Geometry

The correct answers are:

B. and  are opposite rays

C.Points B, C, and X are coplanar

1. Analyze the collinearity of points:

Collinear points: Collinear points lie on the same straight - line. Points , , and do not lie on the same straight - line. Point is on one line and points and are on another line. So, the statement “Points , and are collinear” is false.

2. Analyze the opposite rays:

Opposite rays: Opposite rays are two rays that have the same endpoint and extend in opposite directions. For and , they have the same endpoint and extend in opposite directions along the same line. So, the statement “ and are opposite rays” is true.

3. Analyze the coplanarity of points:

Coplanar points: Coplanar points lie on the same plane. Since any three non - collinear points determine a plane, and we can assume that the two intersecting lines

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