Answer the following
1. Draw a line segment of
length 8cm divided it in the ratio 3:4
2. Construct a triangle
similar to a given ΔABC, where AB = 4cm , BC = 6 cm and ÐABC
= 60°, such that each of its sides is 5/7 th of the corresponding sides of the ΔABC
3. Construct a circle of radius
6 cm and draw the tangents CD1 and CD2 from a point outside the circle such
that CD1 = 9 cm and CD2 = 10 cm.
(i) Is the given construction is correct?
(ii) If the point C is at the distance of 10 units from the centre, then draw the tangents from C and measure their lengths.
(i) Is the given construction is correct?
(ii) If the point C is at the distance of 10 units from the centre, then draw the tangents from C and measure their lengths.
4. Draw a right triangle ABC
in which BC = 12 cm, AB = 5 cm and B = 90°. Construct a triangle similar
to it and of scale factor 2/ 3 . Is the new triangle also a right triangle?
5. Draw two concentric circles
of radii 3 cm and 5 cm. taking a point on outer circle construct the pair of
tangents to the other. Measure the length of a tangent and verify it by actual
calculation.
6. Construct an isosceles
triangle whose base is 7 cm and altitude 5 cm and then construct another triangle
whose sides are 3/4 times the
corresponding sides of the given triangle.
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