WorksheetsSolving Congruent Triangles CPCTC
Total questions: 20
Worksheet time: 20mins
What is CPCTC?
Congruent Parts Corresponding Triangles are Congruent
Corresponding Parts of Congruent Triangles are Congruent
Congruent Parts of Congruent Triangles are Corresponding
Corresponding Part of Corresponding Triangles are Congruent
Which segment is congruent to EF?
GF
HG
IF
FG
If ∆LMK ≅ ∆LMT, then ∠K ≅ ____
L
∠L
∠T
T
Line segments AB & PQ are congruent to each other. Length of AB = 7cm. What is the length of PQ?
(a)
If ∆ CMD ≌∆ RWY, what must be true?
m<C = m<Y
m<D = m<R
CD=RY
MD=RW
What does CPCTC stand for in congruent triangles?
Congruent Parts of Corresponding Triangles are Congruent
Corresponding Parts of Congruent Triangles are Congruent
Similar Parts of Congruent Triangles are Congruent
Corresponding Parts of Similar Triangles are Congruent
If ΔABC ≅ ΔXYZ, which statement is always true?
AB = AZ
∠B ≅ ∠Y
∠X ≅ ∠C
AC = XC
What does CPCTC stand for?
Colorful Pieces of Careful Tarantulas are Congruent
Congruent Parts of Cognizant T-Rexes are Charming
Corresponding Parts of Congruent Triangles are Congruent
What is the reason for statement 5? Hint: After you prove that triangles are congruent, then all corresponding parts are congruent.
SSS
CPCTC
Reflexive Property
Given
What does CPCTC stand for?
Congruent parts of congruent triangles are congruent
Corresponding parts of congruent triangles are congruent
Corresponding parts of corresponding triangles are corresponding
Given the two triangles, which statement is true by CPCTC?
∠ACB ≅ ∠ DFE
∠ BAC ≅ ∠ FDE
∠CAB ≅∠FED
∠ABC ≅ ∠ DEF
Solve for y
2
3
4
5
What is the "reason" for step 5 of the proof?
Angle Bisector Theorem
Reflexive property
CPCTC Theorem
Proof
What additional information is required to prove the two triangles are congruent by SAS?
A)
B)
C)
D)
Fill in the missing pieces of the proof.
Transitive Property, SAS(Side-Angle-Side)
Reflexive Property, SAS(Side-Angle-Side)
Reflexive Property, Vertical Angles Thm.
Transitive Property, SSS(Side-Side-Side)
Which triangle congruence theorem can be used to prove the triangles are congruent?
AAS
SSS
Not enough information given
ASA
Which triangle congruence theorem can be used to prove the triangles are congruent?
ASA
SAS
AAS
Not enough information
Write a paragraph proof for the following. It should be about 5 sentences. Paragraph proofs will be on your test.
We did it!
We did not do it and want to miss points on this question.
Which of the following is true by reflexive property?
A) For any number a, a = a
B) For any number a, a = b
C) For any number a, a + b = b + a
D) For any number a, a * 1 = a
Which triangle congruence theorem can be used to prove the triangles are congruent?
(a)
