Cross Sections Answers

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Which correctly describes a cross section of the cube below? Check all that apply.

Question illustration
A
A cross section parallel to the base is a square measuring 4 cm by 4 cm.
B
A cross section parallel to the base is a rectangle measuring 4 cm by greater than 4 cm.
C
A cross section perpendicular to the base through the midpoints of opposite sides is a rectangle measuring 2 cm by 4 cm.
D
A cross section perpendicular to the base through the midpoints of opposite sides is a square measuring 4 cm by 4 cm.
E
A cross section that passes through the entire bottom front edge and the entire top back edge is a rectangle measuring 4 cm by greater than 4 cm.
3

What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases?

Question illustration
A
a parallelogram that is not a rectangle
B
a rectangle
C
a triangle that must have the same dimensions as the bases
D
a triangle that may not have the same dimensions as the bases
6

A triangular prism was sliced perpendicular to its bases and through a vertex. What is the shape of the cross section shown in the figure?

Question illustration
A
a parallelogram that is not a rectangle
B
a rectangle
C
a triangle that does not necessarily have the same dimensions as either base of the prism
D
a triangle that has the same dimensions as either base of the prism
7

Which always yields a cross section that is the same shape and size as the base of the figure?

A
a triangular pyramid when sliced parallel to its base
B
a triangular pyramid when sliced perpendicular to its base
C
a triangular prism when sliced parallel to its base
D
a triangular prism when sliced perpendicular to its base
8

Which describes the cross section of a cube that passes through the vertices A, B, C, and D shown below?

Question illustration
A
a rectangle that is not a square
B
a square
C
a parallelogram that is not a rectangle or a square
D
a trapezoid
9

Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inches? Select three options..

Question illustration
A
A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches.
B
A cross section parallel to the base is a rectangle measuring 15 inches by 6 inches.
C
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
D
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 4 inches by 15 inches.
E
A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.
10

Which describes the cross section of the rectangular prism that passes through vertices A, B, C, and D?

Question illustration
A
a rectangle with two 10-cm sides and two 6-cm sides
B
a rectangle with two 10-cm sides and two sides that are longer than 6 cm
C
a nonrectangular parallelogram with two 10-cm sides and two 6-cm sides
D
a nonrectangular parallelogram with two 10-cm sides and two sides that are longer than 6 cm

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Cross Sections Answers — Math 7 B M12 2526 S2