Draw a line segment AB of length 7 cm. Using a ruler and compasses, find a point P on AB such that AP/AB = 3/5.
(i) Draw a line segment of length 8 cm and divide it internally in the ratio 4:5.
(ii)Draw a line segment of length 7.6 cm and divide it in the ratio 5: 8. Measure the two parts.
3: Construct a ∆PQR, in which PQ = 6 cm, QR = 7 cm and PR = 8 cm. Then, construct another a triangle whose sides are 4/5 times the corresponding sides of ∆PQR.
Construct a triangle with sides 5 cm, 6 cm, and 7 cm and then another triangle whose sides are 7/5 of the corresponding sides of the first triangle.
Construct a ∆ABC, with BC = 7 cm, ∠B = 60^o and AB = 6 cm. Construct another a triangle whose sides are times the corresponding sides of ∆ABC.
Construct a ∆ABC in which AB = 6 cm, ∠A = 30^o and ∠B = 60^o. Construct another ∆AB’C’ similar to ∆ABC with base AB’ = 8 cm.
Construct a ∆ABC in which BC = 8 cm, ∠B = 45^0 and ∠C = 60^o. Construct another triangle similar to ∆ABC such that its sides are 3/5 of the corresponding sides of ∆ABC.
To construct a triangle similar to ∆ABC in which BC = 4.5 cm, ∠B = 45^o and ∠C = 60^o, using a scale factor of 3/7, BC will be divided in the ratio. (a) 3 : 4 (b) 4 : 7 (c) 3 : 10 (d) 3 : 7
Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another a triangle whose sides are 1_1/2 (or 3/2) times the corresponding sides of the isosceles triangle.
Draw a circle of radius 3 cm. From a point P, 7 cm away from the center of the circle, draw two tangents to the circle. Also, measure the lengths of the tangents.
Draw two tangents to a circle of radius 3.5 cm from a point P at a distance of 6.2 cm from it's center.
Draw a circle of radius 3 cm. Take two-point P and Q on one of its diameters extended on both sides, each at a distance of 7 cm on opposite sides of its center. Draw tangents to the circle from each of these two points P and Q.
Draw a circle with center O and radius 4 cm. Draw any diameter AB of this circle. Construct tangents to the circle at each of the two endpoints of the diameter AB.
Draw a circle with the help of a bangle. Take any point P outside the circle. Construct the pair of tangents from the point P to the circle.
Draw a line segment AB of length 8 cm. Taking A as the centre, draw a circle of radius 4 cm, and taking B as center, draw another circle of radius 3 cm. Construct tangents to each circle from the center of the other circle.
Draw a circle of radius of 4.2 cm. Draw a pair of tangents to this circle inclined to each other at an angle of 45°
Write the steps of construction for drawing a pair of tangents to a circle of radius 3 cm, which are inclined to each other at an angle of 60^o.
Draw a circle of radius 3 cm. Draw a tangent to the circle making an angle of 30° with a the line passing through the center.
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