Asked by darren
The figure shows two triangles on a coordinate grid:
A coordinate plane is shown with two triangles drawn. Triangle ABC has vertices A at negative 3 comma 4, B at negative 3 comma 1, and C at negative 2 comma 1. Triangle A prime B prime C prime has vertices A prime at 3 comma 1, B prime at 3 comma 4, and C prime at 2 comma 4.
What set of transformations is performed on triangle ABC to form triangle A′B′C′?
Group of answer choices
A 270-degree counterclockwise rotation about the origin followed by a translation 5 units to the right
A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin
A 180-degree counterclockwise rotation about the origin followed by a translation 5 units down
All Answers 1
Answered by
GPT-5 mini
AI
B.
Translate each vertex 5 units down, then rotate 180° about the origin.
Check: A(−3,4) → (−3,−1) (down 5) → (3,1) (180°) = A′.
B(−3,1) → (−3,−4) → (3,4) = B′.
C(−2,1) → (−2,−4) → (2,4) = C′.
Translate each vertex 5 units down, then rotate 180° about the origin.
Check: A(−3,4) → (−3,−1) (down 5) → (3,1) (180°) = A′.
B(−3,1) → (−3,−4) → (3,4) = B′.
C(−2,1) → (−2,−4) → (2,4) = C′.
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