Cross Section Assessment Questions

A plane intersects a square pyramid through the vertex, perpendicular to its base. What is the shape of the cross section?

• square

• triangle

• rhombus

A plane slices a right rectangular prism on a diagonal through two of the vertices of the prism. What is the shape of the cross section?

• triangle

• rhombus

• rectangle

• trapezoid

A right rectangular prism is sliced by a plane. Which CANNOT be the shape of the cross section formed by the slice?

• a parallelogram

• an octagon

• a trapezoid

• a triangle

A plane slices through a prism parallel to the bases to create a cross section shaped like a right triangle. If the prism stays in the same location, how could the plane be moved to create a cross section shaped like a rectangle?

• Move the plane so it slices through the prism perpendicular to the bases

• Move the plane so it slices through the prism intersecting the bases at 45° angles

• Move the plane up so it slices through the prism at a higher height still parallel to the base

• Move the plane down so it slices through the prism at a lower height still parallel to the base

A plane intersects a square pyramid perpendicular to its base but not through a vertex. The plane forms a cross section. What is the shape of the cross section?

• Trapezoid

• Triangle

• Square

• Rectangle

A right rectangular prism with a square base is cut parallel to its base. The shape exposed is a cross section. Which shape best describes this cross section?

• triangle

• trapezoid

• square

• rectangle, that is not a square

Where do the planes ABFE and EFGH intersect?

• Point E

• Point F

• the line containing AB

• the line containing EF

A plane intersects a rectangular pyramid parallel to the base. The plane forms a cross-section. What is the shape of the cross-section?

• rectangle

• rhombus

• trapezoid

• triangle

Which statement is true about all possible cross sections formed by a plane slicing through a rectangular prism either parallel or perpendicular to its base?

• All cross sections are only squares.

• All cross sections are only triangles.

• All cross sections are only rectangles.

• All cross sections are either squares or triangles.

The square pyramid below is intersected by plane A. The plane forms a cross section. What is the shape of the cross section created by plane A?

• Rhombus

• Square

• Trapezoid

• Triangle