Math  /  Geometry

QuestionA 5 T B C -3 E -2 2 D Find the composition of transformations that map ABCD to EHGF. Reflect over the [?]-axis, then translate (x+[ ], y+[ ]). 0 2 3 F Note: -2 G Enter x or y for axis

Studdy Solution
Translate the reflected quadrilateral:
- Apply the translation vector (x + 4, y + 0) to each reflected vertex: - A'(-5, -2) becomes E(-5, -2) (no change needed) - B'(-3, -5) becomes H(-3, -3) (translate up by 2 units) - C'(0, -5) becomes G(0, -3) (translate up by 2 units) - D'(-2, -2) becomes F(2, -2) (translate right by 4 units)
The composition of transformations is:
1. Reflect over the x-axis.
2. Translate by (x + 4, y + 0).

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