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QUESTION IMAGE

read the sentences below, filling in the blanks with items from this li…

Question

read the sentences below, filling in the blanks with items from this list. each item will be used once.
asa
cpctc
sss
cpctc
aa
similar
sas
congruent
triangles that are identical in size and shape are called
the principle that states that corresponding parts of congruent triangles are congruent is known as
the postulate that uses three sides to prove triangle congruence is called
the postulate that uses two sides and the included angle to prove triangle congruence is called
the criterion that uses two angles to prove triangle similarity is called
triangles that have the same shape but different sizes are called
the postulate that uses two angles and the included side to prove triangle congruence is called
the principle that allows using congruent parts of triangles in proofs is known as

Explanation:

Brief Explanations
  • For the first sentence, "congruent" is the term for triangles identical in size and shape.
  • "CPCTC" (Corresponding Parts of Congruent Triangles are Congruent) is the principle for the second sentence.
  • "SSS" (Side - Side - Side) is the postulate using three sides for congruence (third sentence).
  • "SAS" (Side - Angle - Side) is for two sides and included angle (fourth sentence).
  • "AA" (Angle - Angle) is the criterion for triangle similarity with two angles (fifth sentence).
  • "similar" describes triangles with same shape but different sizes (sixth sentence).
  • "ASA" (Angle - Side - Angle) is the postulate with two angles and included side (seventh sentence).
  • The last one is also "CPCTC" as it's about using congruent parts in proofs.

Answer:

  1. congruent
  2. CPCTC
  3. SSS
  4. SAS
  5. AA
  6. similar
  7. ASA
  8. CPCTC