Grade 7 Geometry Worksheet: Transformations
Mathematics
General
9 questions
~18 mins
1 views0 downloads
About This Worksheet
This medium level Geometry worksheet is designed for grade 7 to develop key mathematical skills. It includes 10 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: Answer all questions carefully. For questions requiring drawings or calculations, use the provided grid areas to show your work. Choose the best answer for multiple-choice questions.
A
Translations
Questions related to sliding figures from one position to another without rotating or flipping them.
1.
A triangle with vertices at A(2, 3), B(4, 5), and C(3, 7) is translated 3 units right and 2 units down. What are the new coordinates of point A?
[2 marks]A(5, 1)
B(5, 5)
C(1, 1)
D(2, 5)
2.
If a figure is translated 4 units left and 3 units up, what is the translation vector?
[2 marks]A(-4, 3)
B(4, -3)
C(-4, -3)
D(4, 3)
B
Rotations
Questions about rotating figures around a point, typically the origin, by specified degrees.
1.
A point P(3, 4) is rotated 90° clockwise about the origin. What are the new coordinates of P?
[2 marks]A(4, -3)
B(-4, 3)
C(-3, -4)
D(3, -4)
2.
A square is rotated 180° around its center. How does the orientation of the square change?
[2 marks]AIt flips upside down.
BIt stays the same.
CIt rotates 90°.
DIt moves to a different position without rotating.
C
Reflections
Questions involving flipping figures over a line of symmetry such as x-axis, y-axis, or other lines.
1.
Reflect the point Q(6, -2) over the y-axis. What are the new coordinates?
[2 marks]A(-6, -2)
B(6, 2)
C(-6, 2)
D(6, -2)
2.
A triangle is reflected over the x-axis. If one vertex is at (3, 5), where will it be after reflection?
[2 marks]A(3, -5)
B(-3, 5)
C(3, 5)
D(-3, -5)
D
Dilations
Questions about enlarging or reducing figures proportionally from a center point.
1.
A triangle with vertices at (2, 2), (4, 2), and (3, 4) is dilated with a scale factor of 2 from the origin. What are the new coordinates of vertex (4, 2)?
[2 marks]A(8, 4)
B(4, 4)
C(2, 2)
D(4, 8)
2.
What is the scale factor if a figure's size doubles after a dilation from the origin?
[2 marks]A2
B0.5
C1
D3
E
Combined Transformations
Questions involving applying multiple transformations in sequence.
1.
A figure is translated 3 units right, then rotated 90° clockwise. Which of the following describes the final position of a point initially at (1, 2)?
[2 marks]A(5, -1)
B(3, -1)
C(4, 3)
D(2, 4)
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Details
- Created
- 5/9/2025
- Updated
- 12/31/2025
- Type
- worksheet