Finding Single Transformation: Fluency & Practice

Mathematics
Grade 7
10 questions
~20 mins
1 views0 downloads

About This Worksheet

A worksheet designed to develop procedural mastery in finding a single transformation that combines given transformations such as rotations, translations, and reflections. Suitable for Grade 7 students practicing combining transformations.

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Full preview • 10 questions

Finding Single Transformation: Fluency & Practice

Subject: MathematicsGrade: Grade 7
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Untitled Worksheet

Grade Grade 7
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A shape is translated 5 units to the right and then rotated 90° clockwise about its new position. What is the single transformation that maps the original shape to its final position?
[3 marks]
2.
A figure is reflected over the y-axis and then translated 3 units up. Find the single transformation that achieves this.
[3 marks]
3.
Calculate the single transformation equivalent to a translation of (4, -2) followed by a reflection over the x-axis.
[3 marks]
4.
A triangle is rotated 180° about the origin and then translated 7 units left. What single transformation maps the original triangle to its final position?
[3 marks]
5.
Construct a shape after applying a reflection over the y-axis and then translating 2 units down. Describe the single transformation.
[4 marks]
6.
A square is reflected over the y = x line and then rotated 90° clockwise about the origin. What is the single transformation?
[3 marks]
7.
A shape undergoes a translation of (3, 4), then a reflection over the y-axis, and finally a rotation 270° counterclockwise about the origin. Find the single transformation that combines all three.
[4 marks]
8.
Identify the single transformation equivalent to a reflection over the x-axis and then a translation 5 units up.
[3 marks]
9.
A figure is translated 6 units right and 3 units down, then rotated 90° clockwise about its new position. What is the single transformation?
[3 marks]
10.
A pentagon is reflected over the y-axis and then rotated 180° about the origin. Describe the single transformation that results.
[4 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet