3D Transformations in Computer Graphics: Interactive Learning Quizzes

Question 1

Explain the key difference between shearing and scaling transformations in terms of their impact on an object's shape. Provide an example for each.

Accepted Answer

Shearing distorts an object's shape by skewing it along an axis, while scaling uniformly increases or decreases its overall size.

Answer

Shearing preserves the shape of an object, whereas scaling changes its size.

Answer

Shearing and scaling are both non-linear transformations.

Answer

Shearing is applied to transform 2D objects, while scaling is used for 3D objects.

Question 2

Which property of reflection transformations means it flips an object across a plane?

Accepted Answer

Flips the object

Answer

Preserves distance

Answer

Rotates the object

Answer

Scales the object

Question 3

What is the inverse of a translation transformation matrix?

Accepted Answer

The same translation transformation matrix but with negated values

Answer

A rotation transformation matrix

Answer

A scaling transformation matrix

Answer

A shear transformation matrix

Question 4

What is the result of applying a sequence of transformations in the reverse order they were applied?

Accepted Answer

The same as applying them in the original order

Answer

The negation of the original transformations

Answer

A different transformation altogether

Answer

An unpredictable outcome

Question 5

What is the key difference between an orthographic and a perspective projection?

Accepted Answer

Orthographic projects parallel lines as parallel, while perspective does not

Answer

Perspective projects distant objects as smaller, while orthographic does not

Answer

Orthographic uses a fixed viewpoint, while perspective does not

Answer

Orthographic is preferred for technical drawings, while perspective is used for artistic renderings

Question 6

When concatenating a scaling transformation matrix with a translation transformation matrix, what is the result?

Accepted Answer

A single transformation matrix representing both scaling and translation

Answer

Two separate transformation matrices applied consecutively

Answer

An error due to incompatible operations

Answer

A rotation transformation matrix

Question 7

Which of the following represents a valid syntax for a translation transformation in 3D graphics?

Accepted Answer

translate(x, y, z)

Answer

translate(z, y)

Answer

translate(0, 0)

Answer

translate(1, 2, 3, 4)

Question 8

What is the primary purpose of a shear transformation in 3D graphics?

Accepted Answer

To scale an object non-uniformly

Answer

To rotate an object around an axis

Answer

To translate an object along a plane

Answer

To reflect an object across a plane

Question 9

Which of the provided transformation matrices represents a reflection across the yz-plane?

Accepted Answer

[-1, 0, 0, 0]
[0, -1, 0, 0]
[0, 0, 1, 0]
[0, 0, 0, 1]

Answer

[-1, 0, 0, 0]
[0, 1, 0, 0]
[0, 0, 1, 0]
[0, 0, 0, 1]

Answer

[-1, 0, 0, 0]
[0, 1, 0, 0]
[0, 0, -1, 0]
[0, 0, 0, 1]

Answer

[-1, 0, 0, 0]
[0, -1, 0, 0]
[0, 0, -1, 0]
[0, 0, 0, 1]

Question 10

Which type of transformation remains unaffected by the object's pivot point?

Accepted Answer

Translation

Answer

Rotation

Answer

Scaling

Answer

Shear

Question 11

What is the primary reason for using homogeneous coordinates in 3D transformations?

Accepted Answer

To simplify matrix multiplication

Answer

To represent translations

Answer

To represent rotations

Answer

To represent non-linear transformations

Question 12

Which transformation operation moves an object from one point to another in 3D space?

Accepted Answer

Move

Answer

Rotation

Answer

Scale

Answer

Shear

Question 13

Which transformation rotates an object around a specified axis?

Accepted Answer

Rotate

Answer

Translation

Answer

Scale

Answer

Shear

Question 14

Which transformation operation changes the size of an object?

Accepted Answer

Scale

Answer

Translation

Answer

Rotation

Answer

Shear

Question 15

Which transformation skews or distorts an object along a particular axis?

Accepted Answer

Shear

Answer

Translation

Answer

Rotation

Answer

Scale

Question 16

Which transformation operation flips an object across a specified plane?

Accepted Answer

Reflect

Answer

Project

Answer

Orthographic projection

Answer

Perspective projection

Question 17

Which transformation matrix is used to translate an object along the x-axis?

Accepted Answer

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

Answer

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

Answer

[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, tz, 1]]

Answer

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

Question 18

Which type of projection preserves parallel lines?

Accepted Answer

Orthographic projection

Answer

Perspective projection

Answer

Oblique projection

Answer

Cavalier projection

Question 19

Identify the matrix that represents a translation of a 3D object along the x, y, and z axes.

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 20

What is the primary purpose of applying shearing to a 3D object?

Accepted Answer

To distort the object by skewing it in one direction.

Answer

To enlarge or reduce the object in one or more directions.

Answer

To rotate the object around an axis.

Answer

To move the object in space.

Question 21

Which transformation matrix represents a 90-degree rotation about the x-axis?

Accepted Answer

RotateX(90)

Answer

RotateY(90)

Answer

RotateZ(90)

Answer

Translate(0, 0, 90)

Question 22

What is the effect of applying a scaling factor of 2 to an object in the y-direction?

Accepted Answer

The object's height will double.

Answer

The object's width will double.

Answer

The object's depth will double.

Answer

The object will be reflected over the y-axis.

Question 23

Which of the following operations is NOT a valid 3D transformation?

Accepted Answer

Projection

Answer

Translation

Answer

Reflection

Answer

Rotation

Question 24

What is the inverse operation of a scaling transformation?

Accepted Answer

Scaling by the reciprocal of the original factor.

Answer

Reflection over the origin.

Answer

Rotation by 180 degrees.

Answer

Translation by the negation of the original vector.

Question 25

What is the main purpose of using homogeneous coordinates in 3D transformations?

Accepted Answer

To represent 3D points in a 4D space.

Answer

To represent translations as vectors.

Answer

To represent rotations as matrices.

Answer

To simplify the computation of perspective transformations.

Question 26

Which of the following geometric primitives cannot be transformed using 3D transformations?

Accepted Answer

Line

Answer

Sphere

Answer

Cube

Answer

Cylinder

Question 27

Which 3D transformation involves moving an object along a straight line?

Accepted Answer

Translation

Answer

Rotation

Answer

Scaling

Answer

Shearing

Question 28

What type of transformation changes the size of an object uniformly in all directions?

Accepted Answer

Uniform scaling

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 29

What is the effect of a shearing transformation along the x-axis?

Accepted Answer

Tilts the object along the x-axis

Answer

Scales the object along the y-axis

Answer

Rotates the object around the z-axis

Answer

Reflects the object across the x-axis

Question 30

What is the purpose of using a composite transformation matrix?

Accepted Answer

To perform multiple transformations on an object in a single operation

Answer

To reduce computational cost

Answer

To ensure numerical stability

Answer

To simplify the transformation process

Question 31

Which of the following is a type of perspective projection?

Accepted Answer

Two-point perspective

Answer

Orthographic

Answer

Isometric

Answer

Cavalier

Question 32

What is the shape of the viewing volume in a perspective transformation?

Accepted Answer

A pyramid defined by the camera position and the near and far clipping planes

Answer

A rectangular prism defined by the near and far clipping planes

Answer

A sphere defined by the camera position and the radius of the viewing frustum

Answer

A cylinder defined by the camera position and the radii of the near and far clipping planes

Question 33

What is the role of a model-view-projection (MVP) matrix in 3D computer graphics?

Accepted Answer

Transforms an object from model space to view space to projection space

Answer

Transforms an object from view space to model space to projection space

Answer

Transforms an object from model space to projection space to view space

Answer

Transforms an object from projection space to view space to model space

Question 34

Which of the following is NOT a fundamental type of 3D transformation used in computer graphics?

Accepted Answer

Extrusion

Answer

Rotation

Answer

Translation

Question 35

Which transformation involves moving an object along a linear path in 3D space?

Accepted Answer

Translation

Answer

Shearing

Answer

Rotation

Answer

Reflection

Question 36

Which transformation is used to change the size of an object in 3D space?

Accepted Answer

Scaling

Answer

Translation

Answer

Shearing

Answer

Rotation

Question 37

What is the inverse transformation of a translation by vector v in 3D space?

Accepted Answer

Translation by -v

Answer

Translation by v/2

Answer

Scaling by -v

Answer

Rotation by -v

Question 38

Which type of transformation preserves the shape of an object in 3D space?

Accepted Answer

Rigid transformation

Answer

Projective transformation

Answer

Non-rigid transformation

Answer

Affine transformation

Question 39

What is the purpose of using a transformation matrix in 3D graphics?

Accepted Answer

To represent a transformation as a single mathematical entity

Answer

To store the coordinates of transformed points

Answer

To calculate the inverse transformation

Question 40

Which of the following transformations can be used to create a mirror image of an object in 3D space?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Scaling