Part B Which best describes the relationship between polygon GHJK and polygon G'H'J'K'?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 22RE
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Question
(b)
Part B
Which best describes the relationship between polygon GHJK and polygon
G'H'J'K'?
They are similar because polygon G'H' J'K' can be obtained from polygon
GHJK by a sequence of transformations.
They are similar because the area of polygon GHJK is the same as area of
в
polygon G'H'J'K'.
They are NOT similar because polygon G'H'J'K' cannot be obtained from
polygon GHJK in a single transformation.
They are NOT similar because the orientation of polygon GHJK is not the
same as the orientation of polygon C'H'J'K'.
Transcribed Image Text:(b) Part B Which best describes the relationship between polygon GHJK and polygon G'H'J'K'? They are similar because polygon G'H' J'K' can be obtained from polygon GHJK by a sequence of transformations. They are similar because the area of polygon GHJK is the same as area of в polygon G'H'J'K'. They are NOT similar because polygon G'H'J'K' cannot be obtained from polygon GHJK in a single transformation. They are NOT similar because the orientation of polygon GHJK is not the same as the orientation of polygon C'H'J'K'.
(a)
H.
9 -8 -7 6 -5 -4
2 3 4.5 6 78
G"
H'
K'
Part A
< Which describes a possible sequence of transformations that transforms polygon
GHJK into polygon G'H'J'K'?
a 180-degree rotation about the origin, followed by a dilation centered at the
(A
origin with a scale factor of
1
2
a reflection across the line y = x, followed by a dilation centered at the
B
origin with a scale factor of 2.
a reflection across the y- axis, followed by a reflection across the
(c)
æ- axis, followed by a dilation centered at the origin with a scale factor of 2
a reflection across the y- axis, followed by a translation down 10 units,
1
followed by a dilation centered at the origin with a scale factor of
2
Transcribed Image Text:(a) H. 9 -8 -7 6 -5 -4 2 3 4.5 6 78 G" H' K' Part A < Which describes a possible sequence of transformations that transforms polygon GHJK into polygon G'H'J'K'? a 180-degree rotation about the origin, followed by a dilation centered at the (A origin with a scale factor of 1 2 a reflection across the line y = x, followed by a dilation centered at the B origin with a scale factor of 2. a reflection across the y- axis, followed by a reflection across the (c) æ- axis, followed by a dilation centered at the origin with a scale factor of 2 a reflection across the y- axis, followed by a translation down 10 units, 1 followed by a dilation centered at the origin with a scale factor of 2
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