CBSE Class 9 Mathematics Introduction to Euclids Geometry Assignment Set 02

Question. If Cis t he midpoint of the segment AB, P and Q are midpoints of the segments AC and BC respectively, find BQ.
(A) 1/2 AB
(B) 1/3 AB
(C) 1/4 AB
(D) 1/5 AB
Answer : C

Question. If Cis the midpoint of the line segment AB, D and E are midpoints of the segments AC and BC respectively, what is the length of AB?
(A) 2 AD
(B) 4 BC
(C) 4 BE
(D) 2 CD
Answer : C

Question. Which of the following describe a surface?
(A) Lengt h and Breadt h
(B) Lengt h only
(C) Breadth only
(D) Length and Height
Answer : A

Question. How many point s does a line cont ain?
(A) Two
(B) Three
(C) Four
(D) Infinitely many
Answer : D

Question. If AC = PQ and CP = BQ, find the midpoint of the line segment AB.
(A) p
(B) Q
(C) C
(D) B
Answer : A

Question. In the figure given, if AC = BD, what is the measure of AB?

(A) AD
(B) BD
(C) CD
(D) AC
Answer : C

Question. If /, m and n are three distinct lines such that l║m and l║n , which of the following holds good?
(A) m ⊥ n
(B) m║n
(C) m = n
(D) l ⊥ n
Answer : B

Question. If a point C lies in between A and B, what is AC + BC equal to?
(A) AB
(B) 1/2 AB
(C) 2 AB
(D) 4 AB
Answer : A

Question. If l║m and l ⊥ n, identify the correct option.
(A) l║n
(B) m ⊥ n
(C) m║n
(D) m ⊥ l
Answer : B

Question. In the figure given, if A and B are the centres of the two intersecting circles, what type of a triangle is Δ ABC ?

(A) A scalene triangle
(B) A right triangle
(C) An isosceles t riangle
(D) An equilat eral triangle
Answer : D

Question. What are the boundaries of surfaces?
(A) Surfaces
(B) Angles
(C) Lines
(D) Points
Answer : C

Question. In ancient India, what are the shapes of alt ars used for house hold rituals?
(A) Squares and circles
(B) Triangles and rect angles
(C) Trapeziums and pyramids
(D) Rectangles and squares
Answer : A

Question. Which of the following is stated in the form 'Lines are parallel if they do not intersect '?
(A) An axiom
(B) A definition
(C) A postulate
(D) A proof
Answer : B

Question. In Indus Valley Civilisation (about300 B.C), what were the dimensions of the bricks used for construction work?
(A) 1 :3:4
(B) 4:2:1
(C) 4:4: 1
(D) 4:3:2
Answer : B

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 B