Draw a circle of radius 3cm. Draw any diameter of the circle. At the end points of the diameter of the circle, draw tangents to the circle. Any they parallel?
Step1: Take distance 3 cm in compass and draw a circle with centre O
Step2: Draw diameter AB. We know that the radius is perpendicular to the tangent. Using protractor draw lines at 90° from point A and B
Take points C and D on tangents as shown
⇒ ∠BAC = ∠ABD …both 90° as the radius is perpendicular to the tangent ∠BAC and ∠ABD are alternate angles for the two tangents with transversal as AB.
As alternate angles are equal the tangents are parallel.