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Properties of Transformations

Question 16 • 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
(–10, 4)
B
(–7.5, 3)
C
(–2.5, 1)
D
(–1, 2/5)

Explanation

A dilation with scale factor 0.5 centered at the origin multiplies both coordinates by 0.5. This gives A′ = (5, 3.75), B′ = (−2.5, 1), and C′ = (0.25, −3.5). Choice C, (−2.5, 1), matches B′; the other two image coordinates are not listed among the choices.

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