Question

Look at the figure. What is the next step in this construction of a line parallel to AC passing through point B.

A. use a protractor to measure ∠BAC

B. Draw a line through point B that intersects arc 2.

C. Measure the distance between AB and AC along arc 1 with a ruler.

D. Measure the distance between AB and AC along arc 1 with a compass.

Answer 1

B. Draw a line through point B that intersects arc 2

Answer 2

Option A is correct

Explanation:

In the given figure to draw the parallel line to AC passing through B we have to tell the next step.

As lines AC and AB given and we know if lines are parallel then alternate angles are equal.

Hence, if line through B parallel to AC drawn then alternate angles ∠BAC and ∠ABD equal.

∴ To draw parallel lines our next step is to use a protractor to measure ∠BAC so that the same angle through B is drawn results in equal alternate interior angles.

Hence, Option A is correct.