10. Look at the following process of solving problem! Question A Triangle ABC with A(-2,3), B(2,3), and C(0,-4) dilatated by scale 4 and center point (0,0) become A'B'C'. Determine the ratio of area of triangle before and after dilatated!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
icon
Concept explainers
Topic Video
Question
Please helpp me!! I need, it's about dilatation or dilatated Based the process of solving problem above, it has made saveral mistakes, Analyze the process is not correct and re-construct the process above!
10.
Look at the following process of solving problem!
Question
Answer
A Triangle ABC with A(-2,3), B(2,3), and
A Triangle ABC with A(-2,3), B(2,3), and
C(0,-4) dilatated by scale 4 and center point
C(0,-4).
|(0,0) become A'B'C'. Determine the ratio of Area of triangle before dilatated.
area of triangle before and after dilatated!
4.
AL-2,3)
B(2,3)
2
-2
+2
Clo.-4)
bxh
Area of triangle ABC=
2
4x1
4
Area of triangle after dilatated.
Dilatated by scale 4 and center point (0,0)
A(-2,3)→ A'(-8,6)
B(2,3)→ B'(8,12)
| СО,-4) - с'(0, -16)
15
A-8, 12)
B(8, 12)
10
10
16
E-(0.-16)
Area of triangle A'B'C'= bxh
2
16x3
%3D
= 24
2
Area of triangle after dilatated
= 4 = 12
%3D
Area of triangle before dilatated
2
1
So, the ratio of area of triangle before and
after dilatated is 12:1.
Based the process of solving problem above, it has made saveral mistakes, Analyze the process is not
correct and re-construct the process above!
Transcribed Image Text:10. Look at the following process of solving problem! Question Answer A Triangle ABC with A(-2,3), B(2,3), and A Triangle ABC with A(-2,3), B(2,3), and C(0,-4) dilatated by scale 4 and center point C(0,-4). |(0,0) become A'B'C'. Determine the ratio of Area of triangle before dilatated. area of triangle before and after dilatated! 4. AL-2,3) B(2,3) 2 -2 +2 Clo.-4) bxh Area of triangle ABC= 2 4x1 4 Area of triangle after dilatated. Dilatated by scale 4 and center point (0,0) A(-2,3)→ A'(-8,6) B(2,3)→ B'(8,12) | СО,-4) - с'(0, -16) 15 A-8, 12) B(8, 12) 10 10 16 E-(0.-16) Area of triangle A'B'C'= bxh 2 16x3 %3D = 24 2 Area of triangle after dilatated = 4 = 12 %3D Area of triangle before dilatated 2 1 So, the ratio of area of triangle before and after dilatated is 12:1. Based the process of solving problem above, it has made saveral mistakes, Analyze the process is not correct and re-construct the process above!
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,