Final Answer:
1) Reflection across x-axis: Flip the shape over the x-axis — every point (x, y) becomes (x, -y).
2) Rotation 90° clockwise about origin: Turn the shape 90 degrees to the right around (0,0) — (x, y) becomes (y, -x).
3) Reflection across line y = -1: Flip the triangle over the horizontal line y = -1 — measure distance from each point to y=-1 and place reflected point same distance on other side.
4) Translation 2 left and 3 down: Move every point of the shape 2 units left (subtract 2 from x) and 3 units down (subtract 3 from y).
5) Translation 5 down: Move every point of the shape 5 units down (subtract 5 from y-coordinate).
6) Rotation 90° counterclockwise about origin: Turn the shape 90 degrees to the left around (0,0) — (x, y) becomes (-y, x).
Each transformation changes the position or orientation of the shape according to the rule given. Draw the new shape by applying the rule to each corner point, then connect them.
Parent Tip: Review the logic above to help your child master the concept of similarity and transformations worksheet.