Question
Construct a parallelogram PQRS such that PQ = 5.2cm, PR = 6.8cm and QS = 8.2cm.
✓
Answer
In a parallelogram opposite sides are equal. Thus, we have to construct a quadrilateral PQRS in which PQ = 5.2cm, PR = 6.8cm and QS = 8.2cm.Steps of construction:
Step I: Draw QS = 8.2cm
Step II: With Q as the centre and radius 5.2cm, draw an arc.
Step III: With S as the centre and radius 5.2cm, draw an arc to intersect the arc drawn in Step II at C.
Step IV: With P as the centre and radius 6.8cm.
Step V: With Q as the centre and radius 5.2cm, draw an arc to intersect the arc drawn in Step IV at A.
Step VI: Join QR, QP, PS and SR.
The quadrilateral PQRS so obtained is the required quadrilateral.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The weights of new born babies (in kg) in a hospital on a particular day are as follows:
2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4.
2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4.
- Rearrange the weights in descending order.
- Determine the highest weight.
- Determine the lowest weight.
- Determine the range.
- How many babies were born on that day?
- How many babies weigh below 2.5 kg?
- How many babies weigh more than 2.8 kg?
- How many babies weigh 2.8 kg?
Simplify :
(5x – 7y)³ + (5x + 7y)³
The sides of a rectangle are in the ratio 2 : 3 and its perimeter is 20cm. Draw the rectangle.
In the given figure, line p || line q. Line t and line s are transversals. Find measure of ∠x and ∠y using the measures of angles given in the figure.
Find the cube root of the following rational numbers:
0.001728
0.001728
Cubes A, B, C having edges 18cm, 24cm and 30cm respectively are melted and moulded into a new cube D. Find the edge of the bigger cube D.
The inside perimeter of a running track (shown in Fig.) is 400m. The length of each of the straight portion is 90m and the ends are semi-circles. If track is everywhere 14m wide, find the area of the track. Also, find the length of the outer running track.
Solve the following equation and verify your answer:
$\frac{2-\text{y}}{\text{y}+7}=\frac{3}{5}$
→$\frac{2-\text{y}}{\text{y}+7}=\frac{3}{5}$
The central hall of a school is 80 m long and 8 m high. It has 10 doors each of size $3 m \times 1.5 m$ and 10 windows each of size $1.5 m \times 1 m$. If the cost of the white-washing the walls of the hall at the rate of Rs. 1.20 per $m ^2$ is Rs. 2385.60 , find the breadth of the hall.
→As shown in the given figure, a student drew ∆ABC using five parallel lines of a notebook. Then he found the centroid G of the triangle. How will you decide whether the location of G he found, is correct.
