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10. Constructions
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Q4 of 21 Page 115

A pair of tangents can be constructed to a circle inclined at an angle of 170°.

True


If the angle between the pair of tangents is always > 0 or <180 °,


 


Then we can construct a pair of tangents to a circle.


 


Hence, we can draw a pair of tangents to a circle inclined at an angle of 170°, as shown below:


 



 

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2

To construct a triangle similar to a given ∆ ABC with its sides 7/3 of the corresponding sides of ∆ABC, draw a ray BX making an acute angle with BC and X lies on the opposite side of A with respect of BC. The points B1, B2,...........B1 are located at equal distances on BX, B3 is joined to C and then a where C’ lines on BC produced. Finally line segment A’C’ is drawn parallel to AC.

3

A parallel tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of 3 cm from the center.

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Draw a line segment of length 7 cm. From a point P on it which divides it into the ratio 3:5.

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Draw a right ∆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?

Questions · 21
10. Constructions
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