- Construct a square of side equal to 7.5?
- Construct a rhombus of side 5cm and one of its ahgles equal to 30*?
- Construct a parallelogram ABCD in which AB=7cm,AD=5cm,and <A=45*?
- Construct a parallelogram ABCD in which AB=7cm,AC=10cm,and BD=8cm {remember that the diagonals bisect each other}?
meritnation experts please answer my questions fast,as tomorrow is my maths exam.......
1. Please refer to the study material, chapter –4, lesson –5 to understand how to construct a square.
2. Following are the steps of construction of a rhombus whose one side and one angle is given:
(i) Construct line segment AB of length 5 cm.
(ii) At B, construct angle of 30° with the help of compass and name it as ∠ABL.
(iii) Taking 5 cm as radius, mark an arc on the ray BL and name the point of intersection as C.
(iv) from point A, construct ray AK parallel to BC.
(v) Taking 5 cm as radius, mark an arc on the ray AK and name the point of intersection as D.
(vi) Join CD. ABCD is the required rhombus.
3. Following are the steps of construction of a parallelogram whose two sides and angle between them is given:
(i) Construct line segment AB of length 7 cm.
(ii) At point A, construct angle of 45° with the help of compass and name it as ∠BAL.
(iii) Taking 5 cm as radius, mark an arc on the ray AL and name the point of intersection as D.
(iv) From point B, construct ray BK parallel to AD.
(v) Taking 5 cm as radius, mark an arc on ray BK and name it as C.
(vi) Join CD. ABCD is the required parallelogram.
4. Following are the steps of construction of a parallelogram whose diagonals and one side is given:
(i) Construct line segment AB of length 7 cm.
(ii) From point A, mark an arc taking 5 cm as radius.
(iii) From point B, mark an arc taking 4 cm as radius. Name the point of intersection as O. Join AO and OB.
(iv) Extend AO and BO. From O, mark an arc on extended ray AO of radius 5 cm. Name it as C.
(v) Similarly mark an arc on extended ray BO of radius 4 cm. Name it as D.
(vi) Join AD, DC and BC. ABCD is the required parallelogram.
[ Note: Diagonals of a parallelogram bisect each other. So, and ]