Constructing a Quadrilateral

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2

Step 4 :- Join AB, DB and CB

C

D

A

5.5 cm

5 cm

5.5 cm

ABCD is required triangle

B

4 cm

7 cm

Slide 13

Constructing a Quadrilateral when two adjacent sides and three angles are known

M

T

S

I

6.5 cm

3.5 cm

ROUGH SKETCH

Slide 14

3.5 cm

M

I

X

Slide 15

3.5 cm

M

I

X

Y

S

6.5 cm

Slide 16

3.5 cm

M

I

X

Y

Z

S

Slide 17

Step 4 :- Mark that point T where SY and MZ meet.

MIST is the required Quadrilateral.

T

3.5 cm

M

I

X

Y

Z

S

Slide 18

Constructing a quadrilateral when three sides and two included diagonals are given.

A

B

C

D

4 cm

5 cm

6.5 cm

ROUGH SKETCH

Slide 19

5 cm

B

C

X

Slide 20

5 cm

B

C

X

A

4 cm

Slide 21

5 cm

B

C

X

Y

4 cm

Slide 22

5 cm

B

C

X

4 cm

Y

D

6.5 cm

Slide 23

ABCD

is the required

Quadrilateral.

5 cm

B

C

X

4 cm

Y

D

6.5 cm

Slide 24

Constructing a Quadrilateral when other special properties are known.

Some examples are :-

Draw a square of side 5 cm.

Construct a rhombus ABCD where AC = 6 cm, and BD = 7 cm.

Slide 25

Example 1 :- Draw an square ABCD of side 5 cm.

Initially it appears that only one measurements has been given. Actually we have many more details with us, because the figure is special quadrilateral namely a square. We know that each of its angles is a Right angle.

4.5 cm

4.5 cm

4.5 cm

4.5 cm

A

B

C

D

Slide 26

Example 2 :- Construct a rhombus ABCD where AC = 6 cm, and BD = 7 cm.