Question

1. in the diagram, which center describes the point equidistant to the stove, the refrigerator, and the sink?

stove
sink
refrigerator
the incenter
the circumcenter
the centroid
the orthocenter

Explanation:

Step1: Recall triangle - center properties

The in - center is equidistant from the sides of a triangle. The circum - center is equidistant from the vertices of a triangle. The centroid is the point of intersection of the medians. The ortho - center is the point of intersection of the altitudes.

Step2: Identify the required point

We want a point equidistant from the three vertices (stove, refrigerator, sink which are represented as vertices of a triangle). This is the property of the circum - center.

Answer:

the circumcenter