If the area of a circle is 154 cm2, then its perimeter is
(A) 11 cm (B) 22 cm (C) 44 cm (D) 55 cm
Draw a triangle ABC in which AB = 4 cm, BC = 6 cm and AC = 9 cm. Construct a triangle similar to ∆ABC with scale factor 3/2 . Justify the construction. Are the two triangles congruent? Note that all the three angles and two sides of the two triangles are equal.
Draw a circle of radius 4 cm. Construct a pair of tangents to it, the angle between which is 60º. Also justify the construction. Measure the distance be- tween the centre of the circle and the point of intersection of tangents.
Draw a triangle ABC in which AB = 5 cm, BC = 6 cm and ∠ ABC = 60º . Construct a triangle similar to ∆ ABC with scale factor 5/7 . Justify the construction.
Draw an isosceles triangle ABC in which AB = AC = 6 cm and BC = 5 cm. Construct a triangle PQR similar to ∆ ABC in which PQ = 8 cm. Also justify the construction.
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.
Draw a parallelogram ABCD in which BC = 5 cm, AB = 3 cm and ∠ABC = 60°, divide it into triangles BCD and ABD by the diagonal BD. Construct the triangle BD’ C’ similar to ∆BDC with scale factor 4/3 . Draw the line segment D’A’ parallel to DA where A’ lies on extended side BA. Is A’BC’D’ a parallelogram?
Two line segments AB and AC include an angle of 60° where AB = 5 cm and AC = 7 cm. Locate points P and Q on AB and AC, respectively such that AP = 3/4 AB and AQ = 1/4 AC . Join P and Q and measure the length PQ.
Given a rhombus ABCD in which AB = 4 cm and ∠ABC = 60°, divide it into two triangles say, ABC and ADC. Construct the triangle AB’C’ similar to ∆ABC with scale factor 2/3 . Draw a line segment C’D’ parallel to CD where D’ lies on AD. Is AB’C’D’ a rhombus? Give reasons.
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