Question

Using ruler and compasses only, draw a right angle.

Answer 1

We have to draw a right angle using ruler and compasses only

We use the following algorithm for the construction

Steps of construction

STEP1: Draw a ray BC.

STEP2: With B as a centre, and taking convenient radius, draw an arc, intersecting the ray BC at point N.

STEP3: With N as a centre, and taking the same radius, draw an arc cutting the previous arc at M.

STEP4: With M as a centre, and the same radius, draw an arc cutting the arc drawn in STEP2 at L.

STEP5: With M and L as centre and the same radius draw arcs intersecting at a point say A.

STEP6: Draw the ray BA.

ABC is a right angle.