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Congruence of T...

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  • Question 1
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    Which of the following statements is/are CORRECT?

    1. Two triangles which are congruent have same perimeter.
    2. If two angles and a side of two triangles are equal, then those triangles are congruent.
    3. If each side of a triangle is equal to each side of another triangle, then the triangles are called congruent.
    4. All of these

  • Question 2
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    In a triangle PQR, PQ = PR. If PS is a bisector drawn on QR, then the property by which △PQS is congruent to △PRQ is

  • Question 3
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    On the basis of the given figure, which of the following options is true?


  • Question 4
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    By which of the following criteria are the given triangles RST and UVT congruent?


  • Question 5
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    In the given figure, if A = C, AE is perpendicular to ED and DC is perpendicular to ED, then AD is equal to


  • Question 6
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    If the following triangles are proved congruent by using RHS rule, then


  • Question 7
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    By which of the following criteria can the given triangles be proved congruent?


  • Question 8
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    If ΔABC ≅ ΔDFE, A = 110° and E = 50°, find the measure of F.

  • Question 9
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    If △EFG ≅ △XYZ, then F and EG are respectively equal to

  • Question 10
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    Consider the given figure:

    If QR = RT and ST is parallel to QP, then which of the following options is true?

  • Question 11
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    Look at the following figure and tell which of the following relations is incorrect.


  • Question 12
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    In the given figure, △MON ≅ △ROP by the _______________ congruency rule.


  • Question 13
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    Which congruence criterion can be used to state that △ABC ≅ △DEF?


  • Question 14
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    Directions: Study the following figure and information carefully and answer the question that follows.

    In the given figure, AB = AE, and C and D are the midpoints of AB and CE, respectively.



    △ADB is congruent to

  • Question 15
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    Directions: Study the following figure and information carefully and answer the question that follows.

    In the given figure, AB = AE, and C and D are the midpoints of AB and CE, respectively.



    AEC is equal to

  • Question 16
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    Pick the odd one out.

  • Question 17
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    If ABC and EFG are two triangles, and BA = EG, BC = EF and ∠B =∠E, then which of the following options is true?

  • Question 18
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    Which of the following is correct for the given diagram?


  • Question 19
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    If in triangles MNO and PQR, MN = PQ, NO = QR and OM = RP, then which of the following statements is correct?

  • Question 20
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    In the given figure, if DA = BC and CD = AB, then which of the following options is true?


  • Question 21
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    The shape of the roof of a building is as given below. If BED = BEF, then what other condition can make △BED ≌ △BEF?


  • Question 22
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    A reflection of a triangle ABC can be seen in plane mirror as given below. Which of the following options is/are true?


  • Question 23
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    Consider the given figure and choose the correct option.


  • Question 24
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    Three students A, B and C write 3 statements.

    A writes ''Congruent triangles are always equal in size.''
    B writes ''All similar triangles are congruent.''
    C writes ''If two triangles are equal, then their corresponding sides are equal.''

    Who write(s) an incorrect statement?

  • Question 25
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    A truck has a container attached to its backside having length 8 m and breadth 9 m. Find the length(approximate) of DC knowing that all the corners are 90ο and the opposite sides are parallel.

  • Question 26
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    Match the following:

    Column-I Column-II

    1.
    (a) AAS postulate

    2.
    (b) SAS postulate

    3.
    (c) ASA postulate

    4.
    (d) SSS postulate

  • Question 27
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    Which of the following statements is correct?

    Statement I: If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement, then the triangles are congruent.
    Statement II: If two pairs of angles of two triangles are equal in measurement, and the included sides are equal in length, then the triangles are congruent.

  • Question 28
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    Which of the following statements is incorrect?

  • Question 29
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    Which of the following statements is TRUE?

  • Question 30
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    State 'T' for true and 'F' for false.

    1. Two line segments are said to be congruent plane figures if and only if their lengths are equal.
    2. Two triangles which look similar are also congruent.
    3. Two rectangles are said to be congruent plane figures if and only if one of them can be made to superimpose on the other so as to cover it exactly.
    4. In a square, only two angles are congruent to each other.
    5. Two circles are congruent if and only if they have equal radius.

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