Triangle Congruence
CPCTC
Congruent Figures
Types of Triangles
Miscellaneous
100
List the 5 ways to prove triangle congruence.
AAS,SAS,SSS,ASA,HL
100
What does CPCTC stand for?
Corresponding Parts of Congruent Triangles are Congruent
100
If NPLM ≅ EFGH , what line is congruent to NP?
EF
100
What type of triangle is this and why?
Isosceles because it has two congruent base angles.
100
The two lines shown are parallel cut by a transversal. What is the value of x? 
x=12
200
Are these two triangles congruent, if so how?
Not congruent
200
What must be true about two triangles before you are able to apply CPCTC to them?
The two triangles must be congruent
200
Are these two triangles congruent? Explain why or why not.
No, one side is not congruent.
200
What kind of triangle is this? 
Scalene and right
200
What is the value of y?
y=10
300
Are these two triangles congruent, if so how?
Yes, HL
300
What angle must be congruent to prove these two triangles are congruent by AAS?
<EGF = <HGJ
300
What is the value of x? 
x=5
300
Solve for x.
x=2
300
What reason can be used for statement 3 of the proof?
Vertical angles are congruent
400
Name 3 ways these two triangles can be congruent and how you got those three ways. 
SSS
SAS
ASA
AAS
400
If △ABD is congruent to △BDC, find x if BA = 3x and BC = 24.
x=8
400
What rigid motion(s) would prove these two shapes to be congruent? 
Answers may vary:
Translation to the left and down and reflection across y=-1
400
If this is an isosceles triangle, find the value of b.
b=32
400
A) 102
500
What are the two definitions you can use (according to the diagram) when proving triangle congruence?
Vertical angles and Reflexive Property
500
These two triangles are congruent, find the value of x. 
x=15
500
Are the following shapes congruent? Why or why not? 
They are not congruent, they don't have sides congruent to use either AAS or ASA
500
What type of triangle is shown? 
Scalene!
500
<M=85 degrees