WBBSE Solutions For Class 7 Maths Geometry Chapter 8 Construction Of Quadrilateral

WBBSE Solutions For Class 7 Maths Geometry Chapter 8 Construction Of Quadrilateral

Question 1. Find the least number of data required to construct a

1. Parallelogram
2. Square
3. Rectangle and rhombus

Solution: 2. Square

Question 2. Draw a quadrilateral ABCD where AB=3.8cm, BC= 3cm, CD=4cm, AD= 2.5cm and ∠BAD=75°

Solution:

1. Draw a line AB with 3.8cm
2. Draw LBAD=75° and draw an Arc with 2.5cm. and on LBAD.
3. Draw an Arc with a radius of 3 cm from point B.
4. Draw an Arc with a radius of 4 cm from point D. where two Arcs meet Note the point as ‘c’
5. Now Join the line from B to C. and to D.
6. Now the Quadrilateral ABCD is formed.

Class 7 Geometry Chapter 8 Exercise Solutions

Question 3. Construct a quadrilateral PQRS in which PQ = 5.2cm, QR=3.5cm, RS= 4.6cm, SP = 3cm, and PR = 5.5cm
Solution:

1. Draw a line PR with a length of 5.5cm
2. Draw an arc with a radius of 5.2cm, from P. and draw an arc with a radius of 3.5cm from R on the above side of PR. Now mour the point as ‘Q’
3. Now Draw an arc 3cm from ‘p’ and Draw an arc with a radius of 4.6 cm
4. Now Join the mark the Joining of two arcs is Noted as ‘s’.
5. Now Join the pa and QR and also PS and RS.
6. After joining the PQ, QR, PS, and RS are formed quadrilateral PQRS.

Question 4. Construct a quadrilateral EFGH in which EH = 3.5cm, EF = 5cm, FG = 4.5 cm, ∠HEF = = 8.5° and ∠EFG =75°
Solution:

1. Draw a line EF with a length of 5 cm.
2. Make the ∠EFG = 75°, and draw aline with the angle of 75° and draw a Arc with 4.5cm From ‘F’ and make the point as ‘G’.
3. Make the ∠HEF = 85° and draw a line with the angle of 85° and draw an area with 3.5cm From E and make the point ‘H’.
4. Now Join the line ‘GH’.
5. Now the quadrilateral EFGH is formed.

WBBSE Solutions For Class 7 Maths Chapter 8 

Question 5. Construct a periodogram ABCD where AB = 4.6cm, BC = 7cm, and ∠ABC = 60°
Solution:

1. Draw a line BC with 7cm. and make the ∠ABC = 60°.
2. Draw a line through the angle ∠ABC = 60°, arc with 4.6cm, and make a point ‘A’.
3. Draw an Arc with a length of 7cm From ‘A’ and Draw another one 46cm From point ‘C’ and Joining of two Arcs marked as ‘D’.
4. Now Join the A to D and C to ‘D’
5. Now paraudogram ABCD is formed.

Question 6. Construct a rectangle PARS where pq=6cm and QR = 8cm
Solution:

1. Draw a line QR with a length of 8 cm.
2. We know that each angle in a rectangle is 90° so make 90° angle From Q and R.
3. Draw a line through the angle we know the opposite sides are equal in a rectangle.
4. Now Draw a sa arc witch 6cm from Q, on the 90° angle line as ‘p’
5. Now Draw an arc with 6cm from ‘R’ on the 90° angle line as ‘s’
6. Now Join the P, S
7. A rectangle PQRS is formed.

Class 7 Maths Chapter 8 Geometry PDF

Question 7. Construct a square in which the length of each side is 4.8cm.
Solution:

1. Draw a line with a length of 4.8 cm; Now Draw a semi-circle with a radius as you like from Both Sides of the line
2. Now Take the other radius make the area on the semicircle, From the Baseline and draw another arc from the first area point
3. Now Take another radius And draw anchorages from semicircle ABC which makes the 90°
4. Now Draw an area with a length of 4.8 cm
5. Repeat the process mentioned in points 2, and, 3,4.
6. Now Joining of two Arcs drawn on a 90°angle straight line.
7. Now the square is formed with a side of 4.8 cm.

Question 8. onstruct a rhombus ABCD in which AB = 5cm) and /B = 45°.
Solution:

1. Draw a line segment AB
2. Draw an arc from point ‘B’ and make are from the line Joining Arc to the and Draw an arc with a length 5 cm from the First and une Joining at the semicircle
3. Mask the point c and point A as shown.
4. Now Draw Draw a is from ‘A’ and ‘c’ with a length of 5cm
5. Now Join Points ‘A’ and ‘D’. and also C to ‘D’.
6. ∴ ABCD is a thrombus formed.

WBBSE Class 7 Maths Geometry Chapter 8

Question 9. Construct a square PQRS in which PR= 5.2cm.
Solution:

1. Draw a line PR with a length of 5.2cm
2. Draw a semi-circle with some radius from P and Q as shown
3. Now Draw a arcs on the semicircle from the point where the Semicircle and line Join Draw another arc on two semicircles.
4. Now Draw another area from the first area on the two semicircles
5. таке another radius and draw another two areas from the First and second are on the semicircles
6. Now draw a line through the Interaction of arcs From P and Ras shown.
7. Now draw an Arc with a radius 5.2cm and from pand R Now Join the two arcs
8. Now a square PQRS is formed.

Question 10. Construct a Rectangle ABCD in which AC = 4.5cm and ∠ACB=60°
Solution:

1. Draw a line ‘C’ from ‘A’
2. Now Draw an Arc from point ‘C’ and draw another arc from the line and joining of the Arc.
3. Now Draw the arc from C and line and name it as ‘A’
4. NOW Draw an arc From A and B. The point of intersection is ‘D’
5. Now Join the line A to D and B toD.
6. ∴ The rectangle ABCD is formed.