Lines and planes: intersecting, perpendicular, parallel

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 \( KLM \)

1003030207

Level: 
A
There are two distinct parallel lines on one plane: \( p =\,\, \leftrightarrow KL \) and \( q=\,\,\leftrightarrow MN \). What is the intersection of the half plane \( KLM \) and the half plane \( MNL \)? (Please note that a hypothetical half plane \( XYZ \) is bounded by a line \( XY \) and contains a point \( Z \).)
A plane zone limited by the lines \( p \) and \( q \)
The half plane \( KLM \)
The convex angle \( LKM \)
The quadrilateral \( KLMN \)
The triangle \( MNL \)

1003030308

Level: 
A
Let \( k_1 \) and \( k_2 \) be circles with the centres \( S_1 \), \( S_2 \), and the radii of lengths \( 5\,\mathrm{cm} \) and \( 1\,\mathrm{cm} \) consecutively. Given \(S_1=S_2\), what is the mutual position of these circles?
The circles \( k_1 \) and \( k_2 \) are concentric.
The circles \( k_1 \) and \( k_2 \) intersect.
The circle \( k_1 \) lies inside the circle \( k_2 \).
The circle \( k_2 \) lies outside the circle \( k_1 \).
The circles \( k_1 \) and \( k_2 \) are internally tangent.