Geometry Model Question Paper

9th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 50
    5 x 1 = 5
  1. In a parallelogram \(\angle{A}:\angle{B}=1:2\) Then ㄥA ............

    (a)

    30°

    (b)

    60°

    (c)

    45°

    (d)

    90°

  2. Which of the following is a formula to find the sum of interior angles of a quadrilateral of n-sides?

    (a)

    \(\frac { n }{ 2 } \) x 180

    (b)

    \(\left( \frac { n+1 }{ 2 } \right) \)1800

    (c)

    \(\left( \frac { n-1 }{ 2 } \right) \)1800

    (d)

    (n-2)1800

  3. The angle subtend by equal chords of a circle at the centre is________

    (a)

    Complementary

    (b)

    Supplementary

    (c)

    equal

    (d)

    unequal

  4. The distance between the longest chord of a circle and the centre is________

    (a)

    1

    (b)

    0

    (c)

    2

    (d)

    5

  5. The perpendicular line from the centre of the circle to the chord divided the chord in the ratio________

    (a)

    1: 1

    (b)

    1: 2

    (c)

    2: 1

    (d)

    1: 3

  6. 5 x 2 = 10
  7. In the given diagram PQRS is a parallelogram.
    ㄥS = 4x - 60, ㄥQ = 30 - x. Find the angles of P and R.

  8. The radius of a circle 15 em and the length of one of its chord is 24 cm. Find the distance of the chord from the centre.

  9. In a circle, AB and CD are two parallel chords with centre 0 and radius 5 em such that AB = 8 cm and CD = 6 em determine the distance between the chords?

  10. Find the value of Xo

  11. Find the value of Xo

  12. 5 x 3 = 15
  13. In the figure find x0 and y0.

  14. The angles of quadrilateral are in the ratio 3:5:9:13. Find all the angles of the quadrilateral.

  15. ABCD is a parallelogram and AP and CQ are perpendic from vertex A and C on diagonal BD. Show that (i) ΔAPB ≅ ΔCQD (ii) AP=CQ

  16. ABCD is a rectangle and P, Q, Rand S are the mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.

  17. Construct an equilateral triangle of side 6cm and locate its centroid and also its incentre. What do you observe from this?

  18. 4 x 5 = 20
  19. Diagonal AC of a parallelogram ABCD bisects ㄥA. Show that
    (i) it bisects ㄥC also (ii) ABCD is a rhombus.

  20. Draw an equilateral triangle of side 8 cm and locate its incentre .Also   draw the incircle

  21. Construct  \(\triangle\)ABC in which AB = BC = 8cm and \(\angle \)B =70o. Locate its in centre and draw the incircle
     

  22. Draw and locate the centroid of the triangle ABC where right angle at A, AB = 8 cm and AC = 6 cm.

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