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    Question Bank Triangles

    Uploaded by

    sushilmaliyen
    Class IX Questions for chapter Triangles

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    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd

    Question Bank Triangles

    Uploaded by

    sushilmaliyen
    11 views9 pages
    Class IX Questions for chapter Triangles

    Original Title

    QUESTION BANK TRIANGLES

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    Class IX Questions for chapter Triangles

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    11 views9 pages

    Question Bank Triangles

    Uploaded by

    sushilmaliyen
    Class IX Questions for chapter Triangles

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 9

    MULTIPLE CHPOICE QUESTIONS

    1) In triangle ABC, if AB=BC and ∠B = 70°, ∠A will be:

    a. 70°

    b. 110°

    c. 55°

    d. 130°

    2) For two triangles, if two angles and the included side of one triangle are equal to two
    angles and the included side of another triangle. Then the congruency rule is:

    a. SSS

    b. ASA

    c. SAS

    d. None of the above

    3) If E and F are the midpoints of equal sides AB and AC of a triangle ABC. Then:

    a. BF = AC

    b. BF = AF

    c. CE = AB

    d. BF = CE
    4) ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides
    AC and AB, respectively. Then:

    a. BE > CF

    b. BE < CF

    c. BE = CF

    d. None of the above

    5) If ABC and DBC are two isosceles triangles on the same base BC. Then:

    a. ∠ABD = ∠ACD

    b. ∠ABD > ∠ACD

    c. ∠ABD < ∠ACD

    d. None of the above

    VERY SHORT ANSWER QUESTIONS


    6. If ΔABC is an isosceles triangle, and ∠B = 65°, find ∠A.
    7. An angle of a right triangle is 140 more than the another of its
    angle besides the right angle. Find its measure.
    8. If in ΔABC, AB ⊥BC and ∠ A =∠ C, then find the values of all the
    three angles.
    9. The angles of a triangle are in the ratio 2:3:7. Find the measure of
    each angle of the triangle.
    10. The sum of two angles of a triangle is 116° and their difference is
    24. Find the measure of each angle of the triangle.
    SHORT ANSWER QUESTIONS
    11. In a quadrilateral ACBD, AC = AD and AB are bisecting ∠A Show
    that ΔABC≅ ΔABD.
    12. In ΔABC, AD is the perpendicular bisector of BC. Show that ΔABC
    is an isosceles triangle where AB = AC.
    13. ABC is an isosceles triangle in which altitudes BE and CF are
    drawn to equal sides AC and AB respectively. Show that these
    altitudes are equal.

    14. AD and BC are equal perpendiculars to a line segment AB. Show


    that CD bisects AB.

    15. In the given below figure, AB = AC and BE = CD. Prove that


    AD = AE.

    LONG ANSWER QUESTIONS

    16. ΔABC is an isosceles triangle in which AB = AC. Side BA is


    produced to D such that AD = AB. Show that ∠BCD is a right angle.
    17. ABCD is a parallelogram and E is the mid-point of side BC. DE and
    AB on producing meet at F. Prove that AF = 2AB.

    18. In right triangle ABC, right-angled at C, M is the mid-point of


    hypotenuse AB. C is joined to M and produced to a point D such that
    DM = CM. Point D is joined to point B (see the figure). Show that:
    (i) ΔAMC ≅ ΔBMD
    (ii) ∠DBC is a right angle.
    (iii) ΔDBC ≅ ΔACB

    (iv) CM = 1/2 AB
    19. ΔABC and ΔDBC are two isosceles triangles on the same base BC
    and vertices A and D are on the same side of BC (see the figure). If AD
    is extended to intersect BC at P, show that
    (i) ΔABD ≅ ΔACD
    (ii) ΔABP ≅ ΔACP
    (iii) AP bisects ∠A as well as ∠D.
    (iv) AP is the perpendicular bisector of BC.

    CASE STUDY BASED QUESTIONS


    Q20. Aditya and his friends went to a forest, they saw a big tree got
    broken due to heavy rain and wind. Due to this rain the big branches
    AB and AC with lengths 5m fell down on the ground. Branch AC
    makes an angle of 30° with the main tree AP. The distance of Point B
    from P is 4 m. You can observe that ∆ABP is congruent to ∆ACP.
    (a) Show that ∆ABP is congruent to ∆ACP
    (b) Find the value of ∠ACP?
    (c) What is the total height of the tree?
    (d) Find the value of ∠BAP?

    Q21. In the middle of the city, there was a park ABCD in the form of a
    parallelogram form so that AB = CD, AB||CD and AD =BC, AD || BC.
    Municipality converted this park into a rectangular form by adding
    land in the form of ∆APD and ∆BCQ. Both the triangular shapes of
    land were covered by planting flower plants.

    (a)Show that ∆APD and ∆BQC are congruent.


    (b) What is the value of ∠m?
    (c) Which side is equal to PD?
    (d) Show that ∆ABC and ∆CDA are congruent.

    ANSWERS:
    1. C
    2. C
    3. D
    4. C
    5. A
    6. 500
    7. 380, 520
    8. 900, 450, 450
    9. 30°, 45° and 105°
    10. 46°, 70 °, 64°

    COMMON ERRORS
    1. Taking angles different than the one specified.
    2. Wrong corresponding angles.
    3. Wrong corresponding sides.
    4. Wrong congruency criteria.
    5. Circular proof.
    6. Wrong figure drawn.

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