Olympiad – Class VI – Mathematics - Practical Geometry

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Question - 1

Into what type of parts is a figure divided by bisecting it?

  • A Unequal
  • B Equal
  • C Triangular
  • D Perpendicular

Question - 2

Identify the instruments used to bisect a given line segment.

  • A A scale and a protractor
  • B Scale and compasses
  • C Scale and setsquares
  • D A scale

Question - 3

What do you call two lines intersecting at a point?

  • A Perpendicular lines
  • B Parallel lines
  • C Bisectors lines
  • D Intersecting lines

Question - 4

An angle of 15° is drawn using a pair of compasses and a ruler. How is it done?

  • A Bisecting 60° angle
  • B Bisecting 60° and 120° angles.
  • C Bisecting 60° and then bisecting it again
  • D Bisecting a 60° and 180° angles

Question - 5

Which of the following is an angle that can be constructed using compasses and a ruler?

  • A 20°
  • B 80°
  • C 60°
  • D 110°

Question - 6

How do you draw a 90° angle?

  • A By drawing a perpendicular to a line from a point lying on it.
  • B By bisecting a 120° angle.
  • C By bisecting a 60° angle.
  • D By drawing multiples of 45° angle.

Question - 7

An angle ㄥXYZ = 75° is bisected by an angular bisector \(\vec { YU } \) . Then what is the measure of ㄥUYZ ?

  • A 37°
  • B 37.5°
  • C 47.5°
  • D 47°

Question - 8

A line segment \(\bar { IP } \)  is bisected at T.Which of the following equals \(\bar { IT } \)?

  • A \(\bar { IP } \)
  • B \(\bar { TP } \)
  • C \(\bar { TC } \)
  • D \(\bar { IQ} \)

Question - 9

Which of the following is done to draw an angle of 150° using compasses and a ruler?

  • A Bisecting 120° and 180° angles
  • B Bisecting 60° and 120° angles.
  • C Bisecting 0° and 60° angles.
  • D Bisecting a 3600 angle

Question - 10

Two lines are said to be perpendicular to each other when they meet at _____ angle.

  • A 180°
  • B 90°
  • C 60°
  • D 360°