Question Detail

GET 102 GEOMETRIC CONSTRUCTION: POLYGONS AND TANGENCY Objective Question

Question

When constructing a curve of radius R tangential to two perpendicular lines (as shown on page 17), how is the center (O) of the tangential curve ultimately located?
Options
A By bisecting the angle between the two lines.
B By drawing arcs of radius R from points B and C (where arcs from A intersect the lines).
Correct Answer
C By drawing lines parallel to the perpendicular lines at a distance R.
D By constructing a 90° angle at the intersection of the two lines.
Correct Answer

Option B is the correct answer.

Detailed Explanation

Page 17, step 2, states: 'With centres B and C, radius R, draw arcs to intersect at O.' Points B and C are found by drawing arcs of radius R from the intersection point A.

Hint

Examine 'To Construct a Curve Tangential to two Perpendicular lines' on page 17, particularly steps 1 and 2.

Question Info