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16 November, 16:54

Suppose ΔXYZ is given, and you want to construct ΔABC so that the triangles are congruent. Which constructions would guarantee that ΔXYZ ≅ ΔABC?

Check all that apply.

A:constructing ΔABC so that AB ≅ XY, BC ≅ YZ, and CA ≅ ZX

B:constructing ΔABC so that AB ≅ XY, BC ≅ YZ, and ∠C ≅ ∠Z

C:constructing ΔABC so that AB ≅ XY, CA ≅ ZX, and ∠A ≅ ∠X

D:constructing ΔABC so that CA ≅ ZX, ∠B ≅ ∠Y, and ∠C ≅ ∠Z

E:constructing ΔABC so that ∠A ≅ ∠X, ∠B ≅ ∠Y, and ∠C ≅ ∠Z

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Answers (1)
  1. 16 November, 18:16
    0
    A, C, D is the correct answer

    Step-by-step explanation:

    Suppose ΔXYZ is given, and you want to construct ΔABC so that the triangles are congruent. Which constructions would guarantee that ΔXYZ ≅ ΔABC? Check all that apply.

    constructing ΔABC so that AB ≅ XY, BC ≅ YZ, and CA ≅ ZX

    constructing ΔABC so that AB ≅ XY, BC ≅ YZ, and ∠C ≅ ∠Z

    constructing ΔABC so that AB ≅ XY, CA ≅ ZX, and ∠A ≅ ∠X

    constructing ΔABC so that CA ≅ ZX, ∠B ≅ ∠Y, and ∠C ≅ ∠Z

    constructing ΔABC so that ∠A ≅ ∠X, ∠B ≅ ∠Y, and ∠C ≅ ∠Z
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