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#### Term 2 Geometry Model Question Paper

8th Standard EM

Reg.No. :
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Maths

Time : 00:45:00 Hrs
Total Marks : 40
5 x 1 = 5
1. If Δ GUT is isosceles and right angled, then ㄥTUG is ________.

(a)

300

(b)

400

(c)

450

(d)

550

2. The hypotenuse of a right angled triangle of sides 12cm and 16cm is __________.

(a)

28 cm

(b)

20 cm

(c)

24 cm

(d)

21 cm

3. The area of a rectangle of length 21 cm and diagonal 29 cm is __________cm2.

(a)

609

(b)

580

(c)

420

(d)

210

4. If the square of the hypotenuse of an isosceles right triangle is 50 cm2, the length of each
side is ____________.

(a)

25 cm

(b)

5 cm

(c)

10 cm

(d)

20 cm

5. The sides of a right angled triangle are in the ratio 5: 12: 13 and its perimeter is 120 units then, the sides are ______________.

(a)

25, 36, 59

(b)

10, 24, 26

(c)

36, 39, 45

(d)

20, 48, 52

6. 5 x 2 = 10
7. In the figure, find PR and QR.

8. Find the distance between the helicopter and the ship.

9. The sides of a triangle are 1.2 cm, 3.5 cm and 3.7 cm. Is this triangle a right triangle? If so, which side is the hypotenuse?

10. Rithika buys an LED TV which has a 25 inches screen. If its height is 7 inches, how wide is the screen? Her TV cabinet is 20 inches wide. Will the TV fit into the cabinet? Why?

11. In the figure, find MT and AH.

12. 5 x 3 = 15
13. A 20-feet ladder leans against a wall at height of 16 feet from the ground. How far is the base of the ladder from the wall?

14. Find LM, MN, LN and also the area of Δ LON.

15. Find the area of a rectangular plot of land shown in the figure.

16. Construct a parallelogram DUCK with DC = 8 cm, UK = 6 cm and ㄥDOU = 1100. Also find its area.

17. Construct a parallelogram BEAR with BE = 7 cm, BA = 7.5 cm and ㄥBEA = 800. Also find its area.

18. 2 x 5 = 10
19. Construct a trapezium CARD in which $\overset { \_ }{ CA }$ is parallel to $\overset { \_ }{ DR}$, CA = 9 cm, ㄥCAR = 70, AR = 6 cm and CD = 7 cm. Also find its area.

20. Construct a trapezium DEAN in which $\overset { \_ \_ }{ DE }$ is parallel to $\overset { \_ \_ }{ NA }$, DE = 7 cm, EA = 6.5 cm ㄥEDN = 1000 and ㄥDEA = 700. Also findits area.