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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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
3

A triangular prism 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 either base of the prism
B
a triangle that does not necessarily have the same dimensions as either base of the prism
C
a parallelogram that is not a rectangle
D
a rectangle
4

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

Question illustration
A
8 centimeters by 18 centimeters
B
8 centimeters by 10 centimeters
C
10 centimeters by 18 centimeters
D
4 centimeters by 18 centimeters
5

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
6

The square prism has a base length of 2 ft. Which describes the cross section of the prism that is perpendicular to the base?

Question illustration
A
a rectangle with two 12-ft sides and two 2-ft sides
B
a rectangle with two 12-ft sides and two sides that are shorter than 2 ft
C
a nonrectangular parallelogram with two 12-ft sides and two 2-ft sides
D
a nonrectangular parallelogram with two 12-ft sides and two sides that are longer than 2 ft
7

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
8

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
9

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
10

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.

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