Triangle Congruence
CPCTC
Congruent Figures
Isosceles Triangles
Miscellaneous
100

List 3 of our 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

Is this triangle isosceles, why or why not? 

Yes, because it has two congruent base angles. 

100
What angle does triangle DEF and triangle GEH have in common? 

Angle E

200

Are these triangles congruent, if so how? 

ASA

200

What must be true about two triangles before you are able to apply CPCTC to them?

The two triangles must be congruent

200

If  NPLM ≅ EFGH , what angle is congruent to angle G?

Angle L

200

What is the value of x? 

50

200

What does HL stand for? 

Hypotenuse Leg

300

Are these two triangles congruent? If so, how? 

Yes, SSS

300


If these two triangles are congruent by SSS. What angles is congruent to angle A?

Angle D

300

Are these two triangles congruent? Explain why or why not. 

No 

300

Is this an isosceles triangle, if so find x. 

Yes, x = 12

300

What are the two things you can add when proving triangle congruence?

Vertical angles and Reflexive Property

400

Are these two triangles congruent, if so how?

Not congruent

400

If △ABD is congruent to △BDC, find x if BA = 3x and BC = 24.

x=8

400

If these two triangles are congruent, what is the value of x? 

 

x=3

400


Solve for x. 

x=2

400

Are these two triangles congruent, if so how? 

SAS

500

Are these two triangles congruent, if so how? 

Yes, HL
500

How are these two triangles congruent? And what side would be congruent to side FG by CPCTC?

Vertical angles and AAS.

GH = FG

500

These two triangles are congruent, find the value of x. 

x=15


500

If this is an isosceles triangle, find the value of b. 

b=32

500

Name 3 ways these two triangles can be congruent and how you got those three ways. 


SSS

SAS

ASA

AAS

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