问题1：构造以下四边形。
(i)四边形提升
LI = 4厘米
如果= 3厘米
TL = 2.5厘米
LF = 4.5厘米
IT = 4厘米
解决方案：
Steps of construction:
Step 1: Draw a line of 4 cm and label it as LI
Step 2: Taking I as the centre draw an arc of radius 3cm
Step 3: Taking L as the centre draw an arc of radius 4.5cm, so that both the arcs from I and L intersect each other and marks the intersection point as F. consider the fig below
Step 4: Join IF and LF
Step 5: Take L as centre draw an arc of radius 2.5 cm
Step 6: Take I as centre draw an arc of 4 cm to meet the previous arc and mark the intersection point as T.
Step 7: Join TF and TL
Step 8: Hence we have the required quadrilateral LIFT.
(ii)四边形黄金
OL = 7.5厘米
GL = 6厘米
GD = 6厘米
LD = 5厘米
外径= 10厘米
解决方案：
Steps of construction:
Step 1: Draw a line OL of 7.5 cm
Step 2: Taking L as the centre draw an arc of 5 cm.
Step 3: Taking O as the centre draw an arc of 10 cm and let it intersect with the previous arc. Mark the intersection point as D as shown below:
Step 4: Join LD and OD.
Step 5: Take D as the centre and draw an arc of 6 cm.
Step 6: Now take L as the centre and drawn another arc of 6 cm that will intersect with the former arc at point G.
Step 7: Join GL and GD.
Step 8: Hence we have the required quadrilateral GOLD.
(iii)菱形弯
BN = 5.6厘米
DE = 6.5厘米
解决方案：
Steps of construction:
Step 1: Draw a line BN of 5.6 cm
Step 2: Draw perpendicular bisector of BN and mark the bisector point as O
Step 3: Draw two arcs with centre O of radius 1 × DE = 1 × 6.5 cm = 3.25 cm and these arcs will meet the bisector at point D and E
2 2
Step 4: Join BE, EN, ND, and BD.
Step 5: Hence we have the required rhombus BEND.
