CBSE Class 9 Mathematics Introduction to Euclids Geometry Assignment Set A

Question. How many interwoven isosceles triangles are there in Sriyantra (in the Atharvaveda)?
(A) Seven
(B) Eight
(C) Nine
(D) Eleven
Answer : C

Question. How many lines can pass through a given point?
(A) Two
(B) None
(C) Only one
(D) Infinitely many
Answer : D

Question. What is the shape of the side faces of a pyramid?
(A) Triangles
(B) Squares
(C) Polygons
(D) Trapeziums
Answer : A

Question. To which of the following countries did Euclid belong?
(A) Babyl onia
(B) Egypt
(C) Greece
(D) India
Answer : C

Question. In which of the following forms did Euclid state that all right angles are equal to each other?
(A) An ax iom
(B) A defination
(C) A postulate
(D) A proof
Answer : C

Question. In which of the following forms did Euclid state that if equals are subtracted from equals, the remainders are equals?
(A) An axiom
(B) A postulate
(C) A definition
(D) A proof
Answer : D

Question. Euclid divided his famous treatise "The Elements" into how many chapters?
(A) 13 chapters
(B) 12 ch apters
(C) 11 chapters
(D) 9 chapters
Answer : A

Question. What is the number of line segments determined by three given non-collinear points?
(A) Two
(B) Three
(C) Infinitely many
(D) Four
Answer : B

Question. Given four points such that no three of them are collinear, what is the number of lines that can be drawn through them?
(A) 2 lines
(B) 4 lines
(C) 6 lines
(D) 8 lines
Answer : C

Question. What is the number of line segments determined by three collinear points?
(A) Two
(B) Three
(C) Only one
(D) Four
Answer : C

Question. Identify the incorrect statement.
(A) Only one line can pass through a single point.
(B) Only one line can pass through two distinct points.
(C) A terminated line can be produced indfinitely on both the sides.
(D) If two circles are equa l, their radii are equal.
Answer : A

Question. How many dimensions does a solid has?
(A) 1
(B) 2
(C) 3
(D) 0
Answer : C

Question. If the point Flies in between M and N and C is the midpoint of MF which of the following is true?
(A) MC + FN = MN
(B) MF + CF = MN
(C) MC + FN = MN
(D) CF + CN = MN
Answer : D

Question. How many common points do two distinct lines in a plane have?
(A) Two points
(B) Three points
(C) One point
(D) Four points
Answer : C

Question. Two dist inct parallel lines have how many common points?
(A) No
(B) One
(C) Two
(D) Three
Answer : A

Question. It is known that if x + y = 10, x + y + z = 10 + z. Which Euclid's axiom illustrates this statement?
(A) First Axiom
(B) Second Axiom
(C) Third Axiom
(D) Fourth Axiom
Answer : B

Question. What is the total number of propositions in the elements?
(A) 465
(B) 460
(C) 13
(D) 55
Answer : A

Question. If a point Plies in between A and B, which of the following is true?
(A) AP = 2/2 AB
(B) BP = 1/2 AB
(C) AP + PB = AB
(D) AP = BP
Answer : C

Question. Identify the incorrect stat ement.
(A) If a point P lies in between A and B, then AP < AB and BP < AB.
(B) A line segment has fixed length.
(C) One point always determines a unique line.
(D) A line segment can be produced indefinitely on either side.
Answer : D

Question. Which of the following is the shape of the base of a solid pyramid?
(A) A triangle
(B) A square
(C) A rectangle
(D) Any polygon
Answer : D

Question. What is formed when two planes intersect each other?
(A) Plane
(B) Point
(C) Straight line
(D) Angle
Answer : C

Question. Which of the following are the three steps from solids to points?
(A) Solids - Surfaces - Lines - Points
(B) Solids - Lines - Surfaces - Points
(C) Lines - Points - Surfaces - Solids
(D) Lines- Surfaces - Points - Solids 
Answer : A

Question. Which of the following needs a proof?
(A) Axiom
(B) Theorem
(C) Postulate
(D) Definition
Answer : B

Question. If X, Y, Z are the three points on a line and Y lies bet ween X and Z, which of the following is true?
(A) XY + YZ = XZ.
(B) XY + XZ = YZ
(C) XZ + YZ = XY
(D) 1/2(XY+YZ) = XZ
Answer : A

Question. ABCD are the four points on a line.

If AD = BC, which of the following has its length the same as BD?
(A) AD
(B) BC
(C) AC
(D) CD
Answer : C

Question. Things which are of the same things are equal to one another.
(A) Parallel
(B) Not equal
(C) Halves
(D) Triple
Answer : C

Introduction to Euclids Geometry

Q 1 Write Ecluid's definition of straight line.

Q 2 State true of false : Two distinct lines intersect at more than one point.

Q 3 Fill in the blank :

A_____ is that which has no part.

Q 4 How many points a line segment can have?

Q 5 State true or false: Given two distinct points, there are two lines which passes through them.

Q 6 Fill in the blank :]

Three or more lines are said to be _____if their common point lies on them.

Q 7 According to Euclid, Name of geometrical figure which has only length and breadth.

Q 8 State two equivalent versions of Ecluid's fifth postulate.

Q 9 If A, B and C are three points on a line, and B lies between A and C then prove that AB + BC = AC.

Q 10 If a point C lies between two points A and B such that AC = BC, then prove that AC = (1/2)AB.

Q 11 Which axiom is related to comparison of things According to Euclid‟s axiom?

Q 12 If a point C lies between two points A and B such that AC = BC, then find the relation between BC and AB.

Q 13 As per Euclid‟s axiom, „If equals are added to equals, explain with examples.

Click on link below to download CBSE Class 9 Mathematics Introduction to Euclids Geometry Assignment Set A