Transformations Worksheets Grade 8

1. Triangle ABC with vertices A(5, 10), B(10, 10), C(5, 15) is reflected over the x-axis, then dilated by a scale factor of 2 from the origin. Find the coordinates of the final image of point C.
2. Triangle Hana with vertices H(2,4), A(6,4), N(4,8) is reflected over the x-axis. What are the coordinates of the image?
3. Triangle Emma with vertices E(3,5), M(7,9), M(5,11) is reflected over the line y = x, then rotated 90° counterclockwise about the origin. What are the coordinates of the final image of vertex E?

…and 5 more problems

1. Kaia is designing a geometric pattern using transformations. She starts with a triangle with vertices at (12, 4), (16, 4), and (12, 9). She applies a dilation centered at the origin with a scale factor of 2.5. What is the y-coordinate of the image of vertex (12, 9) after this dilation?
2. Triangle Aroha has vertices at A(9,10), B(11,10), and C(9,14). It is reflected over the x-axis. What are the coordinates of the image?
3. Isabella is designing a triangular garden plot with vertices at (8, 12), (14, 12), and (14, 18). She creates a similar garden by applying a dilation centered at the origin with a scale factor of 1.5. What is the y-coordinate of the dilated image of the vertex that was originally at (14, 18)?

…and 4 more problems

1. Triangle Hana with vertices H(4,8), A(6,8), N(4,12) is reflected over the x-axis. What are the coordinates of the image?
2. Triangle ABC with vertices A(2, 7), B(5, 7), C(2, 3) is reflected over the y-axis. What are the coordinates of A'?
3. Charlotte is designing a banner for a school event. She starts with a rectangle that is 15 cm by 10 cm. She then applies a dilation to the rectangle using a scale factor of 3/2. After the dilation, she reflects the new rectangle over the x-axis. Which statement correctly describes the relationship between the original rectangle and the final transformed rectangle?

…and 5 more problems