Geometry Two Marks Questions

8th Standard EM

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Maths

Time : 00:45:00 Hrs
Total Marks : 30
    15 x 2 = 30
  1. In the given fi gure YH||TE . Prove that ΔWHY~ΔWET and also fi nd HE and TE.

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

  3. In the given figure, D is the midpoint of OE and ∠CDE = 90°. Prove that ΔODC ≡ΔEDC

  4. In the given figure, find PT given that l1|| l2.

  5. In the figure, given that ∠1 =∠2 and ∠3 ≡∠4. Prove that ΔMUG ≡ ΔTUB.

  6. In the figure, ∠TEN≡∠TON=90o and TO ≡ TE. Prove that ∠ORN≡∠ERN.

     

  7. In the figure, PQ ≡ TS, Q is midpoint of PR, S is the midpoint TR and ∠PQU≡∠TSU. Prove that QU ≡ SU.

  8. Construct the following quadrilaterals with the given measurements and also find their area.
    KITE, KI= 5.4 cm, IT = 4.6 cm, TE= 4.5 cm, KE = 4.8 cm and IE = 6 cm.

  9. Construct the following quadrilaterals with the given measurements and also find their area.
    PLAY, PL= 7 cm, LA = 6 cm, AY= 6 cm, PA = 8 cm and LY = 7 cm.

  10. Construct the following quadrilaterals with the given measurements and also find their area.
    AGRI, AG= 4.5 cm, GR = 3.8 cm, ∠A = 60°, ∠G = 110° and ∠R = 90°.

  11. 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°.

  12. Fill in the blanks with the correct term from the given list.
    (in proportion, similar, corresponding, congruent shape, area, equal)
    (i) Corresponding sides of similar triangles are _______.
    (ii) Similar triangles have the same _________ but not necessarily the same size.
    (iii) In similar triangles, ______ sides are opposite to equal angles.
    (iv) The symbol ≡ is used to represent _______ triangles.
    (v) The symbol ~ is used to represent ________ triangles

  13. Is it possible to construct a quadrilateral PQRS with PQ = 5 cm, QR = 3 cm, RS = 6 cm, PS = 7 cm and PR = 10 cm. If not, why?

  14. In the figure AB\(\bot \) BC and DE\(\bot \)AC prove that \(\triangle \)ABC ~\(\triangle \)AED.

  15. In the given figure if \(\angle \)P =\(\angle \)RTS, prove that \(\triangle \)RPQ ~\(\triangle \) RTS.

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