Question

This drawing would be a step in finding which point of concurrency in a triangle?

Answer 1

This drawing would be a step in finding the following point of concurrency in a triangle: A. circumcenter.

In Mathematics and Euclidean Geometry, a circumcenter is the point where perpendicular bisectors (right-angled lines to the midpoint) of the sides of a triangle meet together or intersect.

The point of concurrency of the angle bisectors is referred to as the incenter of a triangle. Additionally, the incenter is equidistant from the three sides of a triangle. This implies that the incenter is the center of the circle that can be inscribed within the triangle and touches all three sides of the triangle.

This ultimately implies that, the circumcenter of any triangle is always equidistant from all the rays (vertices) of that triangle.

Answer 2

B. Orthocenter

Explanation:

The orthocenter of a triangle is the point of intersection of the three altitudes (the perpendicular from a vertex to the side facing the vertex) of a triangle

The steps used in constructing the orthocenter includes the steps for drawing of the perpendicular to the sides of the triangle from a point which is the vertex opposite the side of the triangle

Therefore, in the given diagram, a perpendicular to the side KS is drawn from the (vertex) point W, by drawing an arc with center at W that intersects the side KS at two points. Rom the points of intersection of the arc drawn from W intersects KS, with the compass, two arcs are drawn to intersect at a point from which a line drawn to W, is perpendicular to KS

Therefore;

The correct option is B. orthocenter