Term 2 Geometry Model Question Paper

8th Standard EM

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Maths

Time : 01:00:00 Hrs
Total Marks : 50
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. An isosceles triangle has equal sides each 13 cm and a base 24 cm in length. Find its height.

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. Mayan travelled 28 km due north and then 21 km due east. What is the least distance that he could have travelled from his starting point?

12. 5 x 3 = 15
13. Can a right triangle have sides that measure 5cm, 12cm and 13cm?

14. 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?

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

16. Δ ABC is equilateral and CD of the right triangle BCD is 8 cm. Find the side of the equilateral Δ ABC and also BD.

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

18. 4 x 5 = 20
19. Construct a trapezium BOAT in which $\overset { - }{ BO }$ is parallel to $\overset { - }{ TA }$, BO = 7 cm, OA = 6 cm, BA = 10 cm and TA = 6 cm. Also find its area.

20. 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.

21. 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.

22. Construct a trapezium DESK in which $\overset { \_ \_ }{ DE }$ is parallel to $\overset { \_ \_ }{ KS }$, DE = 8 cm, ES = 5.5 cm, KS = 5 cm and KD = 6 cm. Find also its area.