Given the triangle with vertices at (1, 4), (4, 3) and (2, -1), sketch the image after the given transformation is applied. Based on your graph, identify the transformation as a translation, reflection, rotation, or other transformation, and state whether the is an isometry. transformation a. (x, y) → (x, y) - b. (x, y) → (y, −x) c. (x, y) (2x, 2y)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given the triangle with vertices at (1, 4), (4, 3)
and (2, -1), sketch the image after the given
transformation is applied. Based on your
graph, identify the transformation as a
translation, reflection, rotation, or other
transformation, and state whether the
is an isometry.
transformation
a. (x, y) →
b. (x, y) →
c. (x, y) →
d. (x, y) →
e. (x, y) →
f. (x, y) →
(x, −y)
(y, −x)
(2x, 2y)
(x +4, −y)
(5 — x, y)
(x + 4, y − 3)
Transcribed Image Text:Given the triangle with vertices at (1, 4), (4, 3) and (2, -1), sketch the image after the given transformation is applied. Based on your graph, identify the transformation as a translation, reflection, rotation, or other transformation, and state whether the is an isometry. transformation a. (x, y) → b. (x, y) → c. (x, y) → d. (x, y) → e. (x, y) → f. (x, y) → (x, −y) (y, −x) (2x, 2y) (x +4, −y) (5 — x, y) (x + 4, y − 3)
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