#### Geometry Model Question Paper

7th Standard

Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 40
4 x 1 = 4
1. Vertically opposite angles are

(a)

not equal in measure

(b)

complementary

(c)

supplementary

(d)

equal in measure

2. The sum of all angles at a point is

(a)

360°

(b)

180°

(c)

90°

(d)

3. A line which intersects two or more lines in different points is known as

(a)

parallel lines

(b)

transversal

(c)

non-parallel lines

(d)

intersecting line

4. Which of the following statements is ALWAYS TRUE when parallel lines are cut by a transversal

(a)

corresponding angles supplementary.

(b)

alternate interior angles supplementary.

(c)

alternate exterior angles supplementary.

(d)

interior angles on the same side of the transversal are supplementary.

5. 7 x 2 = 14
6. Find the angle $\angle$JIL from the given figure.

7. If the three angles at a point are in the ratio 1 : 4 : 7, find the value of each angle?

8. In the given figure, identify
(i) any two pairs of adjacent angles.
(ii) two pairs of vertically opposite angles.

9. From the given figure, find the missing angle

10. Using the figure, answer the following questions.
(i) What is the measure of angle x°?
(ii) What is the measure of angle y°?

11. Mention two real-life situations where we use parallel lines.

12. Draw a line segment of given length and construct a perpendicular bisector to each line segment using scale and compass.
(a) 8 cm
(b) 7cm
(c) 5.6 cm
(d) 10.4 cm
(e) 58 mm

13. 4 x 3 = 12
14. If $\angle$POQ = 23° and $\angle$POR = 62° then find $\angle$QOR

15. Find the missing angle.

16. Construct a perpendicular bisector of the line segment AB = 6 cm.

17. In the given figure, the arms of two angles are parallel. If ∠ABC = 70°, then find
(i) ∠DGC
(ii) ∠DEF

18. 2 x 5 = 10
19. (i) Name the angle that corresponds to $\angle$1.
(ii) Name the angle that is alternate interior to $\angle$3.
(iii) Name the angle that is alternate exterior to $\angle$8.
(iv) Name the angle that corresponds to $\angle$8.
(v) Name the angle that is alternate exterior to $\angle$7.
(vi) Name the angle that is alternate interior to $\angle$6.

20. Construct bisector of the ∠ABC with the measure 80°.