6
QuizMultiple Choice

Triangle Congruence: ASA and AAS

Question 6 • BISD TX-Geometry A-CR

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.

AI-written and checked against the verified answer.

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