From a Point: Real-world Applications
Mathematics
Year 9
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet exploring enlargement from a point through procedural questions, problem-solving, and real-world contexts for Year 9 students.
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Full preview • 11 questions
From a Point: Real-world Applications
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.
Given a triangle ABC with vertices at A(2,3), B(4,5), and C(3,7), construct an enlarged triangle from point P(3,4) with a scale factor of 2. Describe the new coordinates of the vertices after enlargement.
[3 marks]2.
Calculate the length of a line segment from point P(1,2) to Q(4,6). Then, find the length after enlarging this segment from P with a scale factor of 3.
[3 marks]3.
If a square with side length 4 units is enlarged from point O(0,0) with a scale factor of 3, what will be the new side length?
[2 marks]4.
Plot the graph of y=2x on your grid and then construct the enlargement of this graph from the origin (0,0) with a scale factor of 0.5. Describe the new graph's equation.
[3 marks]5.
A rectangle has vertices at (1,1), (5,1), (5,3), and (1,3). It is enlarged from point (2,2) with a scale factor of 2. Find the coordinates of the new vertices.
[3 marks]6.
A street map shows a park 3cm wide. If the map is enlarged from the park's corner point by a scale factor of 4, what is the actual width of the park?
[2 marks]7.
A triangle is enlarged from point P(4,2) with a scale factor of 3. The original vertices are Q(5,3) and R(6,1). Calculate the new coordinates of Q' and R'.
[3 marks]8.
Identify and correct the mistake in the following statement: 'Enlarging a shape from a point always results in a shape with the same size.'
[2 marks]9.
A company enlarges a logo from a point by a scale factor of 5. If the original logo is 3 cm wide, what is the width after enlargement?
[2 marks]10.
Construct an enlarged triangle from point P(2,2) with scale factor 2 using the vertices A(1,1), B(3,1), and C(2,3). Record the new vertices.
[3 marks]11.
A line segment from point (2,3) to (5,7) is enlarged from point (2,3) with a scale factor of 4. Find the new endpoints of the segment.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet