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Congruent triangles with a stated correspondence and some sides and angles given: which statement is true

The same question, asked 3 times: 13 Sep 2024 S1*, 18 Sep 2024 S1*, 19 Sep 2024 S2. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    13 Sep 2024 S1

    54
    If ΔPQR≅ΔABC\Delta PQR \cong \Delta ABC, AB=6AB = 6 cm, ∠B=50∘\angle B = 50^\circ and ∠A=70∘\angle A = 70^\circ, then which of the following is true?

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  2. Question 2

    18 Sep 2024 S1

    61
    If △ABC\triangle ABC and △QPR\triangle QPR are congruent triangles such that AB = 7 cm, AC = 8 cm, ∠B=65∘\angle B = 65^\circ and ∠C=75∘\angle C = 75^\circ, then which of the following is true?

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  3. Question 3

    19 Sep 2024 S2

    54
    ΔABC\Delta ABC and ΔDEF\Delta DEF are two triangles such that ΔABC≅ΔFDE\Delta ABC \cong \Delta FDE. If AB=17 cm, ∠B=52∘\angle B = 52^\circ and ∠A=95∘\angle A = 95^\circ, then which of the following options is true?

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