Question

points c, d and g lie on plane x. points e and f lie on plane y. which statements are true? select three options. there are exactly two planes that contain points a, b, and f. there is exactly one plane that contains points e, f, and b. the line that can be drawn through points c and g would lie in plane x. the line that can be drawn through points e and f would lie in plane y. the only points that can lie on plane y are points e and f.

Explanation:

Step1: Analyze each option

• Option A: There are infinitely many planes that contain points A, B, and F (not exactly two), so this is false.
• Option B: There are infinitely many planes that contain points E, F, and B (not exactly one), so this is false.
• Option C: Since points C and G lie on plane x, the line through them lies on plane x. This is true.
• Option D: Since points E and F lie on plane y, the line through them lies on plane y. This is true.
• Option E: There are other points (not just E and F) that can lie on plane y (for example, points on the intersection line of plane x and y etc.), so this is false.

Answer:

C. The line that can be drawn through points C and G would lie in plane x, D. The line that can be drawn through points E and F would lie in plane y