AABC has vertices A(-4,6), B(-6, – 4), and C(2, -2). The following transformation defines AA""B"'C'"': AA''B'"'C'"" = Rx-axis(T(2,3) Choose each correct coordinate for the vertices of AA""B'"'C'"'.

Elementary Geometry For College Students, 7e
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ChapterP: Preliminary Concepts
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067/assessments/233776/variants/325135/take/6
Q ☆
AABC has vertices A(-4,6), B(-6, – 4), and C(2, - 2).
The following transformation defines AA"'B""C''':
AA''B''C'"" = Rx-axis(T
iT(2.3)/D.(ABC)
Choose each correct coordinate for the vertices of AA""B''C'"'.
Point A"
Point B"
Point C"
O A" (-1,-4.5) O OC" (2,–0.5)
O A" (-1,–1.5) OB" (-1,5) OC"(2,2.5)
O B" (-2,0.5) O C" (3, –2)
OB" (-2,3.5) O C" (3,4)
B"(-1,-1)
O C" (2,-0.5)
O A" (0,-6)
O A" (0,0)
Transcribed Image Text:067/assessments/233776/variants/325135/take/6 Q ☆ AABC has vertices A(-4,6), B(-6, – 4), and C(2, - 2). The following transformation defines AA"'B""C''': AA''B''C'"" = Rx-axis(T iT(2.3)/D.(ABC) Choose each correct coordinate for the vertices of AA""B''C'"'. Point A" Point B" Point C" O A" (-1,-4.5) O OC" (2,–0.5) O A" (-1,–1.5) OB" (-1,5) OC"(2,2.5) O B" (-2,0.5) O C" (3, –2) OB" (-2,3.5) O C" (3,4) B"(-1,-1) O C" (2,-0.5) O A" (0,-6) O A" (0,0)
Expert Solution
Step 1

Given data:

The first coordinate given is A(-4, 6).

The second coordinate given is B(-6, -4).

The third coordinate given is C(2, -2).

The expression for the dilation D1/2 is,

D12ABC=12ABC

Substitute the given values in the above expression.

D12ABC=A'-2,3=B'-3, -2=C'1, -1

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