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Use the Right Hexagonal Prism in the picture to answer the questions. Drag the correct response into the boxes. Some answers may be used more than once. A E G H K Which option best represents a base of the prism? Which options describe 2 congruent lateral faces? and Which option is a segment parallel to DJ ? Which option is a segment that is skew to DJ ? Which option is a face that is perpendicular to DJ ?

Use the Right Hexagonal Prism in the picture to answer the questions. Drag the correct response into the boxes. Some answers may be used more than once. A E G H K Which option best represents a base of the prism? Which options describe 2 congruent lateral faces? and Which option is a segment parallel to DJ ? Which option is a segment that is skew to DJ ? Which option is a face that is perpendicular to DJ ?

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
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### Understanding Right Hexagonal Prisms The following diagram illustrates a right hexagonal prism. #### Diagram Breakdown: - **Vertices**: Labelled as \(A, B, C, D, E, F, G, H, I, J, K, L\) - **Edges**: Connecting vertices such as \(AB, BC, CD, DE, EF, FA\) for the top hexagon and \(GH, HI, IJ, JK, KL, LG\) for the bottom hexagon. The vertical edges are represented by \(AG, BH, CI, DJ, EK, FL\). #### Questions and Answers: 1. **Which option best represents a base of the prism?** - The two bases of the prism are hexagons. One such hexagon is \(ABCDEF\). 2. **Which options describe 2 congruent lateral faces?** - A lateral face is a rectangular face. Two examples of congruent lateral faces are \(ABGH\) and \(BCHI\). 3. **Which option is a segment parallel to \(DJ\)?** - A segment parallel to \(DJ\) is \(EK\). Both segments are vertical edges of the prism. 4. **Which option is a segment that is skew to \(DJ\)?** - Skew segments are neither parallel nor intersecting. An example of a skew segment to \(DJ\) is \(AB\). 5. **Which option is a face perpendicular to \(DJ\)?** - A face that is perpendicular to \(DJ\) is \(BCIH\), which is the rectangular face adjacent to \(DJ\). This knowledge of right hexagonal prisms can enhance understanding of three-dimensional geometric shapes and their properties.
Transcribed Image Text:### Understanding Right Hexagonal Prisms The following diagram illustrates a right hexagonal prism. #### Diagram Breakdown: - **Vertices**: Labelled as \(A, B, C, D, E, F, G, H, I, J, K, L\) - **Edges**: Connecting vertices such as \(AB, BC, CD, DE, EF, FA\) for the top hexagon and \(GH, HI, IJ, JK, KL, LG\) for the bottom hexagon. The vertical edges are represented by \(AG, BH, CI, DJ, EK, FL\). #### Questions and Answers: 1. **Which option best represents a base of the prism?** - The two bases of the prism are hexagons. One such hexagon is \(ABCDEF\). 2. **Which options describe 2 congruent lateral faces?** - A lateral face is a rectangular face. Two examples of congruent lateral faces are \(ABGH\) and \(BCHI\). 3. **Which option is a segment parallel to \(DJ\)?** - A segment parallel to \(DJ\) is \(EK\). Both segments are vertical edges of the prism. 4. **Which option is a segment that is skew to \(DJ\)?** - Skew segments are neither parallel nor intersecting. An example of a skew segment to \(DJ\) is \(AB\). 5. **Which option is a face perpendicular to \(DJ\)?** - A face that is perpendicular to \(DJ\) is \(BCIH\), which is the rectangular face adjacent to \(DJ\). This knowledge of right hexagonal prisms can enhance understanding of three-dimensional geometric shapes and their properties.
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