Question
Construct a quadrilateral ABCD given AD = 3.5cm, BC = 2.5cm, CD = 4.1cm, AC = 7.3cm and BD = 3.2cm.
✓
Answer
Steps of construction:Step I: Draw CD = 4.1m.
Step II: With C as the centre and radius 7.3cm, draw an arc.
Step III: With D as the centre and radius 3.5cm, draw an arc to intersect the arc drawn in Step II at A.
Step IV: With D as the centre and radius 3.2cm, draw an arc on the other side of AC.
Step V: With C as the centre and radius 2.5cm, draw an arc to intersect the arc drawn in Step IV at B.
Step VI: Join BA, DA, BC and BD and AC to obtain 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
Draw a line. Take a point outside the line. Draw a perpendicular from the point to the line with the help of a set-square
The runs scored by two teams A and B in first 10 overs are given below:
Draw a graph depicting the data, making the graphs on the same axes in each case in two different ways as a graph and as a bar chart.
| Overs: | I | II | III | IV | V | VI | VII | VIII | IX | X |
| Team A: | 2 | 1 | 8 | 9 | 4 | 5 | 6 | 10 | 6 | 2 |
| Team B: | 5 | 6 | 2 | 10 | 5 | 6 | 3 | 4 | 8 | 10 |
Find the area of a trapezium whose parallel sides of lengths 10cm and 15cm are at a distance of 6cm from each other. Calculate this area as:
- The sum of the areas of two triangles and one rectangle.
- The difference of the area of a rectangle and the sum of the areas of two triangles.
The parallel sides of a trapezium are 25cm and 11cm, while its nonparallel sides are 15cm and 13cm. Find the area of the trapezium.
Locate the points:
- (1, 1), (1, 2), (1, 3), (1, 4)
- (2, 1), (2, 2), (2, 3), (2, 4)
- (1, 3), (2, 3), (3, 3), (4, 3)
- (1, 4), (2, 4), (3, 4), (4, 4).
Draw an isosceles triangle. Locate its centroid, orthocentre, circumcentre and incentre. Verify that they are collinear.
Draw a pie-diagram for the following data of the investment pattern in a five year plan:
|
Agriculture
|
Irrigation and Power | Small Industries |
Transport
|
Social service
|
Miscellaneous
|
|
14%
|
16%
|
29%
|
17%
|
16%
|
8%
|
Construct a quadrilateral PQRS, where PQ = 3.5cm, QR = 6.5cm, $\angle\text{P}=\angle\text{R}=105^\circ$ and $\angle\text{S}=75^\circ$
→Draw a histogram for the frequency distribution of following data:
Hint. Take 1 small division = 10.
|
Class interval
|
8-13
|
13-18
|
18-23
|
23-28
|
28-33
|
33-38
|
38-43
|
|
Frequency
|
320
|
780
|
160
|
540
|
260
|
100
|
80
|
Umatai purchased following items from a Khadi – Bhandar.
i. 3 sarees for Rs 560 each.
ii. 6 bottles of honey for Rs 90 each.
On the purchase, she received a rebate of 12%. How much total amount did Umatai pay ?
i. 3 sarees for Rs 560 each.
ii. 6 bottles of honey for Rs 90 each.
On the purchase, she received a rebate of 12%. How much total amount did Umatai pay ?