CONSTRUCTIONS (CLASS X)

CONSTRUCTION (CLASS X)

Syallabus:-

ü  TO DIVIDE THE LINE SEGMENT IN AGIVEN RATIO (INTERNALLY)

ü  CONSTRUCTION OF ATRIANGLE SIMILAR TO A GIVEN TRIANGLE

ü  CONSTRUCTION OF TANGENTS TO A CIRCLE

QUESTIONS :-

Q1. Construct a ∆ABC in which AB=6.5 cm, ∟B=60⁰ and BC=5.5 cm . Also construct a  ∆AB’C’ similar to ∆ABC, whose each side is 3/2 times the corresponding sides of ∆ABC.

Q2. Draw a ∆ABC with sides BC=6cm ,AB=5cm and ∟ABC=60⁰. Construct a ∆AB’C’ similar to ∆ABC such that sides of ∆AB’C’ are  3/4of the corresponding sides of ∆ABC.

Q3. Draw an isosceles  ∆ABC in which AB =AC= 6cm and BC=5cm  . Construct A ∆PQR similar to ∆ABC in which PQ=8cm. Also justify the construction.    

Q4. Construct a pair of tangents that can be inclined at an angle of 170⁰.

Q5. Draw   a circle of radius  6cm . From a 10cm away from its centre, construct the pair of tangents to the circle and measure its length.

Q6. Draw   a circle of radius  5cm  from a point on the concentric circle of radius 6cm draw a tangent to a circle of radius 5cm and measure its length.   

Q7. Draw a line segment of length 7.8cm and divide it in the ratio 5:8. Measure the two parts to verify the result.