9th Standard English Medium Maths Subject Geometry Book Back 5 Mark Questions with Solution Part - II

9th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 50

    5 Marks

    10 x 5 = 50
  1. ABCD is a parallelogram Fig such that ∠BAD = 120o and AC bisects ∠BAD show that ABCD is a rhombus.

  2. In the given Fig. if AB = 2, BC = 6, AE = 6, BF = 8, CE = 7, and CF = 7, compute the ratio of the area of quadrilateral ABDE to the area of ΔCDF(Use congruent property of triangles).

  3. In a quadrilateral ABCD, ∠A = 72° and ∠C is the supplementary of ∠A. The other two angles are 2x–10 and x + 4. Find the value of x and the measure of all the angles.

  4. The legs of a stool make angle 35 ° with the floor as shown in the figure. Find the angles x and y.

  5. Iron rods a, b, c, d, e, and f are making a design in a bridge as shown in the figure. If a || b , c || d , e || f , find the marked angles between
    (i) b and c
    (ii) d and e
    (iii) d and f
    (iv) c and f

  6. In parallelogram ABCD of the accompanying diagram, line DP is drawn bisecting BC at N and meeting AB (extended) at P. From vertex C, line CQ is drawn bisecting side AD at M and meeting AB (extended) at Q. Lines DP and CQ meet at O. Show that the area of triangle QPO is \(\frac { 9 }{ 8 } \) of the area of the parallelogram ABCD.

  7. Construct the circumcentre of the ΔABC with AB = 5 cm, ㄥA = 600 and ㄥB = 800. Also draw the circumcircle and find the circumradius of the ΔABC.

  8. If PQRS is a cyclic quadrilateral in which ㄥPSR=70° and ㄥQPR = 40°, then find ㄥPRQ.

  9. In the figure given, find the value of x° and y°.

  10. Construct the incentre of ΔABC with AB = 6 cm, ㄥB = 65° and AC = 7 cm. Also draw the incircle and measure its radius.

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