1. A triangle has vertices at A(2,3), B(4,3), and C(3,5). After a transformation, the new vertices are A'(2,1), B'(4,1), and C'(3,-1). What transformation has occurred?

2. Which of these describes a rotation? (Select all that apply)

3. A square is translated by the vector (3, -2). This means:

4. When a shape is reflected in the y-axis, what happens to the coordinates (x, y)?

5. A point P(4, 1) is rotated 90° clockwise about the origin. What are the new coordinates?

6. Describe the transformation that maps triangle ABC with vertices A(1,2), B(3,2), C(2,4) to triangle A'B'C' with vertices A'(1,0), B'(3,0), C'(2,-2).

7. A shape is reflected in the line x = 3. If point Q is at (1, 5), where will Q' be after the reflection?

8. Complete the sentence: When performing a translation, every point on the shape moves _________________ distance in the _________________ direction.

9. A rectangle has vertices at (2,1), (5,1), (5,3), and (2,3). It undergoes two transformations:
• First: Translation by vector (-1, 2)
• Second: Reflection in the x-axis
Find the final coordinates of all four vertices.

10. Draw and label a coordinate grid in the box below. Plot triangle T with vertices at (1,1), (3,1), and (2,3). Then show:
• Triangle T' after rotation 180° about point (2,2)
• Triangle T'' after reflecting T in the line y = x

11. Explain the difference between a rotation and a reflection. Give one example of each transformation using coordinates.