Introduction: Real-world Applications of Translation in Architecture & Design
Mathematics
Year 9
10 questions
~20 mins
1 views0 downloads
About This Worksheet
This worksheet introduces the concept of translation using column vectors within real-world contexts of architecture and design. Students will explore how objects can be moved and positioned accurately using vectors.
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Full preview • 10 questions
Introduction: Real-world Applications of Translation in Architecture & Design
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A rectangular window frame is translated 3 units to the right and 2 units up. If the original position has a bottom-left corner at (1, 1), what are the coordinates of the bottom-left corner after translation?
[2 marks]2.
Construct a translation vector that moves a design element 5 units left and 4 units down. Write the vector in column form.
[3 marks]3.
A blueprint shows a wall segment at points A(2, 3) and B(6, 3). If the segment is translated 2 units right and 1 unit up, what are the new coordinates of points A and B?
[3 marks]4.
In an architectural plan, a column is located at (5, 7). To place a new feature, you need to move this column 4 units left and 3 units down. What are the new coordinates?
[2 marks]5.
Given a translation vector of [ [0], [3] ], describe the movement in words and identify the direction of the translation.
[2 marks]6.
A building facade is shifted 2 units right and 5 units down to align with an existing structure. If the original coordinates of a window are (8, 12), what are the new coordinates after translation?
[2 marks]7.
A designer moves a decorative element from (4, 5) to a new position. The translation vector is [-2, 3]. What are the coordinates of the new position?
[2 marks]8.
A floor plan shows a rectangular room with corners at (1,1), (5,1), (5,4), and (1,4). The room is shifted to the right by 3 units and upward by 2 units. What are the new coordinates of each corner?
[4 marks]9.
Challenge: An architect wants to move a curved feature 7 units left and 2 units down. If the original position is centered at (10, 15), what is the new center position?
[3 marks]10.
Error Analysis: A student claims that translating a shape by vector [ [3], [-2] ] moves it 3 units left and 2 units down. Is this correct? If not, identify and correct the mistake.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet