[ { "Question": "What type of transformation changes the size of a shape but not its shape?", "Answer": "B", "Explanation": "A dilation changes the size of a shape while preserving its shape and the proportionality of its sides.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/7/7a/Dilation.svg/220px-Dilation.svg.png", "OptionA": "Translation", "OptionB": "Dilation", "OptionC": "Rotation", "OptionD": "Reflection", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Transformations and Symmetry Practice Test", "Content Type": "multiple choice", "Title": "Transformations and Symmetry", "Item": 1, "Type": "multiple choice", "Path": "Transformations and symmetry" }, { "Question": "Which transformation slides a figure from one position to another without rotating or flipping it?", "Answer": "A", "Explanation": "A translation moves every point of a figure the same distance in the same direction, effectively sliding it.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Translation_example.svg/220px-Translation_example.svg.png", "OptionA": "Translation", "OptionB": "Reflection", "OptionC": "Rotation", "OptionD": "Dilation", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Transformations and Symmetry Practice Test", "Content Type": "multiple choice", "Title": "Transformations and Symmetry", "Item": 2, "Type": "multiple choice", "Path": "Transformations and symmetry" }, { "Question": "What is the result of reflecting a shape over a line?", "Answer": "C", "Explanation": "Reflection produces a mirror image of the original shape over the line of reflection.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/4/4e/Reflection_example.svg/220px-Reflection_example.svg.png", "OptionA": "The shape is rotated 90 degrees", "OptionB": "The shape is enlarged", "OptionC": "The shape is flipped over the line", "OptionD": "The shape is slid to a new position", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Transformations and Symmetry Practice Test", "Content Type": "multiple choice", "Title": "Transformations and Symmetry", "Item": 3, "Type": "multiple choice", "Path": "Transformations and symmetry" }, { "Question": "A rotation of 180 degrees about a point results in which of the following?", "Answer": "B", "Explanation": "A 180-degree rotation turns the figure upside down around the center point, mapping each point to its opposite position.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/5/5f/Rotation_180_degrees.svg/220px-Rotation_180_degrees.svg.png", "OptionA": "The figure remains unchanged", "OptionB": "The figure is rotated halfway around the point", "OptionC": "The figure is reflected over a line", "OptionD": "The figure is enlarged", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Transformations and Symmetry Practice Test", "Content Type": "multiple choice", "Title": "Transformations and Symmetry", "Item": 4, "Type": "multiple choice", "Path": "Transformations and symmetry" }, { "Question": "Which of the following is NOT a rigid transformation?", "Answer": "D", "Explanation": "A dilation changes the size of a figure and is not rigid because it does not preserve distances and angles exactly.", "PictureURL": "", "OptionA": "Translation", "OptionB": "Rotation", "OptionC": "Reflection", "OptionD": "Dilation", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Transformations and Symmetry Practice Test", "Content Type": "multiple choice", "Title": "Transformations and Symmetry", "Item": 5, "Type": "multiple choice", "Path": "Transformations and symmetry" }, { "Question": "A shape has line symmetry if:", "Answer": "A", "Explanation": "Line symmetry means the shape can be folded along a line so that both halves match exactly.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/9/9d/Line_symmetry.svg/220px-Line_symmetry.svg.png", "OptionA": "It can be reflected over a line and look the same", "OptionB": "It can be rotated 90 degrees and look the same", "OptionC": "It can be translated and look the same", "OptionD": "It can be dilated and look the same", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Transformations and Symmetry Practice Test", "Content Type": "multiple choice", "Title": "Transformations and Symmetry", "Item": 6, "Type": "multiple choice", "Path": "Transformations and symmetry" }, { "Question": "Which transformation maps every point of a figure to a point directly opposite it across a fixed point?", "Answer": "C", "Explanation": "A rotation of 180 degrees about a point maps every point to its opposite across that point.", "PictureURL": "", "OptionA": "Reflection", "OptionB": "Translation", "OptionC": "Rotation 180 degrees", "OptionD": "Dilation", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Transformations and Symmetry Practice Test", "Content Type": "multiple choice", "Title": "Transformations and Symmetry", "Item": 7, "Type": "multiple choice", "Path": "Transformations and symmetry" }, { "Question": "If a figure is rotated 90 degrees clockwise about the origin, where does the point (3, 4) move to?", "Answer": "B", "Explanation": "A 90-degree clockwise rotation about the origin maps (x, y) to (y, -x). So (3,4) becomes (4, -3).", "PictureURL": "", "OptionA": "(-4, 3)", "OptionB": "(4, -3)", "OptionC": "(-3, -4)", "OptionD": "(3, 4)", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Transformations and Symmetry Practice Test", "Content Type": "multiple choice", "Title": "Transformations and Symmetry", "Item": 8, "Type": "multiple choice", "Path": "Transformations and symmetry" }, { "Question": "Which of the following shapes has rotational symmetry of order 4?", "Answer": "D", "Explanation": "A square has rotational symmetry of order 4 because it looks the same after rotations of 90°, 180°, 270°, and 360°.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Square_rotational_symmetry.svg/220px-Square_rotational_symmetry.svg.png", "OptionA": "Equilateral triangle", "OptionB": "Rectangle (not square)", "OptionC": "Circle", "OptionD": "Square", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Transformations and Symmetry Practice Test", "Content Type": "multiple choice", "Title": "Transformations and Symmetry", "Item": 9, "Type": "multiple choice", "Path": "Transformations and symmetry" }, { "Question": "What is the line of symmetry for the letter 'A'?", "Answer": "A", "Explanation": "The letter 'A' has one vertical line of symmetry down its center.", "PictureURL": "", "OptionA": "Vertical line through the middle", "OptionB": "Horizontal line through the middle", "OptionC": "Diagonal line from top left to bottom right", "OptionD": "No line of symmetry", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Transformations and Symmetry Practice Test", "Content Type": "multiple choice", "Title": "Transformations and Symmetry", "Item": 10, "Type": "multiple choice", "Path": "Transformations and symmetry" }, { "Question": "Which transformation would map a triangle onto itself if rotated by 120 degrees?", "Answer": "B", "Explanation": "An equilateral triangle has rotational symmetry of order 3, so a 120-degree rotation maps it onto itself.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/1/1e/Equilateral_triangle_rotational_symmetry.svg/220px-Equilateral_triangle_rotational_symmetry.svg.png", "OptionA": "Isosceles triangle", "OptionB": "Equilateral triangle", "OptionC": "Scalene triangle", "OptionD": "Right triangle", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Transformations and Symmetry Practice Test", "Content Type": "multiple choice", "Title": "Transformations and Symmetry", "Item": 11, "Type": "multiple choice", "Path": "Transformations and symmetry" }, { "Question": "What is the effect of a reflection followed by a translation on a figure?", "Answer": "C", "Explanation": "The figure is first flipped over a line (reflection) and then slid to a new position (translation).", "PictureURL": "", "OptionA": "The figure is only rotated", "OptionB": "The figure is only enlarged", "OptionC": "The figure is flipped and then slid", "OptionD": "The figure is only flipped", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Transformations and Symmetry Practice Test", "Content Type": "multiple choice", "Title": "Transformations and Symmetry", "Item": 12, "Type": "multiple choice", "Path": "Transformations and symmetry" }, { "Question": "Which of the following best describes rotational symmetry?", "Answer": "A", "Explanation": "Rotational symmetry means a figure looks the same after a rotation less than 360 degrees about a center point.", "PictureURL": "", "OptionA": "Figure matches itself after rotation about a point", "OptionB": "Figure matches itself after reflection over a line", "OptionC": "Figure matches itself after sliding", "OptionD": "Figure changes size but keeps shape", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Transformations and Symmetry Practice Test", "Content Type": "multiple choice", "Title": "Transformations and Symmetry", "Item": 13, "Type": "multiple choice", "Path": "Transformations and symmetry" }, { "Question": "If a figure is dilated by a scale factor of 2 from its center, what happens to its area?", "Answer": "D", "Explanation": "When a figure is dilated by a scale factor k, its area changes by a factor of k squared. Here, 2 squared is 4, so the area quadruples.", "PictureURL": "", "OptionA": "Area doubles", "OptionB": "Area stays the same", "OptionC": "Area halves", "OptionD": "Area quadruples", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Transformations and Symmetry Practice Test", "Content Type": "multiple choice", "Title": "Transformations and Symmetry", "Item": 14, "Type": "multiple choice", "Path": "Transformations and symmetry" }, { "Question": "Which transformation preserves both the size and shape of a figure but changes its orientation?", "Answer": "C", "Explanation": "Rotation preserves size and shape but changes the figure's orientation by turning it around a point.", "PictureURL": "", "OptionA": "Dilation", "OptionB": "Translation", "OptionC": "Rotation", "OptionD": "Reflection", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Transformations and Symmetry Practice Test", "Content Type": "multiple choice", "Title": "Transformations and Symmetry", "Item": 15, "Type": "multiple choice", "Path": "Transformations and symmetry" } ]