Subjects geometry

Quadrilateral Transformation 6Ac3C0

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

Question: What single transformation was applied to quadrilateral $A$ to get quadrilateral $B$? Quadrilateral $B$ is located in the top-right area of the grid, and quadrilateral $A$ is located in the bottom-right area of the grid. Choose 1 answer: A Translation B Rotation C Reflection D Dilation
1. **State the problem:** We need to determine which single transformation maps quadrilateral $A$ from the bottom-right area of the grid to quadrilateral $B$ in the top-right area. 2. **Recall transformation types:** - **Translation:** slides a figure without rotating or flipping it. - **Rotation:** turns a figure around a fixed point. - **Reflection:** flips a figure over a line (mirror image). - **Dilation:** resizes a figure larger or smaller, preserving shape. 3. **Analyze the positions:** - Quadrilateral $A$ is in the bottom-right. - Quadrilateral $B$ is in the top-right. 4. **Check if translation fits:** - Translation moves a figure without changing orientation. - Moving from bottom-right to top-right by sliding straight up is a translation. 5. **Check if rotation fits:** - Rotation would change orientation and position around a point. - The figure does not appear rotated. 6. **Check if reflection fits:** - Reflection flips the figure over a line. - The figure is not flipped; it maintains orientation. 7. **Check if dilation fits:** - Dilation changes size. - The size remains the same. 8. **Conclusion:** The transformation is a **translation** moving quadrilateral $A$ straight up to quadrilateral $B$. **Final answer:** A Translation