1. Algebraic Representations of Transformations Day 2

2. Warm Up

3. Triangle PQR has vertices P (3, 3), Q (5, -1), and R (1, -2)
Triangle PQR has vertices P (3, 3), Q (5, -1), and R (1, -2). Find the vertices of triangle P’Q’R’ after a translation of 3 units to the left and 1 unit up. Then graph the triangle and its image.

4. Which coordinate changes and how does it change as you translate a vertex right? Left? Up? Down?

5. How does the distance between vertices of the image change as compared to the distance between vertices in the preimage?

6. Triangle PQR has vertices P (3, 3), Q (5, -1), and R (1, -3)
Triangle PQR has vertices P (3, 3), Q (5, -1), and R (1, -3). Find the vertices of triangle P’Q’R’ after a reflection across the y-axis. Then graph the triangle and its image.

7. Triangle PQR has vertices P (3, 3), Q (5, -1), and R (1, -3)
Triangle PQR has vertices P (3, 3), Q (5, -1), and R (1, -3). Find the vertices of triangle P’Q’R’ after a 90° counterclockwise rotation about the origin. Then graph the triangle and its image.

8. Mitchell says the point (0, 0) does not change when reflected across the x- or y-axis or when rotated about the origin. Do you agree with Mitchell? Explain why or why not.

9. Exit Ticket
Triangle ABC has vertices A(-4, 1), B(-2, 1), and C(-1, -2).
Find the coordinates of the vertices of triangle A’B’C’ after a 90° clockwise rotation about the origin.
Find the coordinates of the vertices of triangle A’B’C’ after triangle ABC is reflected across the y-axis.
Find the coordinates of the vertices of triangle A’B’C’ after triangle ABC is translated using the rule (x, y) → (x + 5, y - 3). Then, describe the translation.
Point M has coordinates (3, -2). The coordinates of point M’ after a single transformation are (-3, 2). Name a transformation that could have done this.