Class 7 Mathematics MCQ The Triangles and Its Properties

Question 56: Find the value of x and y in the following diagram :

(A) (60,90)
(B) (90,60)
(C) (60,60)
(D) none of these

Question 57: Find the angle x in given diagram :

(A) 30°
(B) 60°
(C) 40°
(D) none of these

Question 58: Find the angle x in the given diagram

(A) 40°
(B) 50°
(C) 80°
(D) none of these

Question 59: If two sides of a triangle are added then the result is :

(A) greater than third
(B) less than third
(C) equal to third
(D) none of these

Question 60: In a ΔABC, if AB+BC = 10 cm, BC+CA = 12 cm, CA+AB = 16 cm, then the perimeter of the triangle is ____.

(A) 19cm
(B) 17cm
(C) 28cm
(D) 22cm

Question 61: In the Pythagoras property, the triangle must be ___________ .

(A) obtuse-angled
(B) acute-angled
(C) right-angled
(D) none of these

Question 62: Which is the longest side in the triangle PQR right angled at P?

(A) PQ
(B) QR
(C) PR
(D) None of these

Question 63: The triangle whose lengths of sides are 3 cm, 4 cm, 5 cm is a

(A) obtuse-angled triangle
(B) right-angled triangle
(C) acute-angled triangle
(D) None of these

Question 64: A triangle in which two sides are of equal lengths is called _______________.

(A) scalene
(B) acute-angled
(C) equilateral
(D) isosceles

Question 65: Aryan wants to plant a flower on the ground in the form of a rhombus. The diagonals of the rhombus measures 42 cm and 56 cm. Find the perimeter of the field.

(A) 150 cm
(B) 140 cm
(C) 130cm
(D) 120cm

Question 66: ΔPQR is a triangle right-angled at P. If PQ = 3 cm and PR = 4 cm, find QR.

(A) 8 cm
(B) 5 cm
(C) 7 cm
(D) 3 cm

Question 67: In a ΔABC, which of the given condition holds?

(A) AB − BC > CA
(B) AB + BC < CA
(C) AB − BC < CA
(D) AB + CA < BC

Question 68: One of the angles of a triangle is 110° and the other two angles are equal what is the measure of each of these equal angle

(A) 35°,35°
(B) 40°, 40°
(C) 11°, 11°
(D) 80° , 80°

Question 69: Which is the longest side in the triangle ABC right angled at B?

(A) AB
(B) AC
(C) BC
(D) None of these

Question 70: Which is the longest side of a right triangle?

(A) Base
(B) Perpendicular
(C) Hypotenuse
(D) None of these

Question 71: A/an _____________ connect a vertex of a triangle to the mid-point of the opposite side.

(A) altitude
(B) median
(C) vertex
(D) none of these

Question 72: ΔABC is right-angled at C. If AC = 5 cm and BC = 12 cm find the length of AB.

(A) 13 cm
(B) 11 cm
(C) 20 cm
(D) None of these

Question 73: ABC is an isosceles triangle with AB = AC and AD is altitude, then ____.

(A) ∠B>∠C
(B) ∠B<∠C
(C) ∠B=∠C
(D) None of these

Question 74: How many vertices does a triangle have?

(A) 1
(B) 2
(C) 3
(D) 4

Question 75: How many sides are there in a triangle?

(A) 1
(B) 2
(C) 3
(D) 4

Question 76: 2 cm, 3 cm, 5 cm

Question 77: If the angles of a triangle are in the ratio 4:5:9. Find all the angles of a the triangle

(A) 40°, 50°, 90°
(B) 90°, 72°, 18°
(C) 9°, 90°, 55°
(D) 45°, 60°, 18°

Question 78: How many altitudes can a triangle have?

(A) 1
(B) 2
(C) 3
(D) None of these

Question 79: How many medians a triangle can have?

(A) 1
(B) 2
(C) 3
(D) none of these

Question 80: The sum of the lengths of any two sides of a triangle is _____________ the third side of the triangle.

(A) greater than
(B) half
(C) less than
(D) double

Question 83: How many elements are there in a triangle?

(A) 3
(B) 6
(C) 4
(D) None of these.

Question 84: How many angles are there in a triangle?

(A) 1
(B) 2
(C) 3
(D) 4

Question 85: If two sides of a triangle are not equal, the triangle is called

(A) scalene
(B) isosceles
(C) equilateral
(D) right-angled

Question 86: If two sides of a triangle are equal, the triangle is called

(A) isosceles
(B) equilateral
(C) scalene
(D) right-angled

Question 87: If all the three sides of a triangle are equal, the triangle is called

(A) equilateral
(B) right-angled
(C) isosceles
(D) scalene

Question 88: If all the angles of a triangle are acute, the triangle is called

(A) obtuse-angled
(B) acute-angled
(C) right-angled
(D) none of these

Question 89: If one angle of a triangle measures 90°, the triangle is called

(A) acute-angled
(B) obtuse-angled
(C) right-angled
(D) none of these

Question 90: The total measure of the three angles of a triangle is

(A) 360°
(B) 90°
(C) 180°
(D) none of these

Question 91: The measure of each angle of an equilateral triangle is

(A) 30°
(B) 45°
(C) 90°
(D) 60°

Question 92: Which of the following statements is true?

(A) A triangle can have two right angles
(B) A triangle can have two obtuse angles
(C) A triangle can have two acute angles
(D) A triangle can have all the three angles less than 60°

Question 93: Which of the following statements is true?

(A) A triangle can have all the three angles equal to 60°.
(B) A triangle can have all the three angles greater than 60°.
(C) The sum of any two angles of a triangle is always greater than the third angle.
(D) The difference between the lengths of any two sides of a triangle is greater than the length of the third side

Question 94: Which of the following statement is false?

(A) The sum of the lengths of any two sides of a triangle is less than the third side.
(B) In a right-angled triangle, the square on the hypotenuse = sum of the squares on the legs.
(C) If the Pythagorean property holds, the triangle must be right-angled.
(D) The diagonal of a rectangle produce ‘by itself the same area as produced by its length and breadth

Question 95: Two angles of a triangle measure 90° and 30°. The measure of the third angle is

(A) 90°
(B) 30°
(C) 60°
(D) 120°

Question 96: The ratio of the measures of the three angles of a triangle is 2 : 3 : 4. The measure of the largest angle is

(A) 80°
(B) 60°
(C) 40°
(D) 180°

Question 97: In the following figure, the side BC of ∆ ABC is extended up to the point D. If ∠ A = 55° and ∠ B = 60°, then the measure of ∠ACD is

(A) 120°
(B) 110°
(C) 115°
(D) 125°

Question 98: In the following figure, the measure of ∠A is

(A) 30°
(B) 45°
(C) 90°
(D) 30°

Question 99: In the following figure, the measure of ∠A is

(A) 70°
(B) 90°
(C) 80°
(D) 100°

Question 100: In the following figure, m || QR. Then, the measure of ∠QPR is

(A) 80°
(B) 85°
(C) 75°
(D) 70°

Question 101: In the following figure, find ∠ x and ∠ y, if ∠x – ∠y – 10°

(A) 65°, 55°
(B) 55°, 45°
(C) 45°, 35°
(D) 60°, 60°

Question 102: In the following figure, find ∠ B.

(A) 30°
(B) 45°
(C) 40°
(D) 60°

Question 103: In the following figure, ∆ ABC is an equilateral triangle. Find ∠x.

(A) 30°
(B) 45°
(C) 60°
(D) 90°

Question 104: In the following figure, one angle of triangle ABC is 40°. If the difference of the other two angles is 30°, find the larger of the other two angles.

(A) 85°
(B) 80°
(C) 75°
(D) 70°

Question 105: In the following figure, find

(A) 60°
(B) 70°
(C) 80°
(D) 75°

Question 106: In the following figure, find x if BA || CE.

(A) 60°
(B) 40°
(C) 45°
(D) 65°

Question 107: Find the value of the unknown interior angle x in the following figure:

(A) 30°
(B) 35°
(C) 40°
(D) 45°

Question 108: Find the value of unknown x in the following figure:

(A) 40°
(B) 50°
(C) 45°
(D) 55°

Question 109: Find the value of unknown x in the following figure:

(A) 10°
(B) 15°
(C) 20°
(D) 25°

Question 110: Find angle x in the following figure:

(A) 90°
(B) 80°
(C) 95°
(D) 100°

Question 111: Find angle x in the following figure:

(A) 40°
(B) 50°
(C) 45°
(D) 60°

Question 112: Find angle x in the following figure:

(A) 40°
(B) 30°
(C) 25°
(D) 35°

Question 113: Find angle x in the following figure:

(A) 40°
(B) 45°
(C) 35°
(D) 50°

Question 114: Find angle x in the following figure:

(A) 58°
(B) 59°
(C) 57°
(D) 56°

Question 115: Find angle x in the following figure:

(A) 45°
(B) 40°
(C) 35°
(D) 50°

Question 116: In which case of the following lengths of sides of a triangle, is it possible to draw a triangle?

(A) 3 cm, 4 cm, 7 cm
(B) 2 cm, 3 cm, 7 cm
(C) 3 cm, 4 cm, 5 cm
(D) 3 cm, 3 cm, 7 cm

Question 117: Which of the following cannot be the sides of a right triangle?

(A) 2 cm, 2 cm, 4 cm
(B) 5 cm, 12 cm, 13 cm
(C) 6 cm, 8 cm, 10 cm
(D) 3 cm, 4 cm, 5 cm

Question 1: Sum of …………….. angles of the triangle is 180°.

Question 2: An obtuse triangle is if one of its angle is greater than …………..

Question 3: A …………… is if one of its angle is equal to 90°.

Question 4: All the angles of a scalene triangle are ……………

Question 5: The sum of any two sides of a triangle is ………….. than the third side

Question 6: In a right angled triangle, the side opposite to the right angle is called the
the other two sides are called ……………. and ………………..

Question 7: The line segment that joins a vertex of a triangle to the mid-point of opposite side is called a ……………. of a triangle.

Question 8: Perpendicular line segment from a vertex of a triangle to its opposite side is called an ………….. of the triangle.

Question 9: A triangle is said to be ………….. if all its sides are of different lengths

Question 10: In a right angled triangle, the square of the hypotenuse equals the sum of the …………… of its sides.

Question 11: There are ……………….. elements of a triangle.

Question 12: A triangle has ……………. medians and ……………… altitudes.

Question 13: A ……………. is a simple closed figure made of three line segments.

Question 14: A triangle is said to be ………….. if any two of its sides are equal.

Question 15: A triangle is said to be ………………… if all of its sides are equal.

Question 16: An accute triangle is if each of its angle is …………… 90°.

Question 17: All the angles of an equilateral triangle are …………….