Question

Suong is constructing the inscribed circle for △RST . She has already constructed the angle bisector of angle T.

Which construction is a correct next step for Suong?


A. Construct the angle bisector of angle R.

B. Construct the line that passes through the intersection of the angle bisector and RS¯¯¯¯¯ such that the line is perpendicular to TS¯¯¯¯¯ .

C. Construct the perpendicular bisector of TS¯¯¯¯¯ .

D. With the compass open to the width of RS¯¯ , draw a circle centered at point T.

Answer 1

The answer would be A. Construct the angle bisector of angle R.

That is because you have to create the angle bisectors and find the in-center to create the circle inscribed in the triangle.

Hope this helps :)

Answer 2

A. Construct the angle bisector of angle R.

Explanation:

When we are inscribing a circle in a triangle, we do the following steps:

Step 1. Construct an angle bisector by bisecting one of the angles.

Step 2. Construct another bisector by bisecting the another angle.

Step 3. The bisectors cross from a point within the triangle. This point is called in-center or the center of the circle.

Step 4. Now we will construct a perpendicular from the center point to one of the sides of the triangle.

Step 5. The circle is drawn by placing the compass on the center point.

So, the next step as per the given question will be - Construct the angle bisector of angle R.