Grade 7 Geometry Worksheet: Transformations
Mathematics
General
4 questions
~8 mins
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About This Worksheet
This medium level Geometry worksheet is designed for grade 7 to develop key mathematical skills. It includes 20 engaging problems covering essential concepts in Geometry. Perfect for classroom practice, homework, or assessment preparation. This worksheet helps students build confidence and proficiency in mathematics through structured practice with clear solutions provided.
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Grade 7 Geometry Worksheet: Transformations
Subject: MathematicsGrade: General
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Grade 7 Geometry Worksheet: Transformations
Mathematics
Instructions: Read each question carefully. For multiple-choice questions, select the best answer. For problems requiring calculations or drawings, show all your work clearly in the provided space. Use the grid areas to sketch figures when needed.
A
Transformations Basics
Questions related to basic transformations and their effects on figures.
1.
A triangle with vertices at A(2, 3), B(4, 5), and C(3, 2) is translated 3 units right and 2 units down. What are the new coordinates of the vertices?
[3 marks]2.
Which transformation maps triangle PQR onto triangle P'Q'R' such that P(1,2) maps to P'(4,5)?
[2 marks]AReflection over the y-axis
BTranslation 3 units right and 3 units up
CRotation 180° around the origin
DDilation with a scale factor of 2
3.
Reflect a point (−3, 4) over the y-axis. What are the new coordinates?
[2 marks]4.
A square with side length 6 units is dilated with a scale factor of 1.5 from the origin. What is the length of the new square's side?
[3 marks]B
Advanced Transformation Problems
Problems involving multiple steps and understanding composite transformations.
1.
A rectangle with vertices at (1,1), (4,1), (4,3), and (1,3) is rotated 90° clockwise about the origin. What are the new coordinates of the vertices?
[4 marks]2.
Identify the transformation: A point (x, y) maps to (−x, y).
[2 marks]AReflection over the y-axis
BReflection over the x-axis
CRotation 180°
DTranslation 5 units right
3.
A triangle is translated 4 units left and 3 units up. The original vertex is at (5, 7). What is the new position?
[2 marks]4.
A figure is enlarged with a scale factor of 2 from point (2, 2). If a point on the figure is at (3, 4), what are its new coordinates after dilation?
[3 marks]C
Mixed Transformation Challenges
Identify transformations and their effects on figures, including combinations.
1.
A figure is reflected over the x-axis and then translated 2 units up. Which of the following describes this sequence?
[2 marks]AReflection over x-axis, then translation up
BTranslation up, then reflection over x-axis
CRotation followed by reflection
DDilation followed by translation
2.
A point at (−2, 5) is rotated 90° counterclockwise about the origin. What are the new coordinates?
[3 marks]3.
Identify the transformation: A shape is scaled down by a factor of 0.5 with respect to the origin.
[2 marks]ADilation with scale factor 0.5
BReflection over the y-axis
CRotation 90°
DTranslation 1 unit right
4.
A triangle with vertices at (2,2), (4,2), and (3,4) is translated 3 units left and 1 unit down. Find the new vertices.
[4 marks]D
Challenge Questions
Extra challenge problems to test your understanding of transformations.
1.
A figure is rotated 180° around point (1, 1). If a point on the figure is at (4, 5), what are its new coordinates?
[4 marks]2.
A square with side length 8 units is dilated with a scale factor of 0.75 from the origin. What is the side length of the new square?
[3 marks]3.
Describe the transformation that maps a point (x, y) to (x + 2, y − 3).
[2 marks]ATranslation 2 units right and 3 units down
BReflection over the x-axis
CRotation 90°
DDilation with scale factor 2
4.
A triangle with vertices at (0, 0), (2, 0), and (1, 2) is reflected over the y-axis and then rotated 90° clockwise about the origin. Find the new coordinates of the vertices.
[5 marks]Quick Actions
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Details
- Created
- 4/24/2025
- Updated
- 12/29/2025
- Type
- worksheet