Let C = (-2, -1) be the center of dilation. Let X = (1, 1), Y = (3, 0) and Z = (2,5). Our dilation factor is k = 3. (a) Find the following vectors CX, CY, and CZ. (b) Apply the dilation factor to find vectors CK', CY', and CZ'. (c) Find the points X'. Y'. Z’. (d) Show that XYZ ~ X'Y'Z'.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
icon
Related questions
Question
100%
  1. Let C = (-2, -1) be the center of dilation. Let X = (1, 1), Y = (3, 0) and Z = (2,5). Our dilation factor is k = 3.

(a) Find the following vectors CX, CY, and CZ.

(b) Apply the dilation factor to find vectors CK', CY', and CZ'.

(c) Find the points X'. Y'. Z’.

(d) Show that XYZ ~ X'Y'Z'.

Expert Solution
steps

Step by step

Solved in 6 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning