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If ALMN=AXYZ, which congruences are true by CPCTC? Check all that

apply.
L
M
N
☐A. ZX=ZN
B. MLYZ
C. LN = XZ
D. MN = YZ
E. ZY ZM
OF. ZZ = ZL
X

User Vodenjak
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1 Answer

2 votes

Final answer:

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent. It is a property used to prove that corresponding parts (sides and angles) of congruent triangles are congruent. In the given question, ALMN = AXYZ, so we can use CPCTC to identify the congruences that are true.

Step-by-step explanation:

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent. It is a property used to prove that corresponding parts (sides and angles) of congruent triangles are congruent.

In the given question, ALMN = AXYZ, so we can use CPCTC to identify the congruences that are true. By CPCTC, the following congruences are true:

  • LN = XZ: The corresponding sides are congruent.
  • MN = YZ: The corresponding sides are congruent.
  • ZY = ZM: The corresponding angles are congruent.

Therefore, options C, D, and E are true by CPCTC.

User Ataman
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