Q.1 Which transformation flips a figure over a line?
Translation
Rotation
Reflection
Dilation
Explanation - A reflection produces a mirror image of a figure across a line.
Correct answer is: Reflection
Q.2 A figure is moved 5 units to the right without rotation. What transformation is this?
Rotation
Translation
Reflection
Dilation
Explanation - A translation slides a figure without rotating or flipping it.
Correct answer is: Translation
Q.3 Which transformation changes the size of a figure but not its shape?
Rotation
Translation
Dilation
Reflection
Explanation - Dilation enlarges or reduces a figure while maintaining its shape.
Correct answer is: Dilation
Q.4 Rotating a square 90° clockwise around its center results in:
Same square in new position
A larger square
A flipped square
No change
Explanation - Rotation moves a figure around a point without changing size or shape.
Correct answer is: Same square in new position
Q.5 Which of the following transformations preserves both shape and size?
Reflection
Translation
Rotation
All of these
Explanation - Reflection, translation, and rotation are rigid motions that preserve size and shape.
Correct answer is: All of these
Q.6 What is the line of reflection for reflecting a point (x,y) to (x, -y)?
x-axis
y-axis
y=x
origin
Explanation - Flipping the sign of the y-coordinate reflects across the x-axis.
Correct answer is: x-axis
Q.7 If a triangle is rotated 180° around the origin, point (2,3) maps to:
(3,2)
(-2,-3)
(2,-3)
(-3,-2)
Explanation - A 180° rotation around the origin changes (x,y) to (-x,-y).
Correct answer is: (-2,-3)
Q.8 Which transformation moves a shape without changing orientation?
Reflection
Rotation
Translation
Dilation
Explanation - Translation slides a figure without flipping or rotating it.
Correct answer is: Translation
Q.9 Which transformation is not a rigid motion?
Translation
Rotation
Reflection
Dilation
Explanation - Rigid motions preserve size; dilation does not since it changes size.
Correct answer is: Dilation
Q.10 A figure is enlarged by a scale factor of 3. This is:
Rotation
Dilation
Reflection
Translation
Explanation - Enlarging or shrinking with a scale factor is dilation.
Correct answer is: Dilation
Q.11 The image of point (4, -5) after reflection in the y-axis is:
(-4, -5)
(4, 5)
(-4, 5)
(5, -4)
Explanation - Reflection across the y-axis changes (x,y) to (-x,y).
Correct answer is: (-4, -5)
Q.12 Rotation of point (1,0) by 90° counterclockwise around the origin gives:
(0,1)
(0,-1)
(-1,0)
(1,1)
Explanation - A 90° counterclockwise rotation sends (x,y) to (-y,x).
Correct answer is: (0,1)
Q.13 Which transformation produces a mirror image?
Rotation
Reflection
Translation
Dilation
Explanation - Reflection flips a figure across a line, creating a mirror image.
Correct answer is: Reflection
Q.14 A figure undergoes a translation followed by a rotation. This is called:
Rigid motion
Composite transformation
Dilation
Symmetry
Explanation - Applying multiple transformations in sequence is a composite transformation.
Correct answer is: Composite transformation
Q.15 If point (3,4) is rotated 270° counterclockwise about the origin, the new coordinates are:
(4,-3)
(-4,3)
(3,-4)
(-3,-4)
Explanation - 270° counterclockwise rotation is same as 90° clockwise: (x,y) → (y,-x).
Correct answer is: (4,-3)
Q.16 Which of the following is an isometry?
Dilation
Translation
Stretching
Shearing
Explanation - Isometries preserve distance. Translation preserves size and distance.
Correct answer is: Translation
Q.17 Reflecting point (2,3) across the line y=x gives:
(3,2)
(-3,2)
(-2,-3)
(2,-3)
Explanation - Reflection across y=x swaps coordinates (x,y) → (y,x).
Correct answer is: (3,2)
Q.18 What is preserved under dilation?
Shape
Size
Both
Neither
Explanation - Dilation changes size but preserves the figure’s shape and proportions.
Correct answer is: Shape
Q.19 Which sequence of transformations maps a square onto itself?
Translation then dilation
Rotation of 90°
Reflection across diagonal
Both rotation and reflection
Explanation - Squares map onto themselves with 90° rotations and diagonal reflections.
Correct answer is: Both rotation and reflection
Q.20 A translation moves a point (x,y) to (x+3, y-2). What happens to point (1,1)?
(4,-1)
(2,3)
(3,-2)
(5,0)
Explanation - Add 3 to x and subtract 2 from y: (1+3,1-2)=(4,-1).
Correct answer is: (4,-1)
Q.21 Which transformation can result in a congruent figure?
Reflection
Rotation
Translation
All of these
Explanation - Reflections, rotations, and translations produce congruent figures.
Correct answer is: All of these
Q.22 Which of the following does not change orientation of a figure?
Rotation
Reflection
Translation
Both rotation and translation
Explanation - Reflections flip orientation; rotations and translations do not.
Correct answer is: Both rotation and translation
Q.23 Which transformation maps (x,y) to (-x,-y)?
Reflection in y-axis
Reflection in x-axis
Rotation 180° about origin
Translation
Explanation - 180° rotation around origin sends (x,y) → (-x,-y).
Correct answer is: Rotation 180° about origin
Q.24 Which transformation could map a rectangle onto itself?
Translation
Rotation 180°
Reflection across vertical axis
All of these
Explanation - Rectangles have multiple symmetries: translations, 180° rotation, and reflections.
Correct answer is: All of these
Q.25 Enlarging a triangle by a factor of 2 is an example of:
Rotation
Reflection
Dilation
Translation
Explanation - Scaling up by a factor is dilation.
Correct answer is: Dilation