A

1103059407

Level: 
A
Let \( ABCDV \) be a rectangle based-pyramid, \( V \) is its apex and \( K \), \( L \), and \( M \) are the midpoints of its edges \( AB \), \( BC \), and \( AD \) as seen in the picture. What is the mutual position of the line \( KL \) and the plane \( CV\!M \)?
The line intersects the plane.
The line lies on the plane.
They share no common point.

1103059406

Level: 
A
Let \( ABCDEFGH \) be a cube and \( L \), \( N \) the centers of its faces \( BCGF \) and \( ADHE \) consecutively as seen in the picture. What is the mutual position of the line \( LN \) and the plane \( ABG \)?
The line lies on the plane.
The line intersects the plane.
They share no common point.

1103059405

Level: 
A
Let \( ABCDEFGH \) be a cube and \( K \), \( L \) the centers of its faces \( ABCD \) and \( BCGF \) consecutively as seen in the picture. What is the mutual position of a line \( KL \) and a plane \( CDH \)?
They share no common point.
The line intersects the plane.
The line lies on the plane.

1003030209

Level: 
A
Let there be three points \( K \), \( L \), and \( M \) on a plane which do not lie on a single line. What is the intersection of the convex angles \( KLM \) and \( KML \)? (Please note that a hypothetical angle \( XYZ \) is a part of a plane bounded by half lines \( YX \) and \( YZ \).)
The triangle \( KLM \)
The segment \( KL \)
The line \( p =\,\, \leftrightarrow KM \)
The point \( K \)
The axis of the convex angle \( KLM \)