92263
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Dilations

Question 92263 • TX-Mathematical Models with Applications A

Triangle ABC is dilated using the dilation rule D0.5(x, y) to form triangle A’B’C’. Point A is located at (10, 7.5), point B is located at (–5, 2), and point C is located at (0.5, –7). | What are the coordinates of A’? | What are the coordinates of B’? | What are the coordinates of C’?

Answer
A
(2, 1.5)
B
(5, 3.75)
C
(12, 9)
D
(15, 11.25)

Explanation

A dilation with rule D₀.₅(x, y) multiplies each coordinate by 0.5. Thus A′ = (5, 3.75), which matches choice B. Applying the same rule gives B′ = (−2.5, 1) and C′ = (0.25, −3.5).

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