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Year 9 Exam  >  Year 9 Tests  >  Test: Position and Transformation - Year 9 MCQ

Test: Position and Transformation - Year 9 MCQ


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10 Questions MCQ Test - Test: Position and Transformation

Test: Position and Transformation for Year 9 2024 is part of Year 9 preparation. The Test: Position and Transformation questions and answers have been prepared according to the Year 9 exam syllabus.The Test: Position and Transformation MCQs are made for Year 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Position and Transformation below.
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Test: Position and Transformation - Question 1
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What are the coordinates of the point (3, -2) after it is reflected over the y-axis?

Detailed Solution for Test: Position and Transformation - Question 1
When a point is reflected over the y-axis, its x-coordinate changes sign. Therefore, (3, -2) becomes (-3, -2).
Test: Position and Transformation - Question 2
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A triangle with vertices at (1, 2), (3, 4), and (5, 6) is rotated 90 degrees clockwise about the origin. What are the new coordinates of the vertices?

Detailed Solution for Test: Position and Transformation - Question 2
When rotating 90 degrees clockwise about the origin, the coordinates (x, y) transform to (y, -x). Applying this to each vertex, (1, 2) becomes (2, -1), (3, 4) becomes (4, -3), and (5, 6) becomes (6, -5).
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Test: Position and Transformation - Question 3
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If a point (4, 5) is translated by the vector (-3, -2), what are the new coordinates of the point?

Detailed Solution for Test: Position and Transformation - Question 3
To translate a point by a vector, add the vector's components to the point's coordinates. So, (4, 5) translated by (-3, -2) gives (4 - 3, 5 - 2) = (1, 3).
Test: Position and Transformation - Question 4
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Which transformation will map the point (2, -3) to the point (-2, 3)?
Detailed Solution for Test: Position and Transformation - Question 4
A rotation of 180 degrees about the origin changes the sign of both coordinates. Therefore, (2, -3) becomes (-2, 3).
Test: Position and Transformation - Question 5
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A square has vertices at (1, 1), (1, 3), (3, 1), and (3, 3). What are the coordinates of the vertices after the square is reflected over the line y = x?
Detailed Solution for Test: Position and Transformation - Question 5
Reflecting over the line y = x swaps the x- and y-coordinates of each point. Therefore, (1, 1), (1, 3), (3, 1), and (3, 3) remain the same.
Test: Position and Transformation - Question 6
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What is the order of rotational symmetry for a regular pentagon?
Detailed Solution for Test: Position and Transformation - Question 6
A regular pentagon has rotational symmetry of order 5, meaning it can be rotated into five different positions that look the same.
Test: Position and Transformation - Question 7
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A point (6, -1) is reflected across the x-axis. What are the new coordinates of the point?
Detailed Solution for Test: Position and Transformation - Question 7
When a point is reflected across the x-axis, its y-coordinate changes sign. Therefore, (6, -1) becomes (6, 1).
Test: Position and Transformation - Question 8
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If triangle ABC with coordinates A(1, 2), B(3, 5), and C(4, 2) is translated by the vector (2, -3), what are the new coordinates of A, B, and C?
Detailed Solution for Test: Position and Transformation - Question 8
Translating each point by (2, -3) results in A(1 + 2, 2 - 3) = A(3, -1), B(3 + 2, 5 - 3) = B(5, 2), and C(4 + 2, 2 - 3) = C(6, -1).
Test: Position and Transformation - Question 9
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What type of symmetry does a regular hexagon have?
Detailed Solution for Test: Position and Transformation - Question 9
A regular hexagon has both rotational symmetry (order 6) and reflectional symmetry (6 lines of symmetry).
Test: Position and Transformation - Question 10
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A rectangle is rotated 180 degrees about its center. How does this transformation affect the orientation of the rectangle?
Detailed Solution for Test: Position and Transformation - Question 10
Rotating a rectangle 180 degrees about its center does not change its orientation; it looks exactly the same.
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