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## MCQ Questions for Class 7 Mathematics Chapter wise with Answers

## Q1. Which is the longest side in the triangle PQR right angled at P?

(i) PR

(ii) PQ

(iii) QR

(iv) None of these

(iii) QR

## Q2. Which of the following is a criteria for construction of triangle?

(i) AAA

(ii) SAS

(iii) SS

(iv) all of the above

(ii) SAS

## Q3. How many parallel lines can draw from a outside point of a given line ?

(i) 1

(ii) 2

(iii) Infinite

(iv) None of these

(i) 1

## Q4. Identify the criterion of construction of the equilateral triangle LMN given LM = 6 cm.

(i) S.A.S. criterion

(ii) R.H.S. criterion

(iii) A.S.A. criterion

(iv) S.S.S. criterion

(iv) S.S.S. criterion

## Q5. ΔPQR is a triangle right-angled at P. If PQ = 3 cm and PR = 4 cm, find QR.

(i) 3 cm

(ii) 7 cm

(iii) 5 cm

(iv) 8 cm

(iii) 5 cm

## Q6. Which of the following cannot be the measures of a triangle?

(i) 9 cm, 6 cm, 5 cm

(ii) 7 cm, 7 cm, 5 cm

(iii) 13 cm, 7 cm, 6 cm

(iv) 9.5 cm, 8 cm, 7 cm

(iii) 13 cm, 7 cm, 6 cm

## Q7. How many parallel lines can be drawn passing through a point, not on the given line?

(i) 2

(ii) 1

(iii) 3

(iv) 0

(ii) 1

## Q8. The idea of equal alternate angles is used to construct which of the following?

(i) A line parallel to a given line

(ii) A triangle

(iii) A square

(iv) Two triangles

(i) A line parallel to a given line.

## Q9. Which is the longest side in the triangle ABC right angled at B?

(i) BC

(ii) AC

(iii) AB

(iv) None of these

(ii) AC

## Q10. When to construct a right-angled triangle, we must know the …

(i) length of any two sides

(ii) only hypotenuse

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

(iv) measure of two acute angles.

(i) length of any two sides

## Q11. dentify the true statement.

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

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

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

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

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

### Q12. 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?

(i) Equal corresponding angles.

(ii) Congruent triangles.

(iii) Angle sum property of triangles.

(iv) Pythagoras’ theorem.

(i) Equal corresponding angles.

## Q13. In which of the following cases is the construction of a triangle not possible?

(i) Measures of 3 sides are given.

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

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

(iv) Measures of 3 angles are given.

(iv) Measures of 3 angles are given.

### Q14. 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

(i) 8.5 cm

(ii) 7.6 cm

(iii) 6.9 cm

(iv) 7.1 cm

(iii) 6.9 cm

##### Q15. ΔPQR is a triangle right-angled at P. If PQ = 3 cm and PR = 4 cm, find QR.

(i) 3 cm

(ii) 7 cm

(iii) 5 cm

(iv) 8 cm

(iii) 5 cm

#### Q16. ΔPQR is constructed with all its angles measuring 60° each. Which of the following is correct?

(i) ΔPQR is an equilateral triangle.

(ii) ΔPQR is isosceles triangle.

(iii) ΔPQR is a scalene triangle.

(iv) ΔPQR is a right angled triangle.

(i) ΔPQR is an equilateral triangle.

## Q17. In the Pythagoras property, the triangle must be **_** .

**_**(i) acute-angled

(ii) obtuse-angled

(iii) right-angled

(iv) None of these

(iii) right-angled

## Q18. Which of the following triangles is possible with RHS construction?

(i) 6 cm, 7 cm, 5 cm

(ii) ∠A = 30°, ∠B = 45°, AB = 4.5 cm

(iii) ∠P = 90°, QR = 5 cm, PR = 3 cm

(iv) ∠P = 90°, PR = 5 cm PQ = 5 cm

(iii) ∠P = 90°, QR = 5 cm, PR = 3 cm

## Q19. The sum of the lengths of any two sides of a triangle is *_* the third side of the triangle.

*_*(i) less than

(ii) doubled

(iii) greater than

(iv) half

(iii) greater than

## Q20. Which of the following is NOT constructed using a ruler and a set square?

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

(ii) A perpendicular bisector of a line segment.

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

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

(ii) A perpendicular bisector of a line segment.

## Q21. Which among the following is used to construct a triangle?

(i) The lengths of the three sides.

(ii) The perimeter of the triangle.

(iii) The measures of three angles.

(iv) The names of three vertices.

(i) The lengths of the three sides

## Q22. We can construct a triangle only when the sum of any two sides is:

(i) less than the third side

(ii) greater than the third side

(iii) equal to the third side

(iv) equal to the perimeter of the triangle

(ii) greater than the third side

## Q23. A triangle in which all three sides are of equal lengths is called *_*.

*_*

(i) Equilateral

(ii) Scalene

(iii) Isosceles

(iv) None of these

(i) Equilateral

## Q24. In ΔXYZ, x, y and z denote the three sides. Which of the following is incorrect’?

(i) x – y > z

(ii) x + z > y

(iii) x – y < z (iv) x + y > z

(i) x – y > z

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