1103059408
Level:
A
Let \( ABCDEFGH \) be a cube. See the picture. What is the mutual position of the line \( BF \) and the plane \( EGC \)?
They share no common point.
The line lies on the plane.
The line intersects the plane.
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.
1103059404
Level:
A
Let \( ABCDEFGH \) be a cube and \( X \), \( Z \) the midpoints of the edges \( FB \) and \( FG \). See the picture. What is the mutual position of lines \( XZ \) and \( AH \)?
distinct parallel lines
skew lines
intersecting lines
1103059403
Level:
A
Let \( ABCDEFGH \) be a cube and \( N \) the midpoint of the edge \( EF \). See the picture. What is the mutual position of lines \( BN \) and \( CF \)?
skew lines
distinct parallel lines
intersecting lines
1103059402
Level:
A
Let \( ABCDEFGH \) be a cube and \( L \), \( M \) the midpoints of the edges \( AB \) and \( BF \). See the picture. What is the mutual position of lines \( DL \) and \( GM \)?
intersecting lines
distinct parallel lines
skew lines
1103059401
Level:
A
Let \( ABCDEFGH \) be a cube and \( M \), \( N \), and \( P \) the midpoints of the edges \( BF \), \( EF \), and \( CD \), as seen in the picture. What is the mutual position of the lines \( DM \) and \( NP \)?
skew lines
distinct parallel lines
intersecting lines
1103055002
Level:
A
\( ABCDEFGH \) is a regular octagon. Express the measure of the angle \( SAB \), where \( S \) is the midpoint of \( AE \). (See the picture.)
\( 67.5^{\circ} \)
\( 22.5^{\circ} \)
\( 90^{\circ} \)
\( 45^{\circ} \)
1103030210
Level:
A
Let there be two distinct parallel lines \( a \) and \( b \). What do we call the pair of in the picture indicated angles \( \alpha \) and \( \beta \) which are defined by the transversal \( p \)?
Alternate angles
Corresponding angles
Adjacent angles
Vertical angles