12
QuizMultiple Choice

Symmetry — Unit test

Question 12 • CA-Common Core Geometry DVHS Sem. 1

Triangle EFG has vertices E(–3, 4), F(–5, –1), and G(1, 1). The triangle is translated so that the coordinates of the image are E’(–1, 0), F’(–3, –5), and G’(3, –3).

Answer
A
T4, –4(x, y)
B
T–4, –4(x, y)
C
T2, –4(x, y)
D
T–2, –4(x, y)

Explanation

Compare a vertex with its image: E moves from (−3, 4) to (−1, 0), which adds 2 to the x-coordinate and subtracts 4 from the y-coordinate. The same change takes F to F’ and G to G’. Therefore, the translation is T₂, −₄(x, y), choice C.

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