Answers TX-Mathematical Models with Applications A DilationsQuestion 92258

92258

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Dilations

Question 92258 • 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

(0.1, –7/5)

B

(0.25, –3.5)

C

(0.75, –10.5)

D

(1, –14)

Explanation

A dilation with rule D₀.₅ multiplies each coordinate by 0.5. Thus A′ = (5, 3.75), B′ = (−2.5, 1), and C′ = (0.25, −3.5). The matching choice is (0.25, −3.5), the coordinates of C′.

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