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1. |
Given the coordinates of the vertices of a triangular prism, represent them as a vertex matrix. A(1, 2, -3) B(0, 1, -3) C(-1, 4, -3) D(-1, 4, 5) E(1, 2, 5) F(0, 1, 5) |
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A. |

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B. |

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C. |

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D. |

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Hint |
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2. |
A transformation in three-dimensional space is represented by . Which matrix represents this transformation? |
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C. |
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D. |
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Hint |
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3. |
Given the coordinates of a rectangular prism, represent them as a vertex matrix: A(1, 5, 3), B (1, 5, -1), C (1, -3, -1), D (1, -3, 3), E (-4, 5, 3), F (-4, 5, -1), G (-4, -3, -1), H (-4, -3, 3) |
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A. |

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B. |

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C. |

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D. |

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Hint |
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4. |
Which of the following matrices represents a dilation by a scale factor of 2? |
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Hint |
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5. |
Given what you know about matrix multiplication, make a conjecture about what kind of transformation in 3-dimensional space is represented by the matrix . |
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A. |
The transformation is a reflection over the yz-plane, followed by a transformation over the xy-plane. |
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B. |
The transformation is a reflection over the xz-plane. |
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C. |
The transformation is a dilation by a scale factor of -1. |
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D. |
The transformation is a translation 1 unit along the y-axis. |
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Hint |
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