2000006503 Level: AA plane and a point are given. The point is not lying in the plane. How many lines perpendicular to this plane pass through the given point?120infinitely many
2000006504 Level: AA plane and a point are given. The point is not lying in the plane. How many lines parallel to this plane pass through the given point?infinitely many021
1003059501 Level: BLet α and β be planes sharing three different points A, B, and C. The points do not lie on one line. What is the mutual position of these two planes?identical planesparallel planesintersecting planes
1103059401 Level: BLet 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 linesdistinct parallel linesintersecting lines
1103059402 Level: BLet 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 linesdistinct parallel linesskew lines
1103059403 Level: BLet 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 linesdistinct parallel linesintersecting lines
1103059404 Level: BLet 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 linesskew linesintersecting lines
1103059405 Level: BLet 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.
1103059406 Level: BLet 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.
1103059407 Level: BLet 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 CVM?The line intersects the plane.The line lies on the plane.They share no common point.