a figure is rotated 180 degrees around the origin and then dilated by a…
d. (6,−8)
Aufgabe
a figure is rotated 180 degrees around the origin and then dilated by a scale factor of -2. how will the coordinates of the point $(3, -4)$ change?
a. $(-6,8)$
b. $(6,8)$
c. $(-6,-8)$
d. $(6,-8)$
Lösungsschritte
-
Understand the question
a figure is rotated 180 degrees around the origin and then dilated by a scale factor of -2. how will the coordinates of the point $(3, -4)$ change?
a. $(-6,8)$
b. $(6,8)$
c. $(-6,-8)$
d. $(6,-8)$ -
Explanation
Step1: Rotate 180° around origin
For a point $(x,y)$, 180° rotation gives $(-x,-y)$.
For $(3,-4)$: $(-3, 4)$Step2: Dilate by scale factor -2
Multiply each coordinate by the scale factor: $(-3 \times -2, 4 \times -2)$
$=(6, -8)$ -
Final answer
d. (6,−8)
Antwort
Explanation
Step1: Rotate 180° around origin
For a point $(x,y)$, 180° rotation gives $(-x,-y)$.
For $(3,-4)$: $(-3, 4)$
Step2: Dilate by scale factor -2
Multiply each coordinate by the scale factor: $(-3 \times -2, 4 \times -2)$
$=(6, -8)$
Answer
d. (6,−8)
Question Image
Click to enlargeQuestion Analysis
Subject
mathematics
Sub Subject
geometry
Education Level
high school
Difficulty
unspecified
Question Type
multiple choice, calculation
Multi Question
No
Question Count
1
Analysis Status
completed
Analyzed At
2026-02-09T20:23:25
OCR Text
Show OCR extraction
a figure is rotated 180 degrees around the origin and then dilated by a scale factor of -2. how will the coordinates of the point $(3, -4)$ change? a. $(-6,8)$ b. $(6,8)$ c. $(-6,-8)$ d. $(6,-8)$
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