#### Term 2 Geometry Model Question Paper

7th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 35
10 x 1 = 10
1. The angles of a triangle are in the ratio 2: 3: 4. Then the angles are

(a)

20, 30, 40

(b)

40, 60, 80

(c)

80, 20, 80

(d)

10, 15, 20

2. In the given figure, which of the following statement is true?

(a)

x + y + z = 1800

(b)

x + y + z = a + b + c

(c)

x + y + z = 2(a + b + c)

(d)

x + y + z = 3(a + b + c)

3. In a ΔABC, AB = AC. The value of x is ____.

(a)

800

(b)

1000

(c)

1300

(d)

1200

4. If an exterior angle of a triangle is 1150 and one of the interior opposite angles is 350, then the other two angles of the triangle are

(a)

450, 600

(b)

650, 800

(c)

650, 700

(d)

1150, 600

5. If two plane figures are congruent then they have

(a)

same size

(b)

same shape

(c)

same angle

(d)

same shape and same size

6. Which of the following methods are used to check the congruence of plane figures?

(a)

translation method

(b)

superposition method

(c)

substitution method

(d)

transposition method

7. Which of the following rule is not sufficient to verify the congruency of two triangles.

(a)

SSS rule

(b)

SAS rule

(c)

SSA rule

(d)

ASA rule

8. Two students drew a line segment each. What is the condition for them to be congruent?

(a)

They should be drawn with a scale.

(b)

They should be drawn on the same sheet of paper.

(c)

They should have different lengths.

(d)

They should have the same length.

9. In the given figure, AD = CD and AB = CB. Identify the other three pairs that are equal.

(a)

ㄥADB = ㄥCDB, ㄥABD = ㄥCBD, BD = BD

(b)

AD = AB, DC = CB, BD = BD

(c)

AB = CD, AD = BC, BD = BD

(d)

ㄥADB = ㄥCDB, ㄥABD = ㄥCBD, ㄥDAB = ㄥDBC

10. In ΔABC and ΔPQR, ㄥA =500 =ㄥP, PQ = AB, and PR = AC. By which property ΔABC and ΔPQR are congruent?

(a)

SSS property

(b)

SAS property

(c)

ASA property

(d)

RHS property

11. 5 x 2 = 10
12. Two line segments $\overset { \_ \_ }{ AD }$ and $\overset { \_ \_ }{ BC }$ intersect at O. Joining $\overset { \_ \_ }{ AB }$ and $\overset { \_ \_ }{ DC }$ we get two triangles, Δ AOB and Δ DOC as shown in the figure. Find the ㄥA and ㄥB.

13. Observe the figure and find the value of
ㄥA + ㄥN + ㄥG + ㄥL + ㄥE + ㄥS.

14. In a right angled triangle MNO, ㄥN = 900, MO is extended to P. If ㄥNOP = 1280, find the other two angles of ΔMNO.

15. Using the diagram find the value of x.

16. If the given two triangles are congruent, then identify all the corresponding sides and also write the congruent angles.

17. 5 x 3 = 15
18. Can the following angles form a triangle?
(i) 800, 700, 500
(ii) 560, 640, 600

19. If two angles of a triangle having measures 650 and 350, find the measure of the third angle.

20. In ΔPQR, find the exterior angle, ㄥSRQ.

21. In the ΔABC shown in the figure, find the angel z.

22. In the given isoceles triangle IJK (Fig. 4.15), if ㄥIKL = 1280, find the value of x.