NCERT MCQ Questions for Class 7 Maths **Practical Geometry** with Answers PDF Free Download based on the major ideas and themes presented in the textbook as per the CBSE new test pattern are available here. This will help you learn and test your understanding of the chapters. Students can also take a free test of Class 7 Maths Multiple Choice Questions. Each question has four possibilities, each of which is followed by the correct response. These MCQ Questions were chosen in accordance with the most recent CBSE exam format.

## Q1.In ΔRST, R = 5 cm, and ∠SRT = 45° and ∠RST = 45°. Which criterion can be used to construct ΔRST?

(1)(a) A.S.A. criterion

(2)(b) S.A.S. criterion

(3)(c) S.S.S. criterion

(4)(d) R.H.S. criterion

## Answer

Answer: (a) A.S.A. criterion

## Q2.Identify the criterion of construction of the equilateral triangle LMN given LM = 6 cm.

(1)(a) S.A.S. criterion

(2)(b) R.H.S. criterion

(3)(c) A.S.A. criterion

(4)(d) S.S.S. criterion

## Answer

Answer: (d) S.S.S. criterion

## Q3.The idea of equal alternate angles is used to construct which of the following?

(1)(a) A line parallel to a given line

(2)(b) A triangle

(3)(c) A square

(4)(d) Two triangles

## Answer

Answer: (a) A line parallel to a given line.

## Q4.A Given AB = 3 cm, AC = 5 cm,and ∠B = 30°, ΔABC cannot be uniquely constructed, with AC as base, why?

(1)(a) Two sides and included angle are given.

(2)(b) The other two angles are not given.

(3)(c) The vertex B cannot be uniquely located.

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

## Answer

Answer: (c) The vertex B cannot be uniquely located.

## Q5.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?

(1)(a) Equal corresponding angles.

(2)(b) Congruent triangles.

(3)(c) Angle sum property of triangles.

(4)(d) Pythagoras’ theorem.

## Answer

Answer: (a) Equal corresponding angles.

## Q6.Δ PQR is such that ∠P = ∠Q = ∠R = 60° which of the following is true?

(1)(a) Δ PQR is equilateral.

(2)(b) Δ PQR is acute angled.

(3)(c) Both [a] and [b]

(4)(d) Neither [a] nor [b]

## Answer

Answer: (c) Both [a] and [b]

## Q7.Which vertex of ΔABC is right angled if AB¯¯¯¯¯¯¯¯ = 8 cm, AC¯¯¯¯¯¯¯¯ = 6 cm,and BC¯¯¯¯¯¯¯¯ = 10 cm,?

(1)(a) ∠C

(2)(b) ∠A

(3)(c) ∠B

(4)(d) A or C

## Answer

Answer: (b) ∠A

## Q8.ΔPQR is constructed with all its angles measuring 60° each. Which of the following is correct?

(1)(a) ΔPQR is an equilateral triangle.

(2)(b) ΔPQR is isosceles triangle.

(3)(c) ΔPQR is a scalene triangle.

(4)(d) ΔPQR is a right angled triangle.

## Answer

Answer: (a) ΔPQR is an equilateral triangle.

## Q9.How many perpendicular lines can be drawn to a line from a point not on it?

(1)(a) 1

(2)(b) 2

(3)(c) 0

(4)(d) Infinite

## Answer

Answer: (a) 1

## Q10.Identify the false statement.

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

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

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

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

## Answer

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

## Q11.ΔPQR is constructed such that PQ = 5 cm, PR = 5 cm and ∠RPQ = 50° Identify the type of triangle constructed.

(1)(a) An isosceles triangle

(2)(b) An acute angled triangle

(3)(c) An obtuse angled triangle

(4)(d) Both [a] and [b]

## Answer

Answer: (d) Both [a] and [b]

## Q12.Which of the following is NOT constructed using a ruler and a set square?

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

(2)(b) A perpendicular bisector of a line segment.

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

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

## Answer

Answer: (b) A perpendicular bisector of a line segment.

## Q13.In ΔXYZ, x, y and z denote the three sides. Which of the following is incorrect’?

(1)(a) x – y > z

(2)(b) x + z > y

(3)(c) x – y < z

(4)(d) x + y > z

## Answer

Answer: (a) x – y > z

## Q14.In which of the following cases can a triangle be constructed?

(1)(a) Measures of three sides are given.

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

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

(4)(d) All the above.

## Answer

Answer: (d) All the above.

## Q15.Based on the sides of a triangle, which of the following is a classification of triangles?

(1)(a) A right angled triangle

(2)(b) An acute angled triangle

(3)(c) An obtuse angled triangle

(4)(d) An isosceles triangle

## Answer

Answer: (d) An isosceles triangle

## Q16.Which of the following is used to draw a line parallel to a given line?

(1)(a) A protractor

(2)(b) A set square

(3)(c) A ruler

(4)(d) A ruler and compasses

## Answer

Answer: (d) A ruler and compasses

## Q17.A Choose the correct option in which a triangle CANNOT be constructed with the given lengths of sides.

(1)(a) 3 cm, 4 cm, 5 cm

(2)(b) 7 cm, 6 cm, 5 cm

(3)(c) 10 cm, 7 cm, 2 cm

(4)(d) 12 cm, 8 cm, 6 cm

## Answer

Answer: (c) 10 cm, 7 cm, 2 cm

## Q18.Identify the true statement.

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

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

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

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

## Answer

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

## Q19.Which of the following statements is incorrect?

(1)(a) The sum of angles in a triangle is 2 right angles.

(2)(b) The exterior angle of a triangle is equal to the interior angle of the triangle.

(3)(c) The hypotenuse is the longest side of a right angled triangle.

(4)(d) All the above.

## Answer

Answer: (b) The exterior angle of a triangle is equal to the interior angle of the triangle.

## Q20.A triangular sign board is isosceles. If the unequal side is 7 cm and one of the equal sides is 6 cm, what is the measure of the third side?

(1)(a) 5 cm

(2)(b) 6 cm

(3)(c) 7 cm

(4)(d) Either [a] or [c]

## Answer

Answer: (b) 6 cm

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

(1)(a) The lengths of the three sides.

(2)(b) The perimeter of the triangle.

(3)(c) The measures of three angles.

(4)(d) The names of three vertices.

## Answer

Answer: (a) The lengths of the three sides.

## Q22.Which of the following is not a criteria for the construction of triangle?

(1)(a) ASA

(2)(b) SAS

(3)(c) SSS

(4)(d) AAA

## Answer

Answer: (d) AAA

## Q23.Which of the following is a criteria for construction of triangle?

(1)(a) AAA

(2)(b) SAS

(3)(c) SS

(4)(d) all of the above

## Answer

Answer: (b) SAS

## Q24.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 …………

(1)(a) 8 cm

(2)(b) 6.2 cm

(3)(c) 7 cm

(4)(d) 6.9 cm

## Answer

Answer: (b) 6.2 cm

## Q25.Which of the following cannot be the measures of a triangle?

(1)(a) 9 cm, 6 cm, 5 cm

(2)(b) 7 cm, 7 cm, 5 cm

(3)(c) 13 cm, 7 cm, 6 cm

(4)(d) 9.5 cm, 8 cm, 7 cm

## Answer

Answer: (c) 13 cm, 7 cm, 6 cm

## Q26.To construct a triangle only, the length of any side is ……………

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

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

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

(4)(d) none of these.

## Answer

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

## Q27.When to construct a right-angled triangle, we must know the ………….

(1)(a) length of any two sides

(2)(b) only hypotenuse

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

(4)(d) measure of two acute angles.

## Answer

Answer: (a) length of any two sides

## Q28.If the area of the right angle triangle is given then to construct the triangle, we must know

(1)(a) hypotenuse of triangle.

(2)(b) measure of both acute angles

(3)(c) base of the triangle

(4)(d) None of these.

## Answer

Answer: (c) base of the triangle

## Q29.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

(1)(a) 8.5 cm

(2)(b) 7.6 cm

(3)(c) 6.9 cm

(4)(d) 7.1 cm

## Answer

Answer: (c) 6.9 cm

## Q30.Which of the following is criterion for the construction of a triangle?

(1)(a) SSS

(2)(b) AAA

(3)(c) RRR

(4)(d) SSA

## Answer

Answer: (a) SSS

## Q31.Which of the following triangles is possible with RHS construction?

(1)(a) 6 cm, 7 cm, 5 cm

(2)(b) ∠A = 30°, ∠B = 45°, AB = 4.5 cm

(3)(c) ∠P = 90°, QR = 5 cm, PR = 3 cm

(4)(d) ∠P = 90°, PR = 5 cm PQ = 5 cm

## Answer

Answer: (c) ∠P = 90°, QR = 5 cm, PR = 3 cm

## Q32.To construct an equilateral triangle with a given side, which of the following is used!

(1)(a) Each angle of an equilateral triangle is 90°.

(2)(b) The sum of three angles of a triangle is less than 180°.

(3)(c) The sum of any two sides is equal to the third side.

(4)(d) Each angle of an equilateral triangle is 60°.

## Answer

Answer: (d) Each angle of an equilateral triangle is 60°.

## Q33.We can construct a triangle only when the sum of any two sides is:

(1)(a) less than the third side

(2)(b) greater than the third side

(3)(c) equal to the third side

(4)(d) equal to the perimeter of the triangle

## Answer

Answer: (b) greater than the third side

## Q34.Which is the longest side in the triangle PQR right angled at P?

(1)(a) PR

(2)(b) PQ

(3)(c) QR

(4)(d) None of these

## Answer

Answer: (c) QR

## Q35.The sum of the lengths of any two sides of a triangle is ___________ the third side of the triangle.

(1)(a) less than

(2)(b) doubled

(3)(c) greater than

(4)(d) half

## Answer

Answer: (c) greater than

## Q36.A/an ___________connect a vertex of a triangle to the mid-point of the opposite side.

(1)(a) altitude

(2)(b) vertex

(3)(c) median

(4)(d) None of these

## Answer

Answer: (c) median

## Q37.In the Pythagoras property, the triangle must be __________.

(1)(a) acute-angled

(2)(b) obtuse-angled

(3)(c) right-angled

(4)(d) None of these

## Answer

Answer: (c) right-angled

## Q38.Which is the longest side of a right triangle?

(1)(a) Hypotenuse

(2)(b) Base

(3)(c) Perpendicular

(4)(d) None of these

## Answer

Answer: (a) Hypotenuse

## Q39.A triangle in which all three sides are of equal lengths is called __________.

(1)(a) Equilateral

(2)(b) Scalene

(3)(c) Isosceles

(4)(d) None of these

## Answer

Answer: (a) Equilateral

## Q40.A triangle can be drawn if the hypotenuse and a _________in the case of a right-angled triangle.

(1)(a) base

(2)(b) hypotenuse

(3)(c) leg

(4)(d) None of these

## Answer

Answer: (c) leg

## Q41.Sum of the lengths of any two sides of a triangle is greater than the length of the _________.

(1)(a) first side

(2)(b) second side

(3)(c) third side

(4)(d) none of these

## Answer

Answer: (c) third side

## Q42.A triangle can be drawn if __________ angles and one side given.

(1)(a) 2

(2)(b) 3

(3)(c) 4

(4)(d) None of these

## Answer

Answer: (a) 2

## Q43.The exterior angle of a triangle is ___________in measure to the sum of interior opposite angles.

(1)(a) equal

(2)(b) unequal

(3)(c) different

(4)(d) None of these

## Answer

Answer: (a) equal

## Q44.ΔABC is right-angled at C. If AC = 5 cm and BC = 12 cm find the length of AB.

(1)(a) 17 cm

(2)(b) 7 cm

(3)(c) 13 cm

(4)(d) None of these

## Answer

Answer: (c) 13 cm