Are You Ready? Complete these problems to review prior concepts and skills you will need for this module. Translate Figures in the Coordinate Plane The coordinates of a quadrilateral are (-1, 2), (2, 4), (4, 3), and (1, –1). Find the coordinates of the image after translating by the given rule. 1. (x, y) - (x – 4, y + 1) 2. (x, y) → (x + 2, y – 5) 3. (к,у) — (х, у — 3) 4. (х,у) — (х - 3, у - 2) Rotate Figures in the Coordinate Plane The coordinates of a triangle are (-1, 1), (3, -1), and (-2, -4). Find the coordinates of the image after performing the rotation about the origin. 5. 90° counterclockwise 6. 270° counterclockwise 7. 180 Reflect Figures in the Coordinate Plane The coordinates of a quadrilateral are (-2, 3), (0, 4), (4, 2), and (–1, –1). Find the coordinates of the image after performing the reflection across the given line. 8. x-axis 9. y-axis Connecting Past and Present Learning Previously, you learned: • to transform figures in the coordinate plane, • to determine unknown values using angle pairs, and • to write proofs about segments and angles. In this module, you will learn: • to use transformations to prove if figures are congruent, and • to use corresponding parts of congruent figures to determine unknown values.