Question

Plane X contains point C. Plane Y contains points A and

B.

How many planes exist that pass through points A, B,

and C?

оо

х

O 1

O2

O 3

Y

A

B

С

Answer 1

There is only one unique plane that can pass through three non-collinear points A, B, and C.

Step-by-step explanation:

The student is asking about the number of planes that can be defined by three non-collinear points A, B, and C. In Euclidean geometry, a plane is uniquely determined by three non-collinear points. Therefore, if point C is not on the same line as points A and B, only one unique plane can pass through all three points, A, B, and C. This is a foundational concept in geometry that applies regardless of the orientations or the positions of the points, as long as they are not all in a single straight line.