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Practical Geometry

Question
CBSEENMA8003162
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(Construct a quadrilateral ABCD, given that BC = 4.5 cm, AD = 5.5 cm. CD = 5 cm, the diagonal AC = 5.5 cm and diagonal BD = 7 cm.)
Can we draw the quadrilateral by drawing triangle ABD first and then find the fourth point C?

Solution

Since, the measurement of AB is not given.
∴ We cannot locate the point B. Thus, the quadrilateral cannot be drawn.

Some More Questions From Practical Geometry Chapter

We saw that 5 measurements of a quadrilateral can determine a quadrilateral uniquely. Do you think any five measurements of the quadrilateral can do this?

Can you draw a parallelogram BATS where BA = 5 cm, AT = 6 cm and AS = 6.5 cm? Why?

Can you draw a rhombus ZEAL where ZE = 3.5 cm, diagonal EL = 5 cm? Why?

A student attempted to draw a quadrilateral PLAY where PL = 3 cm, LA = 4 cm, AY = 4.5 cm, PY = 2 cm and LY = 6 cm, hut could not draw it. What is the reason?

Construct the following quadrilateral:
Quadrilateral ABCD
AB = 45 cm
BC = 5.5 cm
CD = 4 cm
AD = 6 cm
AC = 7 cm

Construct the following quadrilateral:
Quadrilateral JUMP
JU = 3.5 cm
UM = 4 cm
MP = 5 cm
PJ = 4.5 cm
PU = 6.5 cm

Construct the following quadrilateral.
Parallelogram MORE
OR = 6 cm
RE = 4.5 cm
EO = 7.5 cm

Construct the following quadrilateral.
Rhombus BEST
BE = 4.5 cm
ET = 6 cm 

Construct the following quadrilateral.
quadrilateral LIFT
LI = 4 cm
IF = 3 cm
TL = 2.5 cm
LF = 4.5 cm
IT = 4 cm

Construct the following quadrilateral.
Quadrilateral GOLD
OL = 7.5 cm
GL = 6 cm
GD = 6 cm
LD = 5 cm
OD = 10 cm

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