Question

Point D is the center of the inscribed circle of ABC. Which step can you use to draw the inscribed circle of ABC?

A.
Draw arcs of equal lengths intersecting , , and in two points each.
B.
Draw the perpendicular bisectors of , , and that pass through point D.
C.
Label a point E on and draw a line joining E with D.
D.
Draw a line through D that is perpendicular to one of the sides, , , or .
E.
Draw one arc each on and , and find their point of intersection.

Answer 1

The step which is used is to construct the altitude from the incentre to a side of triangle and label the intersection point.

Explanation:

Given point d is is the center of inscribed circle.

To construct the inscribed circle of abc we have several steps of construction

Step 1: First step is to construct the incenter with the help of angle bisectors of two base vertices.

Here given d center of inscribed circle that means the incenter given.

Step 2: After incenter, draw a line perpendicular to one side of triangle that passes through incenter and the label the point of intersection.

This is very important step because after labelling measure the radius(same as the distance between the incenter and labelled point) and draw the circle.

Hence, after incenter The next step is to construct the altitude from the incentre to a side of triangle and label the intersection point.

Step 2 is used draw inscribed circle when incenter already given.