Class 8 - Mathematics
Practical Geometry- Exercise 4.5
Top Block 1
Draw the following:
Question:1. The square READ with RE = 5.1 cm.
Answer :
Given: RE = 5.1 cm.
To construct: A square READ.
Steps of construction:
(i) Draw RE = 5.1 cm.
(ii) At point E, construct an angle of and draw an arc of radius 5.1 cm, which intersects at point A.
(iii) At point R, draw an arc of radius 5.1 cm at point A, draw another arc of radius 5.1 cm which intersects the first arc at point D.
(iv) Join AD and RD.
It is the required square READ.
(ii) At point E, construct an angle of and draw an arc of radius 5.1 cm, which intersects at point A.
(iii) At point R, draw an arc of radius 5.1 cm at point A, draw another arc of radius 5.1 cm which intersects the first arc at point D.
(iv) Join AD and RD.
It is the required square READ.
Question:2. A rhombus whose diagonals are 5.2 cm and 6.4 cm.
Answer :
Given: Diagonals of a rhombus
AC = 5.2 cm and BD = 6.4 cm.
To construct: A rhombus ABCD.
Steps of construction:
Mddle block 1
(a) Draw AC = 5.2 cm and draw perpendicular bisectors on AC.
(b) Since, diagonals bisect at mid-point O, therefore get half of 6.4 cm, i.e., 3.2 cm.
(c) Draw two arcs on both sides of AC of radius 3.2 cm from intersection point O, which intersects at B and D.
(d) Join AB, BC, CD and DA.
It is required rhombus ABCD.
(b) Since, diagonals bisect at mid-point O, therefore get half of 6.4 cm, i.e., 3.2 cm.
(c) Draw two arcs on both sides of AC of radius 3.2 cm from intersection point O, which intersects at B and D.
(d) Join AB, BC, CD and DA.
It is required rhombus ABCD.
Question: 3. A rectangle with adjacent sides of length 5 cm and 4 cm.
Answer :
Given: MN = 5 cm and MP = 4 cm.
To construct: A rectangle MNOP
Steps of construction:
(a) Draw a segment MN = 5 cm.
(b) At points M and N, draw perpendiculars of lengths 4 cm and produce them.
(c) Taking centres M and N, draw two arcs of 4 cm each, which intersect P and Q respectively.
(d) Join side PO.
It is required rectangle MNOP.
(b) At points M and N, draw perpendiculars of lengths 4 cm and produce them.
(c) Taking centres M and N, draw two arcs of 4 cm each, which intersect P and Q respectively.
(d) Join side PO.
It is required rectangle MNOP.
Question: 4. A parallelogram OKAY where
OK = 5.5 cm and KA = 4.2 cm.
Answer :
Given: OK = 5.5 cm and KA = 4.2 cm.
To construct: A parallelogram OKAY.
Steps of construction:
(a) Draw a line segment OK = 5.5 cm.
(b) Draw an angle of at K and draw an arc of radius KA = 4.2 cm, which intersects at point A.
(c) Draw another arc of radius AY = 5.5 cm and at point O, draw another arc of radius 4.2 cm which intersect at Y.
(d) Join AY and OY.
It is the required parallelogram OKAY.
(b) Draw an angle of at K and draw an arc of radius KA = 4.2 cm, which intersects at point A.
(c) Draw another arc of radius AY = 5.5 cm and at point O, draw another arc of radius 4.2 cm which intersect at Y.
(d) Join AY and OY.
It is the required parallelogram OKAY.