Question Detail

GET 102 GEOMETRIC CONSTRUCTION: POLYGONS AND TANGENCY Objective Question

Question

When constructing a tangent to a circle from an external point P (as shown on page 12), what line segment is first bisected to find the center for drawing the semi-circle that identifies the tangent point?
Options
A The radius of the circle
B The line segment connecting the circle's center (O) to the external point (P)
Correct Answer
C The diameter of the circle
D The line segment connecting point P to any point on the circumference
Correct Answer

Option B is the correct answer.

Detailed Explanation

Page 12, step 3, states: 'Bisect OP'. The midpoint of OP then becomes the center for drawing the semi-circle that helps locate the tangent point A.

Hint

Review 'To Draw a Tangent from Any Point P to a Circle' on page 12, focusing on step 3.

Question Info