77 + Interview Questions in Quadrilaterals in Mathematics

51.	A four sided polygon has all sides equal in length, what would be the angle between two adjacent sides?(a) Exactly 90°(b) 90° or any acute angle(c) 90° or any obtuse angle(d) Can be any angleThe question was asked in an interview.My query is from Quadrilaterals topic in chapter Quadrilaterals of Mathematics – Class 8
Answer» The correct choice is (a) EXACTLY 90° Easy explanation: When a four sided POLYGON has its all SIDES EQUAL in LENGTH it is a square. Any square has it’s angles =90°. Hence the answer would be 90°. Here the other options won’t be accurate. For example if a student selects the option 90° or any acute angle it would be partially correct because in a square the angles are always right angles.

Discussion

52.	If the angles of a four sided polygon are in the ratio 7:8:9:12, then the angles would be?(a) 70, 80, 90, 100(b) 70, 70, 80, 80(c) 120, 70, 80, 100(d) 70, 80, 90, 120This question was posed to me in an internship interview.Origin of the question is Quadrilaterals in chapter Quadrilaterals of Mathematics – Class 8
Answer» Right choice is (d) 70, 80, 90, 120 The BEST I can explain: LET us ASSUME x to be the common multiple. Now, the sides of the four sided polygon would be 7x, 8x, 9X and 12x. The sum total of any four sided polygon is 360°. Therefore 7x+8x+9x+12x=360 Therefore 36x=360 Therefore x=10° Therefore the angles are, 7x=70, 8x=80, 9x=90 and 12x=120. One can recheck their answer by, verifying the total as One can recheck their answer by, verifying the total as 360°.

Discussion

53.	What is the sum of all the angles in any triangle?(a) 90°(b) 180°(c) 270°(d) 240°I had been asked this question at a job interview.The origin of the question is Quadrilaterals in division Quadrilaterals of Mathematics – Class 8
Answer» Correct CHOICE is (b) 180° Easy explanation: : As we know that the SUM of all the INTERIOR angles of any triangle is 180°. Sum of interior angles=(n-2)180° Any triangles have THREE SIDES so n=3. ∴ Sum of interior angles=(3-2)180° ∴ Sum of interior angle=180°.

Discussion

54.	What is the general formula to count the sum of all the interior angles of a polygon with ‘n’ number of sides?(a) 180°(b) 360°(c) 90°(d) 720°I got this question during a job interview.My question is based upon Quadrilaterals topic in portion Quadrilaterals of Mathematics – Class 8
Answer» Right CHOICE is (a) 180° For explanation: The general formula for the sum total of all the INTERIOR ANGLES of any POLYGON is (n-2)180°. For example: As we know that the sum of all the interior angles of any triangle is 180°. So, now we can recheck it with the above formula. Sum of interior angles=(n-2)180° Any triangles have three SIDES so n=3. ∴ Sum of interior angles=(3-2)180° ∴ Sum of interior angle=180°.

Discussion

55.	What type of triangle is formed by the two diagonals of any square and any side of that square?(a) Isosceles Triangle(b) Right Angled Triangle(c) Equilateral Triangle(d) Isosceles Right Angles TriangleThe question was posed to me in a national level competition.The above asked question is from Quadrilaterals topic in portion Quadrilaterals of Mathematics – Class 8
Answer» Right OPTION is (d) ISOSCELES Right Angles Triangle The explanation is: The figure shown below is the triangle FORMED by the DIAGONALS and the side of any square. As we know that the diagonals of any square are perpendicular bisectors of each other. Hence the triangle formed would be isosceles right-angled triangle.

Discussion

56.	Raj runs in a park which is in a shape of rectangle, he completes one lap and then he runs across the diagonal of the park. The dimensions of the park are 100 m × 120 m. What is the total distance travelled by him diagonally?(a) 156.2(b) 200(c) 1000(d) 75This question was posed to me during an interview for a job.Origin of the question is Quadrilaterals in section Quadrilaterals of Mathematics – Class 8
Answer» Correct answer is (a) 156.2 For EXPLANATION I WOULD say: We know that all the angles subtended by the sides of a rectangle are 90° in measure. THEREFORE we can USE Pythagoras theorem to FIND the distance travelled by Raj diagonally. (100)^2 + (120)^2 = x^2 X = 156.2 m.

Discussion

57.	The side of a square is 6 cm, what would be the square of it’s diagonal’s length?(a) √72(b) 36(c) √36(d) 72This question was addressed to me in my homework.This intriguing question originated from Quadrilaterals topic in section Quadrilaterals of Mathematics – Class 8
Answer» Right answer is (d) 72 To explain: As the diagonals of a square are perpendicular bisectors of each other, the form a right ANGLES triangle. Here to find the length of the diagonal could be FOUND by using Pythagoras THEOREM. ∴ By Using Pythagoras Theorem we get, ∴ (6)^2 + (6)^2 = x^2 ∴ 36+36=x^2 ∴ 72=x^2

Discussion

58.	Diameters of a circle can be considered as diagonals.(a) True(b) FalseI had been asked this question in an internship interview.My enquiry is from Quadrilaterals in portion Quadrilaterals of Mathematics – Class 8
Answer» The correct OPTION is (b) False Easiest EXPLANATION: Diameters cannot be CONSIDERED as diagonals because CIRCLE does not have any side, hence ACCORDING to the definition the given statement is false.

Discussion

59.	Which of the following is correct?(a) The diagonals of kite bisect each other at 90°(b) The diagonals of kite bisect each other(c) The diagonals of kite make a right angle with each other(d) The diagonals of kite make an angle of 45° with each otherThis question was posed to me at a job interview.My question is based upon Quadrilaterals in chapter Quadrilaterals of Mathematics – Class 8
Answer» The correct option is (c) The diagonals of kite MAKE a RIGHT angle with each other Explanation: A kite is a quadrilateral which has its two ADJACENT SIDES equal and its diagonals are perpendicular to each other (i.e. Angle=90°).

Discussion

60.	How many diagonals does a triangle have?(a) ∞(b) 1(c) 3(d) 0The question was posed to me in homework.My enquiry is from Quadrilaterals topic in chapter Quadrilaterals of Mathematics – Class 8
Answer» Right OPTION is (d) 0 Best EXPLANATION: Triangle has only three SIDES, it cannot FORM any diagonals. As diagonals are formed by figure which have four or more sides. Since it is not possible to draw a diagonal in a triangle ∴ the correct option would be 0.

Discussion

61.	Which of the following quadrilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles?(a) Rhombus(b) Parallelogram(c) Square(d) KiteThe question was asked at a job interview.Asked question is from Quadrilaterals in section Quadrilaterals of Mathematics – Class 8
Answer» The CORRECT option is (d) Kite Explanation: The quadrilateral which has it’s adjacent sides equal, one can think of TWO such polygons, they are square and kite. The second condition given is the diagonals intersect at right angles which is TRUE for both square and kite. Among kite and square, kite has adjacent sides equal WHEREAS square has all 4 sides equal, the correct answer WOULD be kite.

Discussion

62.	How many diagonals can be drawn to a closed curve?(a) ∞(b) 1(c) 2(d) 0I got this question by my school teacher while I was bunking the class.Query is from Quadrilaterals in chapter Quadrilaterals of Mathematics – Class 8
Answer» The correct OPTION is (d) 0 Best explanation: In a CLOSED CURVE there (as shown in the DIAGRAM below), there are no vertex. Since there are no vertex in any closed curves, there won’t be any diagonals. Hence, zero diagonals.

Discussion

63.	A/An __________ is a line segment connecting two non-consecutive vertices of a polygon.(a) diagonal(b) side(c) median(d) altitudeThis question was addressed to me in my homework.My question is taken from Quadrilaterals in section Quadrilaterals of Mathematics – Class 8
Answer» Right choice is (a) diagonal Explanation: When a line segment JOINS two vertices which are not PLACED besides each other, it is known as a diagonal. There should always be a vertex between the two vertices which join the diagonal. For example, in the below figure, the DOTTED line REPRESENTS the diagonal for the SQUARE, whereas the solid lines cannot be considered as the diagonals because there is no vertex between them.

Discussion

64.	If two diagonals of a square intersect, what would be the angle of intersection?(a) 45°(b) 180°(c) 90°(d) 120°This question was addressed to me at a job interview.Asked question is from Quadrilaterals topic in chapter Quadrilaterals of Mathematics – Class 8
Answer» CORRECT answer is (c) 90° The BEST I can explain: The diagonals of any square are perpendicular BISECTORS of each other. So, the angle between the diagonals would be 90°. The DIAGRAM of any square with two diagonals would be LIKE this.

Discussion

65.	What is the general form of naming a polygon?(a) Polygon(b) Hexagon(c) n-gon (where n represents number of sides in a polygon)(d) PentagonI had been asked this question in an internship interview.This is a very interesting question from Classification of Polygons in portion Quadrilaterals of Mathematics – Class 8
Answer» Right answer is (c) n-gon (where n represents number of sides in a POLYGON) To explain: One can find this by a SMALL trick, a STUDENT should learn to break the word. For example Hexagon: Hexa+Gonnow as we know that hexa is six. Similarly, if a polygon has ‘n’ sides then the polygon WOULD be named as n-gon.

Discussion

66.	A parallelogram each of whose angles measures90° is ___________(a) square(b) rectangle(c) parallelogram(d) square as well as RectangleI have been asked this question in an interview for internship.Origin of the question is Classification of Polygons topic in chapter Quadrilaterals of Mathematics – Class 8
Answer» The correct OPTION is (B) rectangle Explanation: If a parallelogram has all it’s ANGLE as 90° then it’s a special CASE of parallelogram and it can be either SQUARE or a rectangle.

Discussion

67.	If in a triangle two of it’s angles are 35° and 45° respectively. What is the measure of it’s third angle?(a) 35°(b) 45°(c) 90°(d) 110°This question was posed to me in examination.This interesting question is from Classification of Polygons in division Quadrilaterals of Mathematics – Class 8
Answer» RIGHT choice is (d) 110° For explanation I WOULD say: In a triangle the sum of all ANGLES is 180°. So, now we can calculate the third angle. Angle 1 + Angle 2 + Angle 3 = 180° ∴ 35° + 45° + Angle 3 = 180° ∴ Angle 3 = 110°.

Discussion

68.	When a square is pushed from one corner keeping the base as it is, which polygon is formed?(a) Square(b) Parallelogram(c) Rhombus(d) RectangleI had been asked this question in a national level competition.Enquiry is from Classification of Polygons topic in division Quadrilaterals of Mathematics – Class 8
Answer» Right option is (c) Rhombus Easy explanation: If we SELECT the upper corner of a square and push it the square will bend in the direction of the force so, the vertical EDGES would TILT in the direction of the force and this would lead to the formation of new POLYGON named as rhombus.

Discussion

69.	A seven sided figure is called _______(a) hexagon(b) seven sided polygon(c) heptagon(d) decagonI had been asked this question in a national level competition.This key question is from Classification of Polygons topic in chapter Quadrilaterals of Mathematics – Class 8
Answer» The correct OPTION is (C) heptagon Easy explanation: One can find this by a small trick, a student should learn to break the word. For example, HEXAGON: Hexa+Gon. As we know that Hexa is six. Similarly, Seven is known as Hepta. ∴Heptagon.

Discussion

70.	A polygon with minimum number of sides is ________(a) triangle(b) line(c) square(d) angleThis question was posed to me at a job interview.Question is taken from Classification of Polygons in division Quadrilaterals of Mathematics – Class 8
Answer» The correct option is (a) TRIANGLE Explanation: A POLYGON with minimum numbers of sides is a triangle. A single LINE does not have one side, an ANGLE has two sides, but it is not closed. A triangle has three sides and its closed. Square has four sides and its closed.So, triangle is the polygon with minimum number of sides.

Discussion

71.	If a polygon has its opposite sides equal and parallel to each other and all angles measuring 90°, identify the polygon.(a) Parallelogram(b) Square(c) Rectangle(d) RhombusThis question was addressed to me in an internship interview.My enquiry is from Classification of Polygons in portion Quadrilaterals of Mathematics – Class 8
Answer» CORRECT choice is (b) Square Easiest explanation: If a rhombus has it’s opposites SIDES equal and parallel then it can be square or a rhombus but the question also states that the ANGLE between the sides is 90°. Square is a SPECIAL type of rhombus which has all the angles as 90°.

Discussion

72.	Which of the following is correct?(a) A polygon is a figure which comprises of straight lines(b) A polygon is a figure which comprises of all types of curves(c) A polygon is a closed figure made up of straight lines(d) A polygon is a figure which comprises of straight lines and curvesThe question was posed to me by my college director while I was bunking the class.Question is from Classification of Polygons in portion Quadrilaterals of Mathematics – Class 8
Answer» The CORRECT option is (c) A polygon is a CLOSED figure made up of straight lines The explanation: The definition of a polygon STATES that ‘A SIMPLE closed curve made up of only line segments is called a polygon’. The other OPTIONS which does not state the a polygon is a closed figure and made of straight lines are wrong.

Discussion

73.	All parallelograms are square.(a) True(b) FalseThis question was posed to me by my college director while I was bunking the class.The query is from Classification of Polygons in portion Quadrilaterals of Mathematics – Class 8
Answer» Correct option is (B) False The best I can explain: All the squares are special cases of parallelogram. This is because parallelogram is a four-sided polygon with opposite sides parallel to each other. MOREOVER, a square is four-sided closed figure with all angles measuring 90° and all sides equal. So, the GIVEN statement is false.

Discussion

74.	A polygon having ten sides is called decagon.(a) True(b) FalseThe question was posed to me in an online quiz.This interesting question is from Polygon in section Quadrilaterals of Mathematics – Class 8
Answer» The correct option is (a) True The BEST I can explain: The word polygon is a LATIN word (where ‘POLY’ means many ‘Gon’ means SIDES). This is derived by the number of sides possessed by the figure. Here we take an example of six sided figure in Latin six is hex therefore the name of the figure is ‘hexagon’. Similarly, ten sided figure is KNOWN as a decagon.

Discussion

75.	Any triangle is a ______ sided polygon.(a) 1(b) 2(c) 3(d) 4This question was posed to me during a job interview.Asked question is from Polygon topic in portion Quadrilaterals of Mathematics – Class 8
Answer» The correct choice is (c) 3 To explain I would say: A TRIANGLE is THREE sided polygon. The triangles are classified into three types (i) Equilateral Triangle (ii) Isosceles Triangle (iii) Scalene Triangle. This classification is done on the basis of length of each side and the angle between these sides. (i) Equilateral Triangle: In this triangle all sides are of equal length and all the ANGLES measure=60° (ii) Isosceles Triangle: In this triangle, TWO sides are of equal length and the base angles are equal. (iii) Scalene Triangle: In this triangle, all the sides are of different and all the angles are different in measure.

Discussion

76.	The maximum number of sides that a polygon can have is ________(a) three(b) four(c) five(d) infiniteThe question was asked in a job interview.This intriguing question originated from Polygon in division Quadrilaterals of Mathematics – Class 8
Answer» CORRECT option is (d) infinite To EXPLAIN: The definition of a POLYGON states that ‘A simple CLOSED curve made up of only line segments is called a polygon.’ Here the basic condition for a polygon is that the figure should be a closed figure and there can be ‘n’ NUMBERS for sides.

Discussion

77.	A simple closed curve made up of only line segments is called a ________(a) polygon(b) square(c) rectangle(d) triangleI had been asked this question in an online interview.This is a very interesting question from Polygon in chapter Quadrilaterals of Mathematics – Class 8
Answer» RIGHT choice is (a) POLYGON Easiest explanation: The options other than polygon are SPECIAL cases of polygons. Polygon can have ‘N’ NUMBER of sides but all the sides should be joined by a straight line.

Discussion

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What is the sum of all the angles in any triangle?(a) 90°(b) 180°(c) 270°(d) 240°I had been asked this question at a job interview.The origin of the question is Quadrilaterals in division Quadrilaterals of Mathematics – Class 8

What is the general formula to count the sum of all the interior angles of a polygon with ‘n’ number of sides?(a) 180°(b) 360°(c) 90°(d) 720°I got this question during a job interview.My question is based upon Quadrilaterals topic in portion Quadrilaterals of Mathematics – Class 8

The side of a square is 6 cm, what would be the square of it’s diagonal’s length?(a) √72(b) 36(c) √36(d) 72This question was addressed to me in my homework.This intriguing question originated from Quadrilaterals topic in section Quadrilaterals of Mathematics – Class 8

Diameters of a circle can be considered as diagonals.(a) True(b) FalseI had been asked this question in an internship interview.My enquiry is from Quadrilaterals in portion Quadrilaterals of Mathematics – Class 8

How many diagonals does a triangle have?(a) ∞(b) 1(c) 3(d) 0The question was posed to me in homework.My enquiry is from Quadrilaterals topic in chapter Quadrilaterals of Mathematics – Class 8

Which of the following quadrilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles?(a) Rhombus(b) Parallelogram(c) Square(d) KiteThe question was asked at a job interview.Asked question is from Quadrilaterals in section Quadrilaterals of Mathematics – Class 8

How many diagonals can be drawn to a closed curve?(a) ∞(b) 1(c) 2(d) 0I got this question by my school teacher while I was bunking the class.Query is from Quadrilaterals in chapter Quadrilaterals of Mathematics – Class 8

A/An __________ is a line segment connecting two non-consecutive vertices of a polygon.(a) diagonal(b) side(c) median(d) altitudeThis question was addressed to me in my homework.My question is taken from Quadrilaterals in section Quadrilaterals of Mathematics – Class 8

If two diagonals of a square intersect, what would be the angle of intersection?(a) 45°(b) 180°(c) 90°(d) 120°This question was addressed to me at a job interview.Asked question is from Quadrilaterals topic in chapter Quadrilaterals of Mathematics – Class 8

A seven sided figure is called _______(a) hexagon(b) seven sided polygon(c) heptagon(d) decagonI had been asked this question in a national level competition.This key question is from Classification of Polygons topic in chapter Quadrilaterals of Mathematics – Class 8

A polygon with minimum number of sides is ________(a) triangle(b) line(c) square(d) angleThis question was posed to me at a job interview.Question is taken from Classification of Polygons in division Quadrilaterals of Mathematics – Class 8

All parallelograms are square.(a) True(b) FalseThis question was posed to me by my college director while I was bunking the class.The query is from Classification of Polygons in portion Quadrilaterals of Mathematics – Class 8

A polygon having ten sides is called decagon.(a) True(b) FalseThe question was posed to me in an online quiz.This interesting question is from Polygon in section Quadrilaterals of Mathematics – Class 8

Any triangle is a ______ sided polygon.(a) 1(b) 2(c) 3(d) 4This question was posed to me during a job interview.Asked question is from Polygon topic in portion Quadrilaterals of Mathematics – Class 8

The maximum number of sides that a polygon can have is ________(a) three(b) four(c) five(d) infiniteThe question was asked in a job interview.This intriguing question originated from Polygon in division Quadrilaterals of Mathematics – Class 8

A simple closed curve made up of only line segments is called a ________(a) polygon(b) square(c) rectangle(d) triangleI had been asked this question in an online interview.This is a very interesting question from Polygon in chapter Quadrilaterals of Mathematics – Class 8