2D Transformations in Computer Graphics: Interactive Learning Quizzes

Question 1

Which transformation involves modifying the size of an object?

Accepted Answer

Scaling

Answer

Translation

Answer

Rotation

Answer

Shearing

Question 2

What is the inverse of a scaling transformation with a scale factor of 0.5?

Accepted Answer

Scaling with a scale factor of 2

Answer

Scaling with a scale factor of 0.25

Answer

Scaling with a scale factor of 1.5

Answer

Translation with a vector of 0.5

Question 3

Which of these options represents a valid type of 2D transformation in computer graphics?

Accepted Answer

Translation

Accepted Answer

Reflection

Answer

Addition

Answer

Multiplication

Question 4

In the context of 2D transformations, which of the following is NOT a fundamental transformation matrix?

Accepted Answer

Projection matrix

Answer

Translation matrix

Answer

Rotation matrix

Answer

Scaling matrix

Question 5

What is the primary purpose of the homogeneous coordinate in transformation matrices?

Accepted Answer

Enabling concatenation of transformations

Answer

Representing the translation component

Answer

Representing the rotation component

Answer

Maintaining numerical accuracy

Question 6

Which of the following transformations cannot be represented by a single matrix?

Accepted Answer

Reflection combined with Scaling

Answer

Translation

Answer

Rotation

Answer

Shearing

Question 7

Which transformation does not preserve an object's shape?

Accepted Answer

Shearing

Answer

Scaling

Answer

Rotation

Answer

Translation

Question 8

What is the effect of applying the transformation matrix [2 0 0; 0 2 0; 0 0 1] to an object?

Accepted Answer

Scales by a factor of 2 in both x and y directions

Answer

Translates by (2, 2)

Answer

Rotates by 90 degrees

Answer

Reflects about the x and y axes

Question 9

What is the inverse transformation of a translation by (a, b)?

Accepted Answer

Translation by (-a, -b)

Answer

Translation by (a, b)

Answer

Rotation by -90 degrees

Answer

Scaling by a factor of 1

Question 10

What is the purpose of shear transformation?

Accepted Answer

Distorts an object by skewing it along one or both axes

Answer

Rotates an object around a fixed point

Answer

Scales an object uniformly

Answer

Translates an object by a specific distance

Question 11

Which is NOT a 2D transformation?

Accepted Answer

Perspective projection

Answer

Translation

Answer

Rotation

Answer

Scaling

Question 12

What is the effect of applying shear transformation to a rectangle?

Accepted Answer

Distorts the rectangle into a parallelogram

Answer

Stretches the rectangle along one axis

Answer

Rotates the rectangle

Answer

Reflects the rectangle across one axis

Question 13

What is the inverse operation of scaling transformation?

Accepted Answer

Inverse scaling

Answer

Translation

Answer

Rotation

Answer

Shearing

Question 14

Which 2D transformation operation involves moving an object from one point to another?

Accepted Answer

Translation

Answer

Rotation

Answer

Scaling

Answer

Reflection

Question 15

What happens when an object is scaled by a factor of 2 in both the x and y directions?

Accepted Answer

The object enlarges by a factor of 2

Answer

The object enlarges by a factor of 4

Answer

The object shrinks by a factor of 2

Answer

The object shrinks by a factor of 4

Question 16

Identify the shearing transformation that skews an object along the x-axis:

Accepted Answer

[1 s; 0 1]

Answer

[s 0; 0 1]

Answer

[0 1; s 0]

Answer

[0 s; 1 0]

Question 17

In a transformation matrix, what does the determinant represent?

Accepted Answer

Area of the transformed object

Answer

Scale factor of the transformed object

Answer

Angle of rotation of the transformed object

Answer

Number of reflections applied to the transformed object

Question 18

Which of these operations is not considered a rigid transformation?

Accepted Answer

Shearing

Answer

Translation

Answer

Rotation

Answer

Scaling

Question 19

Which transformation creates a mirror image of an object across a specified axis?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Shearing

Question 20

To rotate an object upside down around its center, what angle of rotation is required?

Accepted Answer

180 degrees

Answer

90 degrees

Answer

270 degrees

Answer

360 degrees

Question 21

Which transformation matrix accurately represents a translation of 5 units along the x-axis and 2 units along the y-axis?

Accepted Answer

[1 0 5; 0 1 2; 0 0 1]

Answer

[5 0 1; 0 2 1; 0 0 1]

Answer

[0 1 5; 1 0 2; 0 0 1]

Answer

[0 0 1; 1 5 2; 0 0 1]

Question 22

The inverse of a scaling transformation matrix is:

Accepted Answer

Another scaling transformation matrix with an inverse scaling factor.

Answer

A reflection transformation matrix.

Answer

A rotation transformation matrix.

Answer

A translation transformation matrix.

Question 23

Which transformation involves moving an object horizontally or vertically without altering its size or orientation?

Accepted Answer

Translation

Answer

Rotation

Answer

Scaling

Answer

Shearing

Question 24

Which transformation entails rotating an object around a fixed point by a given angle?

Accepted Answer

Rotation

Answer

Translation

Answer

Scaling

Answer

Reflection

Question 25

Which transformation uniformly increases or decreases the size of an object?

Accepted Answer

Scaling

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 26

Which transformation distorts an object by skewing it along a line?

Accepted Answer

Shearing

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 27

Which transformation flips an object across a line, producing a mirror image?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Scaling

Question 28

Which matrix facilitates the translation of an object by (tx, ty)?

Accepted Answer

[[1, 0, tx], [0, 1, ty], [0, 0, 1]]

Answer

[[0, 1, tx], [1, 0, ty], [0, 0, 1]]

Answer

[[tx, 0, 0], [0, ty, 0], [0, 0, 1]]

Answer

[[1, 0, 0], [0, 1, 0], [tx, ty, 1]]

Question 29

Which matrix enables the rotation of an object by an angle θ around the origin?

Accepted Answer

[[cos(θ), -sin(θ), 0], [sin(θ), cos(θ), 0], [0, 0, 1]]

Answer

[[cos(θ), sin(θ), 0], [-sin(θ), cos(θ), 0], [0, 0, 1]]

Answer

[[0, -sin(θ), cos(θ)], [sin(θ), 0, cos(θ)], [0, 0, 1]]

Answer

[[0, cos(θ), sin(θ)], [-cos(θ), 0, sin(θ)], [0, 0, 1]]

Question 30

Which transformation can create a distorted version of an image by applying different shear factors to the x and y axes?

Accepted Answer

Shear

Answer

Reflection

Answer

Scaling

Answer

Rotation

Question 31

In the context of 2D transformations, which type of transformation involves displacing an object along a specific direction without altering its size or orientation?

Accepted Answer

Translation

Answer

Rotation

Answer

Scaling

Answer

Shear

Question 32

When applying a rotation transformation around a specific point, which point remains stationary?

Accepted Answer

The point of rotation

Answer

The origin of the coordinate system

Answer

A randomly selected point

Answer

All points within the object

Question 33

Which transformation proportionally increases or decreases the size of an object along both the horizontal and vertical axes?

Accepted Answer

Uniform Scaling

Answer

Translation

Answer

Rotation

Answer

Non-uniform Scaling

Question 34

What type of transformation skews an object along one axis without changing its shape?

Accepted Answer

Shear

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 35

Which transformation creates an image of an object that is symmetrical across a specified axis?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Scaling

Question 36

When applying a series of transformations, which transformation occurs last?

Accepted Answer

The last transformation listed

Answer

The first transformation listed

Answer

All transformations occur simultaneously

Answer

The order of transformations is irrelevant

Question 37

Which transformation matrix represents a translation of 3 units along the y-axis?

Accepted Answer

[[1, 0, 0], [0, 1, 3], [0, 0, 1]]

Answer

[[0, 1, 3], [1, 0, 0], [0, 0, 1]]

Answer

[[1, 0, 0], [0, 0, 1], [0, 3, 1]]

Answer

[[0, 0, 1], [1, 0, 3], [0, 1, 0]]

Question 38

What is the determinant of a rotation matrix in 2D space?

Accepted Answer

1

Answer

0

Answer

-1

Answer

It depends on the angle of rotation

Question 39

Consider the transformation matrix [1 0 tx; 0 1 ty; 0 0 1]. What transformation does this matrix represent?

Accepted Answer

Translation

Answer

Scaling

Answer

Rotation

Answer

Reflection

Question 40

Which transformation can be used to distort an object without changing its shape?

Accepted Answer

Shear

Answer

Translation

Answer

Scaling

Answer

Rotation

Question 41

What is the inverse of a translation transformation?

Accepted Answer

A translation transformation with the same translation vector in the opposite direction.

Answer

A scaling transformation with a scaling factor of 1.

Answer

A rotation transformation with an angle of 0 radians.

Answer

A shear transformation with a shear factor of 0.