Ricardo is constructing the inscribed circle for △ABC . He has already used his compass and straightedge to complete the part of the construction shown in the figure.

Which construction could be his next step?

Construct the angle bisector of ∠SBQ .

Construct the angle bisector of ∠A .

Construct the line through points A and R.

Construct the perpendicular to BC⎯⎯⎯⎯⎯ through point R.

Given that Ricardo is constructing the inscribed circle for △ABC and he has already used his compass and straightedge to complete the part of the construction shown in the figure. For him to complete the construction he has to bisect at least two angle and he has only bisected one angle, Thus the correct answer among the choice given will be:

Construct the angle bisector of ∠A .

Answer Link

ColinJacobus ColinJacobus · Answer 2 · 2019-02-12T06:34:19+01:00

Answer: The answer is (b) Construct the angle bisector of ∠A .

Step-by-step explanation: Given that Ricardo is constructing the inscribed circle for △ABC and he has already used his compass and straightedge to complete the part of the construction shown in the figure.

We are to find the next step that Ricardo should take among the given options to complete the construction process.

Since he has already constructed the angle bisector of ∠B, so his next step should be to draw the angle bisector of either ∠A or ∠C. Since the second one is not in the options, so he should construct the angle bisector of ∠A.

Thus, (b) is the correct option.