence Theorem proves these triangles congruent?
AAS
SAS
ASA
SSS
Answer explanation
First, mark the shared side as congruent.
Then, focus on just one of the triangles if you need to.
These triangles are congruent by Angle-Side-Angle.
ASA
5.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Which Triangle Congruence Theorem proves these triangles congruent?
AAA
ASA
AAS
Cannot be proved congruent!
Answer explanation
Even though all the angles are marked congruent, AAA, Angle-Angle-Angle is NOT a triangle congruence theorem.
This cannot prove triangles are congruent.
Remember "No screaming! AAA!!!"
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
For which situation could you prove
∆1 ≅ ∆2 using the HL (Hypotenuse-Leg) Theorem?
Answer explanation
The hypotenuses are only marked as congruent in the third picture.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How are the triangles congruent?
SAS
SSA
ASA
These are not congruent
Answer explanation
Even though both triangles have two sides and one angle marked congruent, they are not in the same order.
SAS is not congruent to SSA, so these triangles cannot be proven congruent.
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