Grade 8 Construction of Quadrilaterals Worksheet (For CBSE, ICSE, IAS, NET, NRA 2022)

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(1) Construct a Quadrilateral ABCD with AB = 6 Cm, BC = 7 Cm, CD = 9 Cm, DA = 7 Cm, and BD = 10 Cm

(2) Construct a Parallelogram PQRS with PQ = 7.5 Cm, QR = 6.3 Cm, and PR = 8 Cm

(3) Construct a Rhombus MNOP with MN = 7 Cm and MO = 9 Cm

(4) Construct a Quadrilateral HELO with HE = 8 Cm, EL = 6 Cm, LO = 5 Cm, HL = 10 Cm, and EO = 7 Cm

(5) Construct a Quadrilateral BODY with BO = OD = DY = 8 Cm and BD = OU = 10 Cm

(6) Construct a Square of WXYZ of 7 Cm

(7) Construct a quadrilateral ABCD with

(8) A quadrilateral PQRS with

(9) a Rectangle OPEN with OP = 8.5 Cm and en = 5.5 Cm

(10) A quadrilateral STAR with ∠ S = 70°, ∠ T = 90°, ∠ A = 60°, ST = 7 cm and TA = 6 cm.

(11) A parallelogram FAST with

(12) A trapezium PRAS with

Answers and Explanations

Answer 1

  • To draw a Quadrilateral ABCD of given Dimension first draw Line (Show in red colour in figure)
  • Now draw a circle having radius 7cm and centre Point B. Name that Circle “c” (Show in green colour in figure)
  • Now draw Another Circle having radius 7 cm and centre Point A name that circle “d” . (Show in sky blue colour in figure)
  • Now, draw a circle having radius 10 cm and centre point B name that circle “e” . (Show in dark green colour in figure)
  • Now at intersect point of circle “e” and circle “d” draw a point D
  • Now draw a circle having radius 9 cm, and centre point D; name that circle “g” (Show in grey colour in figure) .
  • Now at intersect point of circle “c” and circle “g” draw a point C.
  • Now, draw a line connecting the point C and D (Show in Red Colour in figure) .
  • Now draw a line connecting two point B and C (Show in Red Colour in figure) .
  • Now, draw a line connecting to point A and D (Show in Red Colour in figure) .
  • As shown in figure ABCD is our asked quadrilateral.
Illustration 2 for Answers_and_Explanations

Answer 2

  • To draw a parallelogram of given dimension First Draw a line

(Shown in red colour in figure)

  • Now draw a circle having radius 6.3 cm and Centre point Q; name that circle “a” (show in Blue Colour in figure)
  • Now, draw a circle having radius 8 cm and centre point P; Name that Circle “b” (Show in green colour in figure)
  • Now at intersect Point of circle “a” and circle “b” draw a point R (Show as black mark point in figure)
  • Now, draw a line QR.
  • Now draw a long line parallel to line PQ and pass through the point R; name that line “d” . (Show in red colour in figure)
  • Now, draw a long line parallel to line QR and pass through the point P Name that line “c” . (Show in red colour in figure)
  • Now at interest point of Line “c” and line “d” draw a point S. (Shown as black mark point in figure)

Now draw a line ₹ (Shown in red colour in figure)

Now, draw a line PS (Shown in red colour in figure)

  • As shown in below figure PQRS is our Parallelogram of asked Dimension.
Illustration 3 for Answers_and_Explanations

Answer 3

  • Draw a Vertical Line (Shown in yellow Colour) .
  • Draw a circle having radius 7 cm and centre point M; name that circle “g” . (Show in blue Colour in figure)
  • Draw a circle having radius 7 cm and centre point O; name that circle “h” (Show in red Colour in figure)
  • Give a name of intersecting point of Circle “g” and Circle “h” ; “N” (Right hand side point) and “P” (left hand side point) . (Shown in Blue Colour in figure.)
  • Draw a line MN (Shown in Black Colour in figure)
  • Draw a line NO (Shown in Black Colour in figure)
  • Draw a line OP (Shown in Black Colour in figure)
  • Draw a line MP (Shown in Black Colour in figure)
  • As shown in below figure MNOP is our rhombus of asked dimension.
Illustration 4 for Answers_and_Explanations

Answer 4

  • Draw a line (Show in red colour in figure)
  • Draw a circle having radius 6 cm and centre point E; Name that circle “a” . (Show in green colour in figure)
  • Draw a circle having radius 10 cm and centre point H; Name that circle “b” . (Show in dark yellow colour in figure)
  • At intersect of Circle “a” and Circle “b” ; Mark a point “L” . (Show in blue colour in figure)
  • Draw a circle having radius 5 cm and centre point L; Name that circle “c” . (Show in black colour in figure)
  • Draw a circle having radius 7 cm and centre point E; Name that circle “d” . (Show in orange colour in figure)
  • At intersect of Circle “c” and Circle “d” ; Mark a point “O” . (Show in blue colour in figure)
  • Draw a line EL (Shown in Red Colour in figure)
  • Draw a line LO (Shown in Red Colour in figure)
  • Draw a line OH (Shown in Red Colour in figure)
  • As shown in below figure HELO is our quadrilateral of asked dimension.
Illustration 5 for Answers_and_Explanations

Answer 5

  • Draw a line (Shown in Red colour in figure)
  • Draw a circle having radius 8 cm and centre point O; Name that circle “g” . (Show inBlue colour in figure)
  • Draw a circle having radius 10 cm and centre point B; Name that circle “h” . (Show in Green colour in figure)
  • At intersect of Circle “g” and Circle “h” ; Mark a point “D” . (Show in blue colour in figure)
  • Draw a circle having radius 8 cm and centre point D; Name that circle “i” . (Show in Pink colour in figure)
  • Draw a circle having radius 10 cm and centre point O; Name that circle “j” . (Show in dark yellow colour in figure)
  • At intersect of Circle “i” and Circle “j” ; Mark a point “Y” . (Show in blue colour in figure)
  • Draw a line OD (Shown in Red Colour in figure)
  • Draw a line DY (Shown in Red Colour in figure)
  • Draw a line BY (Shown in Red Colour in figure)
  • As shown in below figure BODY is our quadrilateral of asked dimension.
Illustration 6 for Answers_and_Explanations

Answer 6

  • Draw a horizontal line . (Shown in Red colour in figure)
  • Draw a long line parallel to line WX at a distance of 7 cm; Name that line “a” (Shown in Blue colour in figure)
  • Draw a vertical long line pass through point X; Name that line “b” (Shown in Dark yellow colour)
  • At the intersect point of line “a” and line “b” , Mark a point Y (Shown in blue colour in figure)
  • Draw a vertical long line pass through point W; Name that line “c” (Shown in Pink colour in figure)
  • At the intersect point of line “a” and line “c” , Mark a point Z (Shown in blue colour in figure)
  • Draw a line XY
  • Draw a line YZ
  • Draw a line WZ
  • As shown in below figure WXYZ is Square of asked dimension.
Illustration 7 for Answers_and_Explanations

Answer 7

  • Draw a line (Shown in black colour in figure)
  • Draw a line “BC” at (measure in counter clock wise) starting from point B and having length 9.5 cm. (Shown in Red colour in figure)
  • Draw a line CD at (measure in counter clock wise) , considering BC as a base line; having length of 6 cm. (shown in green colour in figure)
  • Connect Point A and Point D.
  • As shown in figure ABCD is a quadrilateral of asked dimension.
Illustration 8 for Answers_and_Explanations

Answer 8

  • Draw a line
  • Now draw a line QR at (measure in counter clock wise) having length 8cm.
  • Draw a line ₹ at (measure in counter clock wise) having length of 8cm.
  • Joint the point S and P.
  • As shown in figure PQRS is a quadrilateral of asked dimension.
Illustration 9 for Answers_and_Explanations

Answer 9

  • Draw a horizontal line . (Shown in Red colour in figure)
  • Draw a long line parallel to line OP at a distance of 5.5 cm; Name that line “a” (Shown in Blue colour in figure)
  • Draw a vertical long line pass through point P; Name that line “b” (Shown in Dark yellow colour)
  • At the intersect point of line “a” and line “b” , Mark a point E (Shown in blue colour in figure)
  • Draw a vertical long line pass through point O; Name that line “c” (Shown in Pink colour in figure)
  • At the intersect point of line “a” and line “c” , Mark a point N (Shown in blue colour in figure)
  • Draw a line PE
  • Draw a line EN
  • Draw a line ON
  • As shown in below figure OPEN is Rectangle of asked dimension.
Illustration 10 for Answers_and_Explanations

Answer 10

  • Draw a line (Shown in red colour in figure)
  • Draw a perpendicular long line “g” to line ST (shown yellow colour in figure)
  • Mark a point A at a distance 6 cm from point T on line “g” . (Shown in blue colour in figure)
  • Draw a long line “i” at in counter clock wise to line ST starting from point S. (Shown in Green colour in figure)
  • Draw a Long line “j” at in counter clock wise to line TA, starting through point A. (Shown in pink colour in figure)
  • Mark a intersect point R of line “i” and line “j” (Shown in blue colour in figure)
  • Draw a line TA (Shown in yellow colour in figure)
  • Draw a line AR (Shown in pink colour in figure)
  • Draw a line ₹ (Shown in green colour in figure) .
  • As shown in below figure STAR is a quadrilateral asked size.
Illustration 11 for Answers_and_Explanations

Answer 11

  • Draw a line (Shown in red colour in given figure)
  • Draw a circle “c” having radius 4 cm and centre point F. (Shown in blue colour in figure)
  • Draw a line “g” at in counter clock wise to line FT and pass through point F. (Shown in Green colour in figure)
  • Mark a intersect point T of a circle “c” and line “g” . (Shown in blue colour in figure)
  • Draw a line “h” parallel to line FT and pass through the point T. (Shown in pink colour in figure)
  • Draw a line “i” parallel to line “g” and pass through the point A. (Shown in black colour in figure)
  • Mark a intersect point S of a line “h” and line “i” . (Shown in blue colour in figure)
  • Draw a line AS.
  • Draw a lime ST.
  • Draw a line FT.
  • As shown in below figure FAST is a Parallelogram asked size.
Illustration 12 for Answers_and_Explanations

Answer 12

  • Draw a line (shown in figure in red colour)
  • Draw a line at a angle of to line PR in counter clock wise. (shown in yellow colour in figure)
  • Draw line “h” parallel to line PR and pass through point A. (Shown in blue colour in figure)
  • Mark a point S at 7 cm distance from point A on line “h” . (Shown in blue colour in figure)
  • Draw a line PS. (Shown in pink colour in figure)
  • Draw a line AS. (Shown in blue colour in figure)
  • As shown in below figure PRAS is a Trapezium of asked size.
Illustration 13 for Answers_and_Explanations

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