Congruence of Triangles

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  • Q1

    What can be said for the following statement: "Two triangles with equal corresponding angles need not be congruent."

    Marks:1
    Answer:

    It is partially true.

    Explanation:
    Two triangles with equal corresponding angles need not be congruent. This is a case when one of the triangles is an enlarged/reduced copy of the other.
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  • Q2

    In ABC and DEF
    AC = DF
    AB = DE
    B = E = 90o
    So, ABC DEF by

    Marks:1
    Answer:

    RHS.

    Explanation:
    Here, the hypotenuse and one side of a right-angled triangle are respectively equal to the hypotenuse and one side of another right-angled triangle. This criterion is known as RHS congruence rule.
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  • Q3

    In ABC and DEF, AC = DF, AB = DE and BC = EF, then congruency of ABC and DEF is defined by

    Marks:1
    Answer:

    SSS.

    Explanation:
    Since the three sides of one triangle are equal to the three corresponding sides of another triangle. This criterion is known as SSS congruence rule.
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  • Q4

    In the given figure, triangle ABD is congruent to triangle ACD. The rule which defines their congruence is

    Marks:1
    Answer:

    SSS.

    Explanation:

    In the triangle ABD and ACD,
    AB = AC (given)
    BD = CD (given)
    AD = AD (Common)

    Hence, the triangle ABD is congruent to triangle ACD, by SSS rule.

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  • Q5

    Among two congruent angles, one has a measure of 600 ; the measure of the other angle is …….

    Marks:1
    Answer:

    600

    Explanation:
    When two angles are congruent, then measure of each angle is equal.
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