Here we are providing **Class 7 Math Important Objective** Chapter – 10 Practical Geometry because its very important for Class 7 students as we all know that every board exam question has MCQs so that students should practice these questions so that students can get good marks in board. Class 7 Math Important Objective Chapter – 10 Practical Geometry is an extremely important and its also a year in which students learn the fundamentals of concepts that help them lay a solid foundation for their higher education. Here we are providing in Class 7 Math Important Objective Chapter – 10 Practical Geometry 40+ questions so that students practice more and more. If you want class wise Notes Then **Click Here**

## Class 7 Math Important Objective Chapter – 10 Practical Geometry

1. In the given figure, find the measure of ∠ROT, if PQ = QR and ∠QPR = 60°.

(a) 60°

(b) 140°

(c) 120°

(d) 100°

**Ans-(c) **

2. How many lines can draw from a given point.

(a) 1

(b) 2

(c) Infinite

(d) None of these

**Ans-(c) **

3. In ΔRST, R = 5 cm, and ∠SRT = 45° and ∠RST = 45°. Which criterion can be used to construct ΔRST?

(a) A.S.A. criterion

(b) S.A.S. criterion

(c) S.S.S. criterion

(d) R.H.S. criterion

**Ans-(a) **

4. How many parallel lines can draw from a outside point of a given line ?

(a) 1

(b) 2

(c) Infinite

(d) None of these

**Ans-(a) **

5. Which of the following is not a criteria for the construction of triangle?

(a) ASA

(b) SAS

(c) SSS

(d) AAA

**Ans-(d) **

6. Identify the criterion of construction of the equilateral triangle LMN given LM = 6 cm.

(a) S.A.S. criterion

(b) R.H.S. criterion

(c) A.S.A. criterion

(d) S.S.S. criterion

**Ans-(d) **

7. Which among the following is used to construct a triangle?

(a) The lengths of the three sides.

(b) The perimeter of the triangle.

(c) The measures of three angles.

(d) The names of three vertices.

**Ans-(a) **

8. Which of the following is a criteria for construction of triangle?

(a) AAA

(b) SAS

(c) SS

(d) all of the above

**Ans-(b) **

9. The idea of equal alternate angles is used to construct which of the following?

(a) A line parallel to a given line

(b) A triangle

(c) A square

(d) Two triangles

**Ans-(a) **

10. To construct a triangle ABC in which AB = 6.5 cm and ∠A = 70° is not possible when sum of BC and AC is equal to …………

(a) 8 cm

(b) 6.2 cm

(c) 7 cm

(d) 6.9 cm

**Ans-(b) **

11. How many parallel lines can be drawn passing through a point, not on the given line?

(a) 2

(b) 1

(c) 3

(d) 0

**Ans-(b) **

12. To construct a triangle only, the length of any side is ……………

(a) equal to the difference of the other two sides.

(b) greater than the difference of the other two sides.

(c) less than the difference of the other two sides.

(d) none of these.

**Ans-(b) **

13. A Given AB = 3 cm, AC = 5 cm,and ∠B = 30°, ΔABC cannot be uniquely constructed, with AC as base, why?

(a) Two sides and included angle are given.

(b) The other two angles are not given.

(c) The vertex B cannot be uniquely located.

(d) The vertex A coincides with the vertex C.

**Ans-(c) **

14. In which of the following cases is the construction of a triangle not possible?

(a) Measures of 3 sides are given.

(b) Measures of 2 sides and an included angle are given.

(c) Measures of 2 angles and a side are given.

(d) Measures of 3 angles are given.

**Ans-(d) **

15. A line panda point X not on it are given. Which of the following is used to draw a line parallel to p through X?

(a) Equal corresponding angles.

(b) Congruent triangles.

(c) Angle sum property of triangles.

(d) Pythagoras’ theorem.

**Ans-(a) **

16. When to construct a right-angled triangle, we must know the ………….

(a) length of any two sides

(b) only hypotenuse

(c) measure of one obtuse angle and one acute angle

(d) measure of two acute angles.

**Ans-(a) **

17. dentify the true statement.

(a) A triangle with 3 equal sides is isosceles.

(b) A triangle with a 110o angle is right angled.

(c) A triangle with 3 acute angles is acute angled.

(d) A triangle with 2 equal sides is equilateral.

**Ans-(c) **

18. Δ PQR is such that ∠P = ∠Q = ∠R = 60° which of the following is true?

(a) Δ PQR is equilateral.

(b) Δ PQR is acute angled.

(c) Both [a] and [b]

(d) Neither [a] nor [b]

**Ans-(c) **

19. If the area of the right angle triangle is given then to construct the triangle, we must know

(a) hypotenuse of triangle.

(b) measure of both acute angles

(c) base of the triangle

(d) None of these.

**Ans-(c) **

20. A Choose the correct option in which a triangle CANNOT be constructed with the given lengths of sides.

(a) 3 cm, 4 cm, 5 cm

(b) 7 cm, 6 cm, 5 cm

(c) 10 cm, 7 cm, 2 cm

(d) 12 cm, 8 cm, 6 cm

**Ans-(c) **

21. ΔPQR is constructed with all its angles measuring 60° each. Which of the following is correct?

(a) ΔPQR is an equilateral triangle.

(b) ΔPQR is isosceles triangle.

(c) ΔPQR is a scalene triangle.

(d) ΔPQR is a right angled triangle.

**Ans-(a) **

22. Which is the longest side in the triangle ABC right angled at B?

(a) BC

(b) AC

(c) AB

(d) None of these

**Ans-(b) **

23. How many perpendicular lines can be drawn to a line from a point not on it?

(a) 1

(b) 2

(c) 0

(d) Infinite

**Ans-(a) **

24. The construction of a triangle ABC in which AB = 7 cm, ∠A = 60° is not possible when sum of BC and AC is equal to

(a) 8.5 cm

(b) 7.6 cm

(c) 6.9 cm

(d) 7.1 cm

**Ans-(c) **

25. ΔPQR is a triangle right-angled at P. If PQ = 3 cm and PR = 4 cm, find QR.

(a) 3 cm

(b) 7 cm

(c) 5 cm

(d) 8 cm

**Ans-(c) **

26. Which of the following is criterion for the construction of a triangle?

(a) SSS

(b) AAA

(c) RRR

(d) SSA

**Ans-(a) **

27. Which is the longest side in the triangle PQR right angled at P?

(a) PR

(b) PQ

(c) QR

(d) None of these

**Ans-(c) **

28. Identify the false statement.

(a) A triangle with three equal sides is called an equilateral triangle.

(b) A triangle with a right angle is called a right angled triangle.

(c) A triangle with two equal sides is called a scalene triangle.

(d) A right angled triangle has two acute angles and a right angle.

**Ans-(c) **

29. The exterior angle of a triangle is ______ in measure to the sum of interior opposite angles.

(a) equal

(b) unequal

(c) different

(d) None of these

**Ans-(a) **

30. Which of the following triangles is possible with RHS construction?

(a) 6 cm, 7 cm, 5 cm

(b) ∠A = 30°, ∠B = 45°, AB = 4.5 cm

(c) ∠P = 90°, QR = 5 cm, PR = 3 cm

(d) ∠P = 90°, PR = 5 cm PQ = 5 cm

**Ans-(c) **

31. The sum of the lengths of any two sides of a triangle is _____________ the third side of the triangle.

(a) less than

(b) doubled

(c) greater than

(d) half

**Ans-(c) **

32. ΔPQR is constructed such that PQ = 5 cm, PR = 5 cm and ∠RPQ = 50° Identify the type of triangle constructed.

(a) An isosceles triangle

(b) An acute angled triangle

(c) An obtuse angled triangle

(d) Both [a] and [b]

**Ans-(d) **

33. We can construct a triangle only when the sum of any two sides is:

(a) less than the third side

(b) greater than the third side

(c) equal to the third side

(d) equal to the perimeter of the triangle

**Ans-(b) **

34. A/an _____________ connect a vertex of a triangle to the mid-point of the opposite side.

(a) altitude

(b) vertex

(c) median

(d) None of these

**Ans-(c) **

35. The sum of the lengths of any two sides of a triangle is _____________ the third side of the triangle.

(a) less than

(b) doubled

(c) greater than

(d) half

**Ans-(c) **

36. Which of the following is NOT constructed using a ruler and a set square?

(a) A perpendicular to a line from a point not on it.

(b) A perpendicular bisector of a line segment.

(c) A perpendicular to a line at a point on the line.

(d) A line parallel to a given line through a given point.

**Ans-(b) **

37. In the Pythagoras property, the triangle must be ___________ .

(a) acute-angled

(b) obtuse-angled

(c) right-angled

(d) None of these

**Ans-(c) **

38. In ΔXYZ, x, y and z denote the three sides. Which of the following is incorrect’?

(a) x – y > z

(b) x + z > y

(c) x – y < z

(d) x + y > z

**Ans-(a) **

39. Which is the longest side of a right triangle?

(a) Hypotenuse

(b) Base

(c) Perpendicular

(d) None of these

**Ans-(a) **

40. In which of the following cases can a triangle be constructed?

(a) Measures of three sides are given.

(b) Measures of two sides and an included angle are given.

(c) Measures of two angles and the side between them are given.

(d) All the above.

**Ans-(d) **

41. How many parallel lines can be drawn passing through a point not on the given line?

(a) 2

(b) 1

(c) 3

(d) 0

**Ans-(b) **

42. A triangle in which all three sides are of equal lengths is called _________.

(a) Equilateral

(b) Scalene

(c) Isosceles

(d) None of these

**Ans-(a) **

43. Based on the sides of a triangle, which of the following is a classification of triangles?

(a) A right angled triangle

(b) An acute angled triangle

(c) An obtuse angled triangle

(d) An isosceles triangle

**Ans-(d) **

44. A triangle can be drawn if the hypotenuse and a _____ in the case of a right-angled triangle.

(a) base

(b) hypotenuse

(c) leg

(d) None of these

**Ans-(c) **

45. Which of the following is used to draw a line parallel to a given line?

(a) A protractor

(b) A set square

(c) A ruler

(d) A ruler and compasses

**Ans-(d) **

46. Sum of the lengths of any two sides of a triangle is greater than the length of the ____.

(a) first side

(b) second side

(c) third side

(d) none of these

**Ans-(c) **

47. A triangle can be drawn if ____ angles and one side given.

(a) 2

(b) 3

(c) 4

(d) None of these

**Ans-(a) **

48. he exterior angle of a triangle is ______ in measure to the sum of interior opposite angles.

(a) equal

(b) unequal

(c) different

(d) None of these

**Ans-(a) **

49. ΔABC is right-angled at C. If AC = 5 cm and BC = 12 cm find the length of AB.

(a) 17 cm

(b) 7 cm

(c) 13 cm

(d) None of these

**Ans-(c) **