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Two triangle are called similar if...

Two triangle are called similar if

A

No angles of two triangles are equal

B

One angle and one side is equal to another triangle angle and side

C

The two angles of one triangle are equal to the two anges of the other triangle

D

No sides are equal

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Knowledge Check

  • If in two triangles ABC and PQR, (AB)/(PQ) = (BC)/(RP) , then for the two triangles to be similar, which of the following condition is necessary?

    A
    `angleB = angleQ`
    B
    `angleA = angleP`
    C
    `angleB = angleP`
    D
    `angleA = angleQ`
  • If in triangles ABC and PQR, (AB)/(PQ) = (BC)/(RP) then write the equality of angles of the two triangles such that two triangles are similar.

    A
    `angle A = angle `
    B
    `angle B = angle P`
    C
    `angle C = angle Q`
    D
    `angle B = angle Q`
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    In the adjoining figure, angleABC = 75^@ , angleEDC = 75^@ . State which two triangle are similar and by which test? Also write the similarity of these two triangles by a proper one to one correspondence.

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    SAS Similarity Criterion: If in two triangle; one pair of corresponding sides are proportional and the included angles are equal then two triangles are similar.

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