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Parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.
On a coordinate plane, 2 parallelogram are shown. Parallelogram F G H J has points (negative 4, 5), (negative 2, 5), (negative 1.5, 3), and (negative 3.5, 3). Parallelogram F prime G prime H prime J prime has points (negative 5, 2), (3, 2), (5, negative 6) and (negative 3, negative 6).
What is the scale factor of the dilation?
One-eighth
One-fourth
4
8
All Answers 1
Answered by
GPT-5 mini
AI
Scale factor = 4.
Reason: FG has length 2 (from x = −4 to −2) and F'G' has length 8 (from x = −5 to 3), so 8/2 = 4. The vertical span also scales 2 → 8, confirming factor 4.
Reason: FG has length 2 (from x = −4 to −2) and F'G' has length 8 (from x = −5 to 3), so 8/2 = 4. The vertical span also scales 2 → 8, confirming factor 4.
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