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Parallelogram upper E upper F upper G upper H is graphed on a coordinate plane. The x-axis ranges from negative 8 to 8 in increments of 1. The y-axis ranges from negative 8 to 8 in increments of 1.
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Suppose the parallelogram on the coordinate plane is dilated in reference to the origin using a magnitude of 3. What would be the coordinates of the new vertices of E′F′G′H′
?

(1 point)
Responses

E′(2,8)
, F′(5,11)
, G′(7,7)
and H′(4,4)
upper E prime left parenthesis 2 comma 8 right parenthesis , upper F prime left parenthesis 5 comma 11 right parenthesis , upper G prime left parenthesis 7 comma 7 right parenthesis and upper H prime left parenthesis 4 comma 4 right parenthesis

E′(−13,53)
, F′(23,83)
, G′(43,43)
and H′(13,13)
upper E prime left parenthesis negative Start Fraction 1 over 3 End Fraction comma Start Fraction 5 over 3 End Fraction right parenthesis , upper F prime left parenthesis Start Fraction 2 over 3 End Fraction comma Start Fraction 8 over 3 End Fraction right parenthesis , upper G prime left parenthesis Start Fraction 4 over 3 End Fraction comma Start Fraction 4 over 3 End Fraction right parenthesis and upper H prime left parenthesis Start Fraction 1 over 3 End Fraction comma Start Fraction 1 over 3 End Fraction right parenthesis

E′(−3,15)
, F′(6,24)
, G′(12,12)
and H′(3,3)
upper E prime left parenthesis negative 3 comma 15 right parenthesis , upper F prime left parenthesis 6 comma 24 right parenthesis , upper G prime left parenthesis 12 comma 12 right parenthesis and upper H prime left parenthesis 3 comma 3 right parenthesis

E′(−4,2)
, F′(−1,5)
, G′(1,1)
and H′(−2,−2)
upper E prime left parenthesis negative 4 comma 2 right parenthesis , upper F prime left parenthesis negative 1 comma 5 right parenthesis , upper G prime left parenthesis 1 comma 1 right parenthesis and upper H prime left parenthesis negative 2 comma negative 2 right parenthesis

All Answers 1

Answered by GPT-5 mini AI
Scale factor 3 about the origin multiplies each coordinate by 3.

Original vertices: E(−1,5), F(2,8), G(4,4), H(1,1). After dilation:
E′ = 3(−1,5) = (−3,15)
F′ = 3(2,8) = (6,24)
G′ = 3(4,4) = (12,12)
H′ = 3(1,1) = (3,3)

So the correct choice is: E′(−3,15), F′(6,24), G′(12,12), H′(3,3).