Question

George placed a compass on the vertices of the triangle and drew intersecting arcs to find points W, X, Y, and Z as shown. He is going to draw lines through the arcs and find their point of intersection.

The figure shows the triangle JKL in which JK is the perpendicular bisector of JL and WX is the perpendicular bisector of YZ.

What is George trying to find?

A.
one of the three different points that are equidistant from the three vertices of the triangle
B.
the only point that is equidistant from the three vertices of the triangle
C.
one of the three different points that are equidistant from the three sides of the triangle
D.
the only point that is equidistant from the three sides of the triangle

Answer 1

Answer:
George is trying to find one of the three different points that are equidistant from the three sides of the triangle. So the answer is option C.

Step-by-step explanation:
George is using a compass to find points that are equidistant from the three sides of the triangle. These points are called the circumcenters of the triangle. By drawing intersecting arcs from the compass placed on the vertices of the triangle, George can determine one of the three different points that are equidistant from the three sides of the triangle. This helps in understanding the geometric properties of the triangle.

Answer 2

George is trying to find the only point that is equidistant from the three sides of the triangle.

Option D is the correct answer:

D. The only point that is equidistant from the three sides of the triangle.