Please solve this worksheet: Will Give a Brainly Award, And will appreciate it very much
Answers
1)
PQ=4cm
QR=6cm
RS=5cm
PS=5.5cm
PR=7cm
Firstly, we will draw a rough sketch ,
PR is diagonal
Now Steps for Construction:
Step 1: Draw a line PR as diagonal (PR = 7cm)
Step 2: Draw an arc 4cm top of the PR and P as center.
Step 3: Taking 6cm and mark arc top of the PR named Q.
Step 4: Draw an arc 5.5 cm bottom of the PR and P as center.
Step 5: Taking 5cm and mark arc below of the PR named S.
∴ PQRS is required quadrilateral.
2)
Construct a rhombus ABCD where AB = 6.8 cm using scale
Now, steps for construction
Step 1 : Draw a line segment.
Step 2 : A as centre and 7.5 cm as radius draw an arc.
Step 3 : Similarly, B as centre and 6.8 cm as radius draw an arc which cuts the before arc at C.
Step 4 : join AC and DC.
Step 5 : Draw Parallel line with BC through point A such that AX || BC.
Step 6 : Also draw parallel line with AB through point C such that CY || AB.
Step 7 : Line AX and CY intersect at D.
3)
Construct a rhombus ABCD where AB = 6.6 cm using scale
Now, steps for construction
Step 1 : Draw a line segment.
Step 2 : A as centre and 8 cm as radius draw an arc.
Step 3 : Similarly, B as centre and 6.6 cm as radius draw an arc which cuts the before arc at C.
Step 4 : join AC and DC.
Step 5 : Draw Parallel line with BC through point A such that AX || BC.
Step 6 : Also draw parallel line with AB through point C such that CY || AB.
Step 7 : Line AX and CY intersect at D.
4)
Steps of construction:
1) Draw AC = 8 cm
2) Draw the perpendicular bisector of AC to locate the mid-point of AC. Let the perpendicular bisector intersect AC at point O. Therefore, O is the mid-point of AC.
3) Through O, construct a line POQ so that angle POC = 60 degree
4) From OP, cut OD = OC = 4 cm and from OQ, cut OB = OA = 4 cm
5) Join AB, BC, CD and DA
Then, ABCD is the required rectangle as follows:
5) ❓
6)
Step 1 : draw a line BE=2.9cm
Step 2 : construct angle B =75 degree.
Step 3 : draw an arc of 3.4cm as T from B.from E
Step 4 : draw arc of 3.2cm and from T draw an arc of 2.7cm as S
7)
Step 1 : Draw a line segment AB = cm.
Step 2 : draw an arc using compass taking A as centre & radius = 7cm
Step 3 : Draw an arc using compass taking B as centre & radius = 8 cm such that it intersect arc drawn.
Step 4 : Join AO & BO & extend AO till C such that AO = OC & extend BO till D such that BO = OD
Step 5 : join AD & CD & BC.