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Geometry Transformations Practice
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Geometry Transformations Practice
Answer each question. For coordinate questions, use the grid where provided. A transformation maps every point of a figure to a new position.
Recognising Transformations
1.A motif moves 4 units left and 3 units down without turning or flipping. Which transformation describes the move?
- Translation
- Reflection
- Rotation
- Enlargement
2.A design is flipped across a mirror line. What is this transformation called?
- Rotation
- Reflection
- Translation
- Dilation
3.Which two properties are preserved by all three rigid motions?
- The figure's size and shape
- Its position and orientation
- Its position and size
- Its orientation and position
4.A square is turned 90° clockwise about the origin. Name the transformation.
5.Match each transformation to the description that best defines it.
- Translation
- Reflection
- Rotation
- Enlargement
- A figure flips across a line
- A figure turns around a fixed point
- A figure changes size by a scale factor
- A figure slides the same distance and direction
Describing and Applying Transformations
6.Explain how a figure moves to a new location without changing its orientation. Include the words “slide” and “position”.
7.Complete the statement: One type of transformation produces a image on the other side of a line.
8.To specify a rotation completely, what information must be given?
Coordinate grid from −5 to 5 on both axes
9.Triangle ABC has vertices A(1, 2), B(3, 2), and C(2, 4). Translate it 4 units left and 1 unit down. Give the coordinates of A′, B′, and C′.
10.An art gallery displays a pattern made by flipping a motif across a vertical line. Draw a simple motif and its matching image on the other side, then name one feature the pair shares.
11.Consider the point P(2, 1). Reflect it in the y-axis, then translate the image 3 units right. What are the final coordinates?
12.Is reflecting a point in the y-axis and then translating it 2 units right always equivalent to translating it 2 units right and then reflecting it in the y-axis? Use P(1, 0) to justify your answer.
13.Rotate Q(−3, 5) by 180° about the origin. Find the image coordinates and show the coordinate rule you used.
3 printable pages
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