Geometry Book Back Questions

8th Standard EM

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Maths

Time : 00:45:00 Hrs
Total Marks : 30
    5 x 1 = 5
  1. Two similar triangles will always have ________angles

    (a)

    acute

    (b)

    obtuse

    (c)

    right

    (d)

    matching

  2. If in triangles PQR and XYZ, \(\frac{PQ}{XY}=\frac{QR}{ZX}\) then they will be similar if

    (a)

    ∠Q=∠Y

    (b)

    ∠P=∠X

    (c)

    ∠Q=∠X

    (d)

    ∠P≡∠Z

  3. A flag pole 15 m high casts a shadow of 3 m at 10 a.m. The shadow cast by a building at the same time is 18.6 m. The height of the building is

    (a)

    90 m

    (b)

    91 m

    (c)

    92 m

    (d)

    93 m

  4. If ΔABC~ΔPQR in which ∠A = 53o and ∠Q = 77o, then R is

    (a)

    50°

    (b)

    50°

    (c)

    70°

    (d)

    80°

  5. In the figure, which of the following statements is true?

    (a)

    AB = BD

    (b)

    BD < CD

    (c)

    AC = CD

    (d)

    BC = CD

  6. 3 x 2 = 6
  7. In the given fi gure, if ΔEAT~ΔBUN, find the measure of all angles.

  8. In the given fi gure, ∠CIP≡∠COP and ∠HIP≡∠HOP . Prove that IP ≡ OP.

  9. Construct the following quadrilaterals with the given measurements and also find their area.
    YOGA, YO = 6 cm, OG = 6 cm, ∠O = 55°, ∠G = 35° and ∠A = 100°.

  10. 3 x 3 = 9
  11. Find the unknowns in the following figures

  12. (Illustrating SSS similarity)
    Prove that ΔPQR ~ ΔPRS in the given Fig

  13. (Illustrating RHS Congruence)
    If TAP is an isosceles triangle with TA = TP and ∠TSA = 90°
    Is ∠P = ∠A? Why?

  14. 2 x 5 = 10
  15. Construct a quadrilateral MATH with MA=4 cm, AT= 3.6 cm, TH = 4.5 cm, MH = 5 cm and ∠A = 85°. Also find its area.

  16. Construct a quadrilateral ABCD with AB=7 cm, AD=5 cm, CD = 5 cm, ∠BAC=50° and ∠ABC=60°. Also find its area.

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