Transformations Practice
1. Draw a triangle with vertices at (–2, 8), (4, 8), and (1, 14).
Translate it so that the vertex at (–2, 8) moves to (–5, 10).
Name the other vertices on the translated triangle and describe what happens to the
coordinates of each vertex for this translation.
2. Draw a square with one vertex at (–5, –5).
a) Reflect the square across the y-axis.
Name the vertices of the reflected square and describe what happens to the coordinates
of each vertex for this reflection.
b) Reflect the square you started with in part a) across the line that goes through y=x.
Name the vertices of the reflected square and describe what happens to the coordinates
of each vertex for this reflection.
3. Draw a triangle with vertices at (8, 6), (9, 10), and (11, 8).
a) Rotate the triangle 90° counterclockwise using the origin as the turn centre.
Name the vertices of the rotated angle and describe what happens to the
coordinates of each vertex for this rotation.
b) Rotate the original triangle 180° using the origin as the turn centre.
Name the vertices of the rotated triangle and describe what happens to
the coordinates of each vertex for this rotation.
4. Create one shape so that all of the following conditions could be true.
Explain your thinking.
• If you translate it, one vertex moves to (–8, 4).
• If you rotate it 90° counterclockwise, one vertex moves to (–3, 6).
• If you reflect it across the line that goes through (0, 0) and (1, 1), one vertex moves to
(–1, 2).
• If you reflect it across the x-axis, one vertex moves to (3, –5).
5. Explain why you could start with different shapes in Question 4.
6. Add more clues so that only one shape is possible in Question 4.
Explain why your clues work.
7. Perform a dilation of 0.5 using the origin as the dilation centre. Describe what
happens to the coordinates of each vertex for this dilation.
8.
a) Copy the triangle above onto the grid on the next page. Reflect it using the line y = −1.
Label each vertex and describe what happens to the coordinates of each vertex.
b) Rotate the triangle around the origin 90° counterclockwise. Label each vertex and
describe what happens to the coordinates of each vertex.
c) Translate the triangle 5 right and 2 up and describe what happens to the coordinates of
each vertex.
9. Optional Extra Practice: Describe transformations from the start triangle to other triangle on
the grid. Include the coordinates and notation for all transformations you find.
