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Congruent triangles: match corresponding sides and angles from the vertex order

This type of question, asked 7 times: 10 Sep 2024 S3, 11 Sep 2024 S2, 13 Sep 2024 S1, 18 Sep 2024 S1, 19 Sep 2024 S2, 24 Sep 2024 S1, 22 Sep 2025 S1. All 7 questions below, oldest first.

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  1. Question 1

    10 Sep 2024 S3

    55
    If △PQR≅△MON\triangle PQR \cong \triangle MON such that ∠PQR=82∘\angle PQR = 82^\circ,∠QRP=47∘\angle QRP = 47^\circ,∠RPQ=51∘\angle RPQ = 51^\circ,∠MON=(5y−8)∘\angle MON = (5y - 8)^\circ,QR = 24 and ON = 3x + y,then find (x + y).

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  2. Question 2

    11 Sep 2024 S2

    64
    △\triangleABC and △\triangleRPQ are congruent, then the side of △\triangleABC that corresponds to PQ is:

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  3. Question 3

    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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  4. Question 4

    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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  5. Question 5

    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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  6. Question 6

    24 Sep 2024 S1

    61
    △ABC\triangle ABC and △PQR\triangle PQR are respectively congruent. If AB=8=PQAB = 8 = PQ, BC=10=QRBC = 10 = QR and ∠B=35∘\angle B = 35^\circ, then what is the value of ∠P+∠C\angle P + \angle C?

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  7. Question 7

    22 Sep 2025 S1

    70
    Consider two triangles, △ABC\triangle ABC and △DEF\triangle DEF. It is stated that these two triangles are congruent to each other, which is denoted as △ABC≅△DEF\triangle ABC \cong \triangle DEF and ∠A=50∘\angle A = 50^\circ, what is the measure of ∠D\angle D?

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