9th Standard English Medium Maths Subject Geometry Book Back 2 Mark Questions with Solution Part - II

9th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 20

    2 Marks

    10 x 2 = 20
  1. Find the value of x

  2. Identify which ones are parallelograms and which are not.

  3. Identify which ones are parallelograms and which are not.

  4. Which ones are not quadrilaterals?

  5. Which ones are not quadrilaterals

  6. Identify which ones are trapeziums and which are not.

  7. This is a copy of the tangram puzzle. The tangram puzzle consists of 7 geometric pieces which are normally boxed in the shape·of a square. The pieces, called 'tans', are used to create different patterns including animals, people, numbers, geometric shapes and many more.
    You can make several polygons using the pieces in different ways.

  8. Angle sum for a polygon
    Draw any quadrilateral ABCD. Mark a point P in its interior. Join the segments PA, PB, PC and PD. You have 4 triangles now.
    How much is the sum of all the angles of the 4 triangles?
    How much is the sum of the angles at their vertex, now P?
    Can you now find the 'angle sum' of the quadrilateral ABCD?
    Can you extend this idea to any polygon?

  9. Procedure: Cut off a quadrilateral ABCD in a paper with prescribed dimensions. Mark the mid points P, Q, R and S of the sides AB, BC, CD and DA respectively. By folding the sides appropriately cut off the quadrilateral PQRS. Fold the quadrilateral (i) Does PQ lie on SR? similarly fold the other way and verify QR lies on PS.
    Observation
    (i) What do you conclude?
    (ii) Name the resulting figure?
    Draw the following quadrilaterals and join the mid points of all its sides. Find the resultant shape and complete the table.

    Name of the quadrilateral Shape obtained by joining the midpoints
    Parallelogram  
    Rectangle  
    Square  
    Kite  
    Trapezium  
    Rhombus  
  10. AB and CD are two parallel sides of a cyclic quadrilateral ABCD such that AB = 10 cm, CD = 24 cm and the radius of the circle is 13 cm. Find the shortest distance between the two sides AB and CD

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