CBSE TEST PAPER-03 CLASS - IX Mathematics (Quadrilateral) 1. In the fig ABCD is a Parallelogram. The values of x and y are (a) 30, 35 (b) 45, 30 (c) 45, 45 (d) 55, 35 2.

D

0

C

0

[1]

(y +

(

) 80 x+

) 10 x(3

25 )

0

A

B

In fig if DE=8cm and D is the mid Point of AB, then the true statement is (a) AB=AC (b) DE||BC (c) E is not mid Point of AC (d) DE ≠ BC

A

[1]

E

D

B

C

3.

The sides of a quadrilateral extended in order to form exterior angler. The sum [1] of these exterior angle is (a) 180° (b) 270° (c) 90° (d) 360° ABCD is rhombus with ∠ABC = 40°. The measure of ∠ACD is (a) 90° (b) 20° (c) 40° (d) 70° In fig AD is a median of ∆ABC , E is mid-Point of AD.BE produced meet AC at F. Show that AF =

1 AC 3

B A

4.

[1]

5.

[2]

F

E

D

C

6. 7.

Prove that a quadrilateral is a parallelogram if the diagonals bisect each other. In fig ABCD is a Parallelogram. AP and CQ are Perpendiculars from the Vertices A and C on diagonal BD. Show that (i) ∆APB ≅ ∆CQD (ii) AP = CQ

C

[2] [2]

D

P Q

B

A

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8. 9.

ABCD is a Parallelogram E and F are the mid-Points of BC and AD respectively. [2] Show that the segments BF and DE trisect the diagonal AC. In fig ABCD is a quadrilateral P,Q,R and S are the

D R C

[3]

mid Points of the sides AB, BC,CD and DA, AC is diagonal. Show that (i) SR||AC (ii) PQ=SR (iii) PQRS is a parallelogram (iv) PR and SQ bisect each other 10. 11. In ∆ABC , D, E , F are respectively the mid-Paints of sides AB,DC and CA. show [3] that ∆ABC is divided into four congruent triangles by Joining D,E,F. ABCD is a Parallelogram is which P and Q are mid-points of apposite sides AB [3] and CD. If AQ intersect DP at S BQ intersects CP at R, show that (i) APCQ is a Parallelogram (ii) DPBQ is a parallelogram (iii) PSQR is a parallelogram...