Q. 72 Computer Graphics Refer to Probl... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 9: Q. 72 (page 604)

Computer Graphics Refer to Problem 71. The points $(- 3, 0), (- 1, - 2), (3, 1)$ and $(1, 3)$ are the vertices of a parallelogram ABCD.
(a) Find the new vertices of a parallelogram role="math" localid="1646829357237" $A^{'} B^{'} C^{'} D^{'}$ if it is translated by $v = <3, - 2>$ .
(b) Find the new vertices of a parallelogram $A^{'} B^{'} C^{'} D^{'}$ if it is translated by $- \frac{1}{2} v$ .

Short Answer

Expert verified

$(a) \begin{array}{ll} A^{鈥�} = <0, - 2> 鈥呪赌呪赌呪赌�, B^{鈥�} = <2, - 4> 鈥� \\ C^{鈥�} = <6, - 1> 鈥呪赌呪赌呪赌�, D^{鈥�} = <4, 1> 鈥� \end{array} (b) \begin{array}{ll} A^{鈥�} = <鈭� \frac{9}{2}, 1> 鈥呪赌呪赌呪赌�, B^{鈥�} = <鈭� \frac{5}{2}, 鈭� 1> \\ C^{鈥�} = <\frac{3}{2}, 2> 鈥呪赌呪赌呪赌�, D^{鈥�} = <鈭� \frac{1}{2}, 4> \end{array}$

Step by step solution

Part (a) Step 1. Translation by V

$A^{鈥�} = A + V = 鉄� 鈭� 3, 0 鉄� + 鉄� 3, 鈭� 2 鉄� = 鉄� 0, 鈭� 2 鉄� B^{鈥�} = B + V = 鉄� 鈭� 1, 鈭� 2 鉄� + 鉄� 3, 鈭� 2 鉄� = 鉄� 2, 鈭� 4 鉄� C^{鈥�} = C + V = 鉄� 3, 1 鉄� + 鉄� 3, 鈭� 2 鉄� = 鉄� 6, 鈭� 1 鉄� D^{鈥�} = D + V = 鉄� 1, 3 鉄� + 鉄� 3, 鈭� 2 鉄� = 鉄� 4, 1 鉄�$

Part (b) Step 1. Translation by -12V

$A^{鈥�} = A + v^{鈥�} = 鉄� 鈭� 3, 0 鉄� + <鈭� \frac{3}{2}, 1> = <鈭� \frac{9}{2}, 1> B^{鈥�} = B + v^{鈥�} = 鉄� 鈭� 1, 鈭� 2 鉄� + <鈭� \frac{3}{2}, 1> = <鈭� \frac{5}{2}, 鈭� 1> C^{鈥�} = C + v^{鈥�} = 鉄� 3, 1 鉄� + <鈭� \frac{3}{2}, 1> = <\frac{3}{2}, 2> D^{鈥�} = D + v^{鈥�} = 鉄� 1, 3 鉄� + <鈭� \frac{3}{2}, 1> = <鈭� \frac{1}{2}, 4>$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Short Answer

Step by step solution

Part (a) Step 1. Translation by V

Part (b) Step 1. Translation by -12V

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Pure Maths

Statistics

Geometry

Mechanics Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.