AnswersMath 7 B M12 2526 S2Cross Sections

Cross Sections Answers

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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
2
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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
3

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

Question illustration
A
a rectangle
B
a square
C
a kite
D
a trapezoid
4

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.
5

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

Question illustration
A
a triangle with three equal sides, all measuring 8 inches
B
a triangle with three equal sides, all longer than 12 inches
C
a triangle with only two equal sides; one side measures 8 inches, and two sides measure 12 inches
D
a triangle with only two equal sides; one side is longer than 8 inches and two sides of equal length that are longer than 12 inches
6

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

Question illustration
A
a rectangle that is not a square
B
a square
C
a triangle with three equal sides
D
a triangle with only two equal sides
7

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
8

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
9

The rectangular prism is to be sliced perpendicular to the shaded face and is to pass through point A, perpendicular to the front face. What will the dimensions of the rectangular cross section be?

Question illustration
A
4 inches by 6 inches
B
4 inches by 3 inches
C
3 inches by 6 inches
D
2 inches by 6 inches
10

A rectangular pyramid was sliced parallel to its base. What is the shape of the cross section shown in the figure?

Question illustration
A
a triangle that has the same dimensions as one of the sides of the pyramid
B
a triangle that does not necessarily have the same dimensions as one of the sides of the pyramid
C
a parallelogram that is not a rectangle
D
a rectangle
11

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Cross Sections Answers — Math 7 B M12 2526 S2