Olympiad – Class IX – Mathematics - Introduction to Euclids Geometry

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Question - 1

If C is the midpoint of the segment AB, P and Q are midpoints of the segments AC and BC respectively, find BQ.

  • A \(1\over2\)AB
  • B \(1\over3\)AB
  • C \(1\over4\)AB
  • D \(1\over5\)AB

Question - 2

If l, m and n are three distinct lines such that l II m and I II n, which of the following holds good?

  • A m \(\bot\) n
  • B m ll n
  • C m = n
  • D l\(\bot\) n

Question - 3

If a point C lies in between A and B, what is AC + BCequal to?

  • A AB
  • B \({1\over2}\)AB
  • C 2AB
  • D 4AB

Question - 4

If C is 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

Question - 5

If AC = PQ and CP= BQ, find the midpoint of the line segment AB

  • A P
  • B Q
  • C C
  • D B

Question - 6

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

  • A AD
  • B BD
  • C CD
  • D AC

Question - 7

Which of the following describe a surface?

  • A Length and Breadth
  • B Length only
  • C Breadth only
  • D Length and Height

Question - 8

How many points does a line contain?

  • A Two
  • B Three
  • C Four
  • D Infinitely many

Question - 9

If I II m and l \(\bot\) n, identify the correct option.

  • A I II n
  • B m \(\bot\) n
  • C m ll n
  • D m\(\bot\)l

Question - 10

In the figure given, if A and B are the centres of the two intersecting circles, what type of a triangle is \(\triangle\)ABC?

  • A A scalene triangle
  • B A right triangle
  • C An isosceles triangle
  • D An equilateral triangle
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