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The right hexagonal prism shown to the right has regular hexagons as bases. D' a. Name all the pairs of parallel lateral faces. (Faces are parallel if the planes containing the faces are parallel.) A' B' b. What is the measure of the dihedral angle between two adjacent E D lateral faces? Why? F A a. Choose the correct answer below. O A. The following faces are parallel: quadrilaterals AFF'A' and EDD'E'; O B. The following faces are parallel: quadrilaterals AFF'A' and BAA'B'; quadrilaterals CBB'C' and DCC'D'; quadrilaterals EDD'E' and FEE'F' quadrilaterals BAA'B' and CBB'C'; quadrilaterals DCC'D' and FEE'F' C. The following faces are parallel: quadrilaterals AFF'A' and FEE'F'; quadrilaterals BAA'B' and EDD'E'; quadrilaterals CBB'C' and DCC'D' O D. The following faces are parallel: quadrilaterals AFF'A' and DCC'D': quadrilaterals BAA'B' and EDD'E'; quadrilaterals CBB'C' and FEE'F' b. Choose the correct answer below and fill in the answer box to complete your choice. (Type a whole number.) O A. The measure of the angle is because this is the measure of the total degrees of the hexagonal base divided by the number of faces, 8. O B. The measure of the angle is because two adjacent lateral faces form perpendicular planes and this is the measure of perpendicular planes. C. The measure of the angle is because this is the measure of an interior angle of a hexagon, which is where the two planes representing the lateral faces intersect. D. The measure of the angle is because this is the measure for all dihedral angles.

The right hexagonal prism shown to the right has regular hexagons as bases. D' a. Name all the pairs of parallel lateral faces. (Faces are parallel if the planes containing the faces are parallel.) A' B' b. What is the measure of the dihedral angle between two adjacent E D lateral faces? Why? F A a. Choose the correct answer below. O A. The following faces are parallel: quadrilaterals AFF'A' and EDD'E'; O B. The following faces are parallel: quadrilaterals AFF'A' and BAA'B'; quadrilaterals CBB'C' and DCC'D'; quadrilaterals EDD'E' and FEE'F' quadrilaterals BAA'B' and CBB'C'; quadrilaterals DCC'D' and FEE'F' C. The following faces are parallel: quadrilaterals AFF'A' and FEE'F'; quadrilaterals BAA'B' and EDD'E'; quadrilaterals CBB'C' and DCC'D' O D. The following faces are parallel: quadrilaterals AFF'A' and DCC'D': quadrilaterals BAA'B' and EDD'E'; quadrilaterals CBB'C' and FEE'F' b. Choose the correct answer below and fill in the answer box to complete your choice. (Type a whole number.) O A. The measure of the angle is because this is the measure of the total degrees of the hexagonal base divided by the number of faces, 8. O B. The measure of the angle is because two adjacent lateral faces form perpendicular planes and this is the measure of perpendicular planes. C. The measure of the angle is because this is the measure of an interior angle of a hexagon, which is where the two planes representing the lateral faces intersect. D. The measure of the angle is because this is the measure for all dihedral angles.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The right hexagonal prism shown to the right has regular hexagons E' D' as bases. F a. Name all the pairs of parallel lateral faces. (Faces are parallel if the planes containing the faces are parallel.) A B' b. What is the measure of the dihedral angle between two adjacent lateral faces? Why? a. Choose the correct answer below. A. The following faces are parallel: quadrilaterals AFF'A' and EDD'E'; quadrilaterals BAA'B' and CBB'C'; quadrilaterals DCC'D' and FEE'F' B. The following faces are parallel: quadrilaterals AFF'A' and BAA'B'; quadrilaterals CBB'C' and DCC'D'; quadrilaterals EDD'E' and FEE'F' C. The following faces are parallel: quadrilaterals AFF'A' and FEE'F'; quadrilaterals BAA'B' and EDD'E'; quadrilaterals CBB'C' and DCC'D' O D. The following faces are parallel: quadrilaterals AFF'A' and DCC'D'; quadrilaterals BAA'B' and EDD'E'; quadrilaterals CBB'C' and FEE'F' b. Choose the correct answer below and fill in the answer box to complete your choice. (Type a whole number.) O A. The measure of the angle is because this is the measure of the total degrees of the hexagonal base divided by the number of faces, 8. B. The measure of the angle is because two adjacent lateral faces form perpendicular planes and this is the measure of perpendicular planes. C. The measure of the angle is because this is the measure of an interior angle of a hexagon, which is where the two planes representing the lateral faces intersect. D. The measure of the angle is because this is the measure for all dihedral angles. ET
Transcribed Image Text:The right hexagonal prism shown to the right has regular hexagons E' D' as bases. F a. Name all the pairs of parallel lateral faces. (Faces are parallel if the planes containing the faces are parallel.) A B' b. What is the measure of the dihedral angle between two adjacent lateral faces? Why? a. Choose the correct answer below. A. The following faces are parallel: quadrilaterals AFF'A' and EDD'E'; quadrilaterals BAA'B' and CBB'C'; quadrilaterals DCC'D' and FEE'F' B. The following faces are parallel: quadrilaterals AFF'A' and BAA'B'; quadrilaterals CBB'C' and DCC'D'; quadrilaterals EDD'E' and FEE'F' C. The following faces are parallel: quadrilaterals AFF'A' and FEE'F'; quadrilaterals BAA'B' and EDD'E'; quadrilaterals CBB'C' and DCC'D' O D. The following faces are parallel: quadrilaterals AFF'A' and DCC'D'; quadrilaterals BAA'B' and EDD'E'; quadrilaterals CBB'C' and FEE'F' b. Choose the correct answer below and fill in the answer box to complete your choice. (Type a whole number.) O A. The measure of the angle is because this is the measure of the total degrees of the hexagonal base divided by the number of faces, 8. B. The measure of the angle is because two adjacent lateral faces form perpendicular planes and this is the measure of perpendicular planes. C. The measure of the angle is because this is the measure of an interior angle of a hexagon, which is where the two planes representing the lateral faces intersect. D. The measure of the angle is because this is the measure for all dihedral angles. ET
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