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Which of the following pairs of triangle...

Which of the following pairs of triangles are congruent ? Also state the condition of congruency in each case :

(iv) In `DeltaABC` and `DeltaDEF, AB=EF, BC=DF` and `angleB=angleF`
(v) In `DeltaABC` and `DeltaPQR, AB=QR, AC=PR` and `angleB=angleR`
(vi) In `DeltaABC` and `DeltaPQR, angleA=angleP, AC=PR` and `AB=PQ`
(vi) In `DeltaABC` and `DeltaPQR, AB=QR, angle A=angle Q` and `AC=QP`.

Text Solution

Verified by Experts

The correct Answer is:
(i) Yes (SAS) (ii) Yes (AAS) (iii) No (iv) Yes (SAS) (v) No (vi) Yes (SAS) (vii) Yes (SAS)
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In the following figures, AB=PQ, AC=PR and AM=PN . Prove that DeltaABC cong DeltaPQR .

DeltaABC~DeltaPQR . If AB=4cm , PQ=6cm and QR=9cm . Find BC .

Knowledge Check

  • Assertion : In DeltaABC and DeltaPQR, AB=PQ AC=PR and angle BAC= angle QPR :. DeltaABC ~=DeltaPQR Reason : Both the triangles are congruent by SSS congruence.

    A
    If both assertion and reason are true and reason is the correct explanation of assertion.
    B
    If both assertion and reason are true but reason is not the correct explanation of assertion.
    C
    If assertion is true but reason is false.
    D
    If assertion is false but reason is true.

  • In DeltaABC, AB=AC and angleB=50^(@) . Then, angleA= ?

    A
    `40^(@)`
    B
    `50^(@)`
    C
    `80^(@)`
    D
    `130^(@)`

  • In a DeltaABC, AB=5 cm, AC=5 cm and angleA= 50^(@) , then angleB=

    A
    `35^(@)`
    B
    `65^(@)`
    C
    `80^(@)`
    D
    `40^(@)`

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    In DeltaABC , right angled at B, AB = 5 cm and angleACB==30^(@) . Find BC and AC.

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    In an isosceles DeltaABC if angleA=90^(@) and AB=AC , find angleB and angleC .

    Construct a DeltaABC in which AB = 5 cm, AC + BC = 8 cm and angleB = 60^(@) .

    If in two DeltaABC and DeltaPQR , (AB)/(QR)=(BC)/(PR)=(CA)/(PQ) , then

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