Question Detail

GET 102 GEOMETRIC CONSTRUCTION: POLYGONS AND TANGENCY Objective Question

Question

For constructing a common direct tangent to two equal circles, how are the points of tangency on each circle initially determined, according to the method on page 13?
Options
A By drawing a line connecting the top-most points of both circles.
B By constructing lines at 90° from each circle's center to the center line.
Correct Answer
C By bisecting the distance between the two circles' centers.
D By extending the radii of the circles towards each other.
Correct Answer

Option B is the correct answer.

Detailed Explanation

Page 13, step 2, states: 'From each centre, construct lines at 90° to the centre line.' These lines identify the points on the circumference that are perpendicular to the center line, which are the points of tangency for a direct common tangent.

Hint

Examine 'To Construct a Common Tangent to Two Equal Circles' on page 13, particularly step 2.

Question Info