Give Steps of Construction also.
1. Construct a Quadrilateral ABCD
Given That,
BC = 4.5 cm
AD = 5.5 cm
CD = 5 cm
AC = 5.5 cm
BD = 6 cm
2. Construct a Parallelogram PQRS where
PQ = 6 cm
QR = 5 cm
Angle S = 75 Degree
3. Construct a Rhombus PLAN with diagonals
PA = 6 cm
LN = 8 cm
4. Construct a rectangle whose length is 5 cm and breadth is 4 cm.
Answers
Explanation:
Constructions :-
See the above attachments
1.
Given That,
BC = 4.5 cm
AD = 5.5 cm
CD = 5 cm
AC = 5.5 cm
BD = 6 cm
Steps of Construction:-
→ Draw a line segment BC with 4.5 cm
→ Draw an arc with 6 cm from B and draw another arc with 5 cm from C .
→ Join B and D , C and D
→ Draw an arc with 5.5 cm from B and draw another arc with 5.5 cm from D .
→ Join D and A , C and A.
This is the required ABCD quadrilateral.
2.
Given that
PQ = 6 cm
QR = 5 cm
<S = 75°
We know that
In a Parallelogram opposite sides are equal and parallel and opposite angles are equal.
Steps of Construction:-
→ Draw a line segment QR with 5 cm
→ Construct an angle of 75° at Q.
→ Draw an arc with PQ = 6 cm from Q.
→ Name the intersecting point as P.
→ Construct an angle of 105° at R .
→ Draw a line segment PS with 5 cm
→ Join P and S
This is the required PQRS parallelogram.
3.
Given that
PA = 6 cm
LN = 8 cm
Steps of Construction:-
→ Draw a line segment PA = 6 cm .
→ Construct perpendicular bisectors of PA and join the intersecting points and name them as X and Y
→ The Perpendicular bisector cuts the line segment PA at O.
→ Draw an arc from O with 4 cm on X and On Y.
→ Name the points as L and N
→ Join P and N , N and L , A and N , A and L.
This is the PLAN rhombus .
4.
Given that
length = 5 cm
breadth = 4 cm.
Steps of Construction:-
→ Draw a line segment BC = 5 cm
→ Construct 90° at B and C
→ Extending them to X and Y .
→ Draw arcs from B and C with 4 cm
→ Name the intersecting points as A and D.
→ Join A and D .
This is the required rectangle.
Note :-
There are three steps in the construction.
They are :-
- Rough Diagram
- Construction
- Steps of Construction
