Question

Choose the correct statemet(s) about the below construction of ${60}^{\circ }$ using ruler and compass.

• A. AB = AC
• B. AB = BC
• C. BC = AC
• D. AB > AC

Answer 1

Answer: (A), (B), (C)

The correct options are
A

AB = AC

B

AB = BC

C

BC = AC

For constructing an angle of 60${}^{\circ }$, we draw an arc of arbitrary radius from A cutting the base of the angle at C. From C we draw another arc of the same radius cutting the previous arc at B. Since, B and C are on arcs of same radii centred at A, AB = AC.

Also, B is on arc centred at C having the same radius, so, BC = AC. So, AB = BC = AC.