Self Studies

Practical Geome...

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  • Question 1
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    How many lines can pass through two given points?

  • Question 2
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    Which of the following angles are drawn, if an angle of 60º is bisected using a compass and a ruler?

  • Question 3
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    Let O be a point on the circle and A be a point in the exterior of the circle. Also, let the length of line OA be 9 cm and radius of the circle be 5 cm. What will be the length of line BA, if B is the centre?

  • Question 4
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    Directions: Read the information given carefully and answer the question that follows.

    A perpendicular is drawn to a line segment LK at K using a protractor and point O is marked on the perpendicular, then

  • Question 5
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    Andy constructed an angle of 60° and trisected it. Measure of two angles taken together will be

  • Question 6
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    How many angle bisector(s) can an angle have?

  • Question 7
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    If there is an isosceles triangle ABC and AB = AC, then find the number of perpendicular bisector(s) for the unequal line segment.

  • Question 8
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    To draw an angle of 135° using a pair of compass and ruler, bisect the angle between

  • Question 9
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    Directions: Choose the correct codes to fill in the blanks.

    (I) Perpendicular bisector of a line segment divides the line into ____P____ equal parts.
    (II) If OY is the perpendicular bisector of a line segment XZ and it meets XZ at point Y, the XY is equal to ___Q___.
    (III) When we trisect a 120° angle, one part is equal to ____R____.

  • Question 10
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    A line segment AB = 4.6 cm. If it is bisected at P, then find the length of AP.

  • Question 11
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    Which of the following angles is not an angle of set squares?

  • Question 12
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    Which of the following steps is INCORRECT while constructing the angle of 45°?

  • Question 13
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    Directions: Arrange the given steps in the correct order of constructing a 60° angle using a ruler and a compass.

    1. Place the point of the compass at Qand draw an arc that passes through P. Let this arc cut the arc drawn in previous step at R.
    2. Join P to R. The angle RPQ is 60°.
    3. Place the point of the compass at Pand draw an arc that passes through line PQ.
    4.Draw the arm PQ.

  • Question 14
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    Directions: Read the given statements carefully and choose the correct option.

    (Note: T = True and F = False)

    (i) Two different points on the boundary of a circle will have different distances from the center of that circle.
    (ii) If we bisect the angle of a rectangle, then we get two angles of 45°.
    (iii) A line has infinite length.

  • Question 15
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    Directions: Read the statements carefully and choose the correct option.

    Statement 1: Through a line in a plane, number of lines that can be drawn is 2.
    Statement 2: The angle bisector of 180° will bisect it into two angles of 100° and 80°.

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